Debnath, Argha; Khan, Ayan; Malomed, Boris Interaction of one-dimensional quantum droplets with potential wells and barriers. (English) Zbl 1527.35371 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107457, 19 p. (2023). MSC: 35Q55 35Q41 81Q10 81V73 81V45 82D05 82C10 PDFBibTeX XMLCite \textit{A. Debnath} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107457, 19 p. (2023; Zbl 1527.35371) Full Text: DOI arXiv
Xu, Xiaoxi; Zhao, Feiyan; Zhou, Yangui; Liu, Bin; Jiang, Xunda; Malomed, Boris A.; Li, Yongyao Vortex gap solitons in spin-orbit-coupled Bose-Einstein condensates with competing nonlinearities. (English) Zbl 1504.35504 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106930, 13 p. (2023). MSC: 35Q55 35Q51 82C10 81Q80 78A60 35C08 PDFBibTeX XMLCite \textit{X. Xu} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106930, 13 p. (2023; Zbl 1504.35504) Full Text: DOI arXiv
Malomed, B. A. Multidimensional dissipative solitons and solitary vortices. (English) Zbl 1507.35260 Chaos Solitons Fractals 163, Article ID 112526, 28 p. (2022). MSC: 35Q55 35Q56 78A60 35C08 PDFBibTeX XMLCite \textit{B. A. Malomed}, Chaos Solitons Fractals 163, Article ID 112526, 28 p. (2022; Zbl 1507.35260) Full Text: DOI arXiv
Wang, Qing; Zhang, Lingling; Malomed, Boris A.; Mihalache, Dumitru; Zeng, Liangwei Transformation of multipole and vortex solitons in the nonlocal nonlinear fractional Schrödinger equation by means of Lévy-index management. (English) Zbl 1498.78042 Chaos Solitons Fractals 157, Article ID 111995, 8 p. (2022). MSC: 78A60 35Q55 35C08 35R11 26A33 PDFBibTeX XMLCite \textit{Q. Wang} et al., Chaos Solitons Fractals 157, Article ID 111995, 8 p. (2022; Zbl 1498.78042) Full Text: DOI
Kengne, Emmanuel; Liu, Wu-Ming; English, Lars Q.; Malomed, Boris A. Ginzburg-Landau models of nonlinear electric transmission networks. (English) Zbl 1518.35575 Phys. Rep. 982, 1-124 (2022). MSC: 35Q55 35Q56 78A60 78A40 78A25 35C08 35C07 35B35 35B32 35-02 PDFBibTeX XMLCite \textit{E. Kengne} et al., Phys. Rep. 982, 1--124 (2022; Zbl 1518.35575) Full Text: DOI
Chen, Yong; Yan, Zhenya; Malomed, Boris A. Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. (English) Zbl 1490.35401 Physica D 430, Article ID 133099, 14 p. (2022). MSC: 35Q55 35Q60 35C08 35B35 78A60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Physica D 430, Article ID 133099, 14 p. (2022; Zbl 1490.35401) Full Text: DOI arXiv
Cabanas, Ana M.; Rivas, Ronald; Pérez, Laura M.; Vélez, Javier A.; Díaz, Pablo; Clerc, Marcel G.; Pleiner, Harald; Laroze, David; Malomed, Boris A. A quasi-periodic route to chaos in a parametrically driven nonlinear medium. (English) Zbl 1498.35493 Chaos Solitons Fractals 151, Article ID 111089, 8 p. (2021). MSC: 35Q55 PDFBibTeX XMLCite \textit{A. M. Cabanas} et al., Chaos Solitons Fractals 151, Article ID 111089, 8 p. (2021; Zbl 1498.35493) Full Text: DOI arXiv
He, Shangling; Malomed, Boris A.; Mihalache, Dumitru; Peng, Xi; Yu, Xing; He, Yingji; Deng, Dongmei Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation. (English) Zbl 1496.35427 Chaos Solitons Fractals 142, Article ID 110470, 9 p. (2021). MSC: 35R11 35Q55 35J10 PDFBibTeX XMLCite \textit{S. He} et al., Chaos Solitons Fractals 142, Article ID 110470, 9 p. (2021; Zbl 1496.35427) Full Text: DOI arXiv
Kengne, Emmanuel; Malomed, Boris A.; Liu, WuMing Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential. (English) Zbl 1477.35243 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021). MSC: 35Q55 35Q60 35C08 78A60 78A45 78A40 82C10 37K10 PDFBibTeX XMLCite \textit{E. Kengne} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021; Zbl 1477.35243) Full Text: DOI arXiv
Cao, Yulei; Cheng, Yi; Malomed, Boris A.; He, Jingsong Rogue waves and lumps on the nonzero background in the \(\mathcal{PT}\)-symmetric nonlocal Maccari system. (English) Zbl 1487.35348 Stud. Appl. Math. 147, No. 2, 694-723 (2021). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{Y. Cao} et al., Stud. Appl. Math. 147, No. 2, 694--723 (2021; Zbl 1487.35348) Full Text: DOI arXiv
Kengne, Emmanuel; Liu, Wu-Ming; Malomed, Boris A. Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates. (English) Zbl 1476.81037 Phys. Rep. 899, 1-62 (2021). MSC: 81Q05 35Q55 35C08 81V73 82B26 81U30 PDFBibTeX XMLCite \textit{E. Kengne} et al., Phys. Rep. 899, 1--62 (2021; Zbl 1476.81037) Full Text: DOI arXiv
Sakaguchi, Hidetsugu; Malomed, Boris A. Symmetry breaking in a two-component system with repulsive interactions and linear coupling. (English) Zbl 1452.78024 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105496, 13 p. (2021). MSC: 78A60 78A50 82C10 82C20 82C26 81R40 35C08 35Q55 PDFBibTeX XMLCite \textit{H. Sakaguchi} and \textit{B. A. Malomed}, Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105496, 13 p. (2021; Zbl 1452.78024) Full Text: DOI arXiv
Qiu, Yunli; Malomed, Boris A.; Mihalache, Dumitru; Zhu, Xing; Peng, Xi; He, Yingji Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential. (English) Zbl 1495.35199 Chaos Solitons Fractals 140, Article ID 110222, 7 p. (2020). MSC: 35R11 35Q55 35C08 PDFBibTeX XMLCite \textit{Y. Qiu} et al., Chaos Solitons Fractals 140, Article ID 110222, 7 p. (2020; Zbl 1495.35199) Full Text: DOI arXiv
Li, Pengfei; Malomed, Boris A.; Mihalache, Dumitru Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity. (English) Zbl 1489.35301 Chaos Solitons Fractals 137, Article ID 109783, 9 p. (2020). MSC: 35R11 35Q55 35C08 26A33 PDFBibTeX XMLCite \textit{P. Li} et al., Chaos Solitons Fractals 137, Article ID 109783, 9 p. (2020; Zbl 1489.35301) Full Text: DOI arXiv
Rao, Jiguang; Malomed, Boris A.; Cheng, Yi; He, Jingsong Dynamics of interaction between lumps and solitons in the Mel’nikov equation. (English) Zbl 1448.35437 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105429, 21 p. (2020). MSC: 35Q51 35Q55 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105429, 21 p. (2020; Zbl 1448.35437) Full Text: DOI
Oliinyk, Artem; Malomed, Boris; Yakimenko, Alexander Nonlinear dynamics of Josephson vortices in merging superfluid rings. (English) Zbl 1451.82059 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105113, 11 p. (2020). MSC: 82D50 82C10 82C26 35Q55 PDFBibTeX XMLCite \textit{A. Oliinyk} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105113, 11 p. (2020; Zbl 1451.82059) Full Text: DOI arXiv
Van Gorder, Robert A.; Krause, Andrew L.; Malomed, Boris A.; Kaup, D. J. Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. (English) Zbl 1453.82047 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105244, 14 p. (2020). MSC: 82C20 35Q55 35Q41 35C08 82C10 35A15 78A50 78A60 PDFBibTeX XMLCite \textit{R. A. Van Gorder} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105244, 14 p. (2020; Zbl 1453.82047) Full Text: DOI arXiv
Gromov, E. M.; Malomed, B. A. Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schrödinger equation. (English) Zbl 1452.35185 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105220, 10 p. (2020). MSC: 35Q55 35C08 35P25 PDFBibTeX XMLCite \textit{E. M. Gromov} and \textit{B. A. Malomed}, Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105220, 10 p. (2020; Zbl 1452.35185) Full Text: DOI arXiv
Huang, Tang-You; Malomed, Boris A.; Chen, Xi Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation. (English) Zbl 1437.82014 Chaos 30, No. 5, 053131, 10 p. (2020). MSC: 82C10 35Q55 PDFBibTeX XMLCite \textit{T.-Y. Huang} et al., Chaos 30, No. 5, 053131, 10 p. (2020; Zbl 1437.82014) Full Text: DOI arXiv
Li, Pengfei; Malomed, Boris A.; Mihalache, Dumitru Symmetry breaking of spatial Kerr solitons in fractional dimension. (English) Zbl 1434.35008 Chaos Solitons Fractals 132, Article ID 109602, 9 p. (2020). MSC: 35C08 35Q55 PDFBibTeX XMLCite \textit{P. Li} et al., Chaos Solitons Fractals 132, Article ID 109602, 9 p. (2020; Zbl 1434.35008) Full Text: DOI arXiv
Fan, Zhiwei; Malomed, Boris A. Dynamical control of solitons in a parity-time-symmetric coupler by periodic management. (English) Zbl 1510.78048 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104906, 10 p. (2019). MSC: 78A60 78A50 35C08 35B06 35Q55 PDFBibTeX XMLCite \textit{Z. Fan} and \textit{B. A. Malomed}, Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104906, 10 p. (2019; Zbl 1510.78048) Full Text: DOI arXiv
Cuevas-Maraver, J.; Kevrekidis, P. G.; Malomed, Boris A.; Guo, Lijuan Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity. (English) Zbl 1425.35178 J. Phys. A, Math. Theor. 52, No. 6, Article ID 065202, 14 p. (2019). MSC: 35Q55 35C08 35J87 35B35 PDFBibTeX XMLCite \textit{J. Cuevas-Maraver} et al., J. Phys. A, Math. Theor. 52, No. 6, Article ID 065202, 14 p. (2019; Zbl 1425.35178) Full Text: DOI arXiv
Sakaguchi, Hidetsugu; Malomed, Boris Nonlinear management of topological solitons in a spin-orbit-coupled system. (English) Zbl 1423.35353 Symmetry 11, No. 3, Paper No. 388, 11 p. (2019). MSC: 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{H. Sakaguchi} and \textit{B. Malomed}, Symmetry 11, No. 3, Paper No. 388, 11 p. (2019; Zbl 1423.35353) Full Text: DOI arXiv
Liu, Bin; Li, Lu; Malomed, Boris A. Stability band structure for periodic states in periodic potentials. (English) Zbl 1420.35367 Appl. Numer. Math. 141, 44-53 (2019). MSC: 35Q55 78A50 78A60 35B35 65N25 65N06 PDFBibTeX XMLCite \textit{B. Liu} et al., Appl. Numer. Math. 141, 44--53 (2019; Zbl 1420.35367) Full Text: DOI arXiv
Gromov, Eugenie M.; Malomed, Boris A.; Tyutin, Viktor V. Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion. (English) Zbl 1510.35299 Commun. Nonlinear Sci. Numer. Simul. 54, 13-20 (2018). MSC: 35Q55 35C08 37K50 PDFBibTeX XMLCite \textit{E. M. Gromov} et al., Commun. Nonlinear Sci. Numer. Simul. 54, 13--20 (2018; Zbl 1510.35299) Full Text: DOI arXiv
Cao, Yulei; Malomed, Boris A.; He, Jingsong Two \((2+1)\)-dimensional integrable nonlocal nonlinear Schrödinger equations: breather, rational and semi-rational solutions. (English) Zbl 1415.35082 Chaos Solitons Fractals 114, 99-107 (2018). MSC: 35C08 35Q51 35Q55 37K10 37K35 PDFBibTeX XMLCite \textit{Y. Cao} et al., Chaos Solitons Fractals 114, 99--107 (2018; Zbl 1415.35082) Full Text: DOI arXiv
Burlak, Gennadiy; Malomed, Boris A. Interactions of three-dimensional solitons in the cubic-quintic model. (English) Zbl 1394.35465 Chaos 28, No. 6, 063121, 7 p. (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{G. Burlak} and \textit{B. A. Malomed}, Chaos 28, No. 6, 063121, 7 p. (2018; Zbl 1394.35465) Full Text: DOI arXiv
Li, Yongyao; Luo, Zhihuan; Liu, Yan; Chen, Zhaopin; Huang, Chunqing; Fu, Shenhe; Tan, Haishu; Malomed, Boris A. Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates. (English) Zbl 1516.74059 New J. Phys. 19, No. 11, Article ID 113043, 13 p. (2017). MSC: 74J35 35Q51 35Q55 82B26 82B10 PDFBibTeX XMLCite \textit{Y. Li} et al., New J. Phys. 19, No. 11, Article ID 113043, 13 p. (2017; Zbl 1516.74059) Full Text: DOI arXiv
Sakaguchi, Hidetsugu; Malomed, Boris A.; Skryabin, Dmitry V. Spin-orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap. (English) Zbl 1516.78015 New J. Phys. 19, No. 8, Article ID 085003, 9 p. (2017). MSC: 78A60 35Q55 35Q51 74J35 78A05 PDFBibTeX XMLCite \textit{H. Sakaguchi} et al., New J. Phys. 19, No. 8, Article ID 085003, 9 p. (2017; Zbl 1516.78015) Full Text: DOI arXiv
Zeng, Jianhua; Malomed, Boris A. Suppressing the critical collapse of solitons by one-dimensional quintic nonlinear lattices. (English) Zbl 1520.35146 Math. Comput. Simul. 127, 287-296 (2016). MSC: 35Q55 35C08 82C10 PDFBibTeX XMLCite \textit{J. Zeng} and \textit{B. A. Malomed}, Math. Comput. Simul. 127, 287--296 (2016; Zbl 1520.35146) Full Text: DOI
Radha, R.; Vinayagam, P. S.; Sudharsan, J. B.; Malomed, Boris A. Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap. (English) Zbl 1467.35301 Commun. Nonlinear Sci. Numer. Simul. 31, No. 1-3, 30-39 (2016). MSC: 35Q55 35C08 81Q05 PDFBibTeX XMLCite \textit{R. Radha} et al., Commun. Nonlinear Sci. Numer. Simul. 31, No. 1--3, 30--39 (2016; Zbl 1467.35301) Full Text: DOI arXiv
Gromov, Evgeny; Malomed, Boris Coupled solitons of intense high-frequency and low-frequency waves in Zakharov-type systems. (English) Zbl 1378.35070 Chaos 26, No. 12, 123118, 10 p. (2016). MSC: 35C08 35Q53 35Q55 PDFBibTeX XMLCite \textit{E. Gromov} and \textit{B. Malomed}, Chaos 26, No. 12, 123118, 10 p. (2016; Zbl 1378.35070) Full Text: DOI arXiv
Wen, Xiao-Yong; Yan, Zhenya; Malomed, Boris A. Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability. (English) Zbl 1378.35284 Chaos 26, No. 12, 123110, 15 p. (2016). MSC: 35Q55 35C05 35A22 35B35 PDFBibTeX XMLCite \textit{X.-Y. Wen} et al., Chaos 26, No. 12, 123110, 15 p. (2016; Zbl 1378.35284) Full Text: DOI arXiv
Lebedev, M. E.; Alfimov, G. L.; Malomed, Boris A. Stable dipole solitons and soliton complexes in the nonlinear Schrödinger equation with periodically modulated nonlinearity. (English) Zbl 1375.35496 Chaos 26, No. 7, 073110, 12 p. (2016). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{M. E. Lebedev} et al., Chaos 26, No. 7, 073110, 12 p. (2016; Zbl 1375.35496) Full Text: DOI arXiv
Genoud, François; Malomed, Boris A.; Weishäupl, Rada M. Stable NLS solitons in a cubic-quintic medium with a delta-function potential. (English) Zbl 1398.35213 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 28-50 (2016). MSC: 35Q55 35B32 35C08 35J61 37C75 74J30 78A60 35J60 PDFBibTeX XMLCite \textit{F. Genoud} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 28--50 (2016; Zbl 1398.35213) Full Text: DOI arXiv
Yang, Yunqing; Yan, Zhenya; Malomed, Boris A. Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation. (English) Zbl 1374.35392 Chaos 25, No. 10, 103112, 9 p. (2015). MSC: 35Q55 35C08 37K40 PDFBibTeX XMLCite \textit{Y. Yang} et al., Chaos 25, No. 10, 103112, 9 p. (2015; Zbl 1374.35392) Full Text: DOI arXiv
Radha, R.; Vinayagam, P. S.; Sudharsan, J. B.; Liu, Wu-Ming; Malomed, Boris A. Engineering bright solitons to enhance the stability of two-component Bose-Einstein condensates. (English) Zbl 1349.35354 Phys. Lett., A 379, No. 45-46, 2977-2983 (2015). MSC: 35Q55 37K40 37K10 PDFBibTeX XMLCite \textit{R. Radha} et al., Phys. Lett., A 379, No. 45--46, 2977--2983 (2015; Zbl 1349.35354) Full Text: DOI arXiv
Karjanto, N.; Hanif, W.; Malomed, B. A.; Susanto, H. Interactions of bright and dark solitons with localized \(\mathcal{P} \mathcal{T}\)-symmetric potentials. (English) Zbl 1345.35016 Chaos 25, No. 2, 023112, 11 p. (2015). MSC: 35C08 35Q55 35C05 PDFBibTeX XMLCite \textit{N. Karjanto} et al., Chaos 25, No. 2, 023112, 11 p. (2015; Zbl 1345.35016) Full Text: DOI arXiv
Zhong, Wei-Ping; Belić, Milivoj; Malomed, Boris A.; Huang, Tingwen Breather management in the derivative nonlinear Schrödinger equation with variable coefficients. (English) Zbl 1343.35221 Ann. Phys. 355, 313-321 (2015). MSC: 35Q55 35Q60 35C05 35A22 PDFBibTeX XMLCite \textit{W.-P. Zhong} et al., Ann. Phys. 355, 313--321 (2015; Zbl 1343.35221) Full Text: DOI
Fujioka, J.; Espinosa, A.; Rodríguez, R. F.; Malomed, B. A. Radiating subdispersive fractional optical solitons. (English) Zbl 1374.35375 Chaos 24, No. 3, 033121, 11 p. (2014). MSC: 35Q55 35R11 35C08 PDFBibTeX XMLCite \textit{J. Fujioka} et al., Chaos 24, No. 3, 033121, 11 p. (2014; Zbl 1374.35375) Full Text: DOI
Zegadlo, Krzysztof B.; Wasak, Tomasz; Malomed, Boris A.; Karpierz, Miroslaw A.; Trippenbach, Marek Stabilization of solitons under competing nonlinearities by external potentials. (English) Zbl 1361.35170 Chaos 24, No. 4, 043136, 10 p. (2014). MSC: 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{K. B. Zegadlo} et al., Chaos 24, No. 4, 043136, 10 p. (2014; Zbl 1361.35170) Full Text: DOI arXiv
Li, Yongyao; Pang, Wei; Malomed, Boris A. Wave modes trapped in rotating nonlinear potentials. (English) Zbl 1327.78020 Carretero-González, Ricardo (ed.) et al., Localized excitations in nonlinear complex systems. Current state of the art and future perspectives. Contributions of the 2nd conference, LENCOS’12, Sevilla, Spain, July 9–12, 2012. Cham: Springer (ISBN 978-3-319-02056-3/hbk; 978-3-319-02057-0/ebook). Nonlinear Systems and Complexity 7, 171-192 (2014). MSC: 78A60 81V80 35Q55 PDFBibTeX XMLCite \textit{Y. Li} et al., Nonlinear Syst. Complex. 7, 171--192 (2014; Zbl 1327.78020) Full Text: DOI arXiv
Aseeva, N. V.; Gromov, E. M.; Malomed, B. A.; Tyutin, V. V. Soliton dynamics in an extended nonlinear Schrödinger equation with inhomogeneous dispersion and self-phase modulation. (English) Zbl 1321.35187 Commun. Math. Anal. 17, No. 2, 1-13 (2014). MSC: 35Q51 35Q55 PDFBibTeX XMLCite \textit{N. V. Aseeva} et al., Commun. Math. Anal. 17, No. 2, 1--13 (2014; Zbl 1321.35187) Full Text: Euclid
D’Ambroise, J.; Lepri, S.; Malomed, B. A.; Kevrekidis, P. G. \(\mathcal{PT}\)-symmetric ladders with a scattering core. (English) Zbl 1298.35192 Phys. Lett., A 378, No. 38-39, 2824-2830 (2014). MSC: 35Q55 35B35 81Q05 PDFBibTeX XMLCite \textit{J. D'Ambroise} et al., Phys. Lett., A 378, No. 38--39, 2824--2830 (2014; Zbl 1298.35192) Full Text: DOI arXiv
Li, Kai; Kevrekidis, P. G.; Malomed, Boris A.; Günther, Uwe Nonlinear \(\mathcal{PT}\)-symmetric plaquettes. (English) Zbl 1263.81169 J. Phys. A, Math. Theor. 45, No. 44, Article ID 444021, 23 p. (2012). MSC: 81Q05 81Q12 81Q10 35Q55 81R05 PDFBibTeX XMLCite \textit{K. Li} et al., J. Phys. A, Math. Theor. 45, No. 44, Article ID 444021, 23 p. (2012; Zbl 1263.81169) Full Text: DOI arXiv
Rogers, Colin; Malomed, Boris; An, Hongli Ermakov-Ray-Reid reductions of variational approximations in nonlinear optics. (English) Zbl 1280.35142 Stud. Appl. Math. 129, No. 4, 389-413 (2012). MSC: 35Q55 78A60 35A15 82B10 PDFBibTeX XMLCite \textit{C. Rogers} et al., Stud. Appl. Math. 129, No. 4, 389--413 (2012; Zbl 1280.35142) Full Text: DOI
Acus, Arturas; Malomed, Boris A.; Shnir, Yakov Spontaneous symmetry breaking of binary fields in a nonlinear double-well structure. (English) Zbl 1251.81054 Physica D 241, No. 11, 987-1002 (2012). MSC: 81R40 35Q55 82C26 PDFBibTeX XMLCite \textit{A. Acus} et al., Physica D 241, No. 11, 987--1002 (2012; Zbl 1251.81054) Full Text: DOI arXiv
Caplan, R. M.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, B. A. Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1302.78022 Math. Comput. Simul. 82, No. 7, 1150-1171 (2012). MSC: 78A60 35Q55 35B35 35Q51 78A45 78M20 78M30 PDFBibTeX XMLCite \textit{R. M. Caplan} et al., Math. Comput. Simul. 82, No. 7, 1150--1171 (2012; Zbl 1302.78022) Full Text: DOI arXiv
Chen, Peter Y. P.; Malomed, Boris A. Lanczos-Chebyshev pseudospectral methods for wave-propagation problems. (English) Zbl 1246.65184 Math. Comput. Simul. 82, No. 6, 1056-1068 (2012). MSC: 65M70 35Q55 65Y20 35Q51 PDFBibTeX XMLCite \textit{P. Y. P. Chen} and \textit{B. A. Malomed}, Math. Comput. Simul. 82, No. 6, 1056--1068 (2012; Zbl 1246.65184) Full Text: DOI
Rogers, Colin; Malomed, Boris; Chow, K. W. Invariants in a resonant derivative nonlinear Schrödinger model. (English) Zbl 1238.81107 J. Phys. A, Math. Theor. 45, No. 15, Article ID 155205, 7 p. (2012). MSC: 81Q05 37K10 35Q55 81Q65 PDFBibTeX XMLCite \textit{C. Rogers} et al., J. Phys. A, Math. Theor. 45, No. 15, Article ID 155205, 7 p. (2012; Zbl 1238.81107) Full Text: DOI
Syafwan, M.; Susanto, H.; Cox, S. M.; Malomed, B. A. Variational approximations for traveling solitons in a discrete nonlinear Schrödinger equation. (English) Zbl 1234.35255 J. Phys. A, Math. Theor. 45, No. 7, Article ID 075207, 18 p. (2012). MSC: 35Q55 35C08 35B35 65M22 PDFBibTeX XMLCite \textit{M. Syafwan} et al., J. Phys. A, Math. Theor. 45, No. 7, Article ID 075207, 18 p. (2012; Zbl 1234.35255) Full Text: DOI arXiv
Fujioka, J.; Cortés, E.; Pérez-Pascual, R.; Rodríguez, R. F.; Espinosa, A.; Malomed, B. A. Chaotic solitons in the quadratic-cubic nonlinear Schrödinger equation under nonlinearity management. (English) Zbl 1317.35232 Chaos 21, No. 3, 033120, 12 p. (2011). MSC: 35Q55 35C08 34D45 PDFBibTeX XMLCite \textit{J. Fujioka} et al., Chaos 21, No. 3, 033120, 12 p. (2011; Zbl 1317.35232) Full Text: DOI
Stojanović, M.; Maluckov, A.; Hadžievski, Lj.; Malomed, B. A. Surface solitons in trilete lattices. (English) Zbl 1235.78033 Physica D 240, No. 18, 1489-1496 (2011). Reviewer: Shoukry S. Hassan (Bahrain) MSC: 78A60 35Q55 35Q51 78A50 PDFBibTeX XMLCite \textit{M. Stojanović} et al., Physica D 240, No. 18, 1489--1496 (2011; Zbl 1235.78033) Full Text: DOI arXiv
Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G. Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings. (English) Zbl 1218.35222 Physica D 240, No. 14-15, 1205-1212 (2011). MSC: 35Q55 81Q05 37K05 PDFBibTeX XMLCite \textit{C. Chong} et al., Physica D 240, No. 14--15, 1205--1212 (2011; Zbl 1218.35222) Full Text: DOI arXiv
Susanto, H.; Kevrekidis, P. G.; Abdullaev, F. Kh.; Malomed, Boris A. Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices. (English) Zbl 1218.35227 J. Comput. Appl. Math. 235, No. 13, 3883-3888 (2011). MSC: 35Q55 39A12 35C08 81V80 35B35 PDFBibTeX XMLCite \textit{H. Susanto} et al., J. Comput. Appl. Math. 235, No. 13, 3883--3888 (2011; Zbl 1218.35227) Full Text: DOI arXiv
Wang, C.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A. Effects of long-range nonlinear interactions in double-well potentials. (English) Zbl 1338.37129 Physica D 240, No. 9-10, 805-813 (2011). MSC: 37N20 37K50 78A60 35Q55 82B10 37M05 PDFBibTeX XMLCite \textit{C. Wang} et al., Physica D 240, No. 9--10, 805--813 (2011; Zbl 1338.37129) Full Text: DOI arXiv
Wang, C.; Theocharis, G.; Kevrekidis, P. G.; Whitaker, N.; Frantzeskakis, D. J.; Malomed, B. A. Nonlinear Schrödinger equations with a four-well potential in two dimensions: bifurcations and stability analysis. (English) Zbl 1225.37084 Tenreiro Machado, J. A. (ed.) et al., Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity, NSC ’08, Porto, Portugal, July 28–31, 2008. Berlin: Springer (ISBN 978-90-481-9883-2/hbk; 978-90-481-9884-9/ebook). 173-179 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K50 35Q55 37K45 PDFBibTeX XMLCite \textit{C. Wang} et al., in: Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity, NSC '08, Porto, Portugal, July 28--31, 2008. Berlin: Springer. 173--179 (2011; Zbl 1225.37084) Full Text: DOI
Tsang, Cheng Hou; Malomed, Boris A.; Chow, Kwok Wing Exact solutions for periodic and solitary matter waves in nonlinear lattices. (English) Zbl 1210.35239 Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1299-1325 (2011). MSC: 35Q55 81Q05 78A60 PDFBibTeX XMLCite \textit{C. H. Tsang} et al., Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1299--1325 (2011; Zbl 1210.35239) Full Text: DOI arXiv
Dror, Nir; Malomed, Boris A. Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity. (English) Zbl 1220.37066 Physica D 240, No. 6, 526-541 (2011). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K40 37K45 35Q55 PDFBibTeX XMLCite \textit{N. Dror} and \textit{B. A. Malomed}, Physica D 240, No. 6, 526--541 (2011; Zbl 1220.37066) Full Text: DOI arXiv
Maluckov, A.; Hadžievski, L.; Malomed, B. A. Fundamental solitons in discrete lattices with a delayed nonlinear response. (English) Zbl 1311.35295 Chaos 20, No. 4, 043113, 6 p. (2010). MSC: 35Q55 35C08 39A12 35B35 PDFBibTeX XMLCite \textit{A. Maluckov} et al., Chaos 20, No. 4, 043113, 6 p. (2010; Zbl 1311.35295) Full Text: DOI arXiv
Malomed, Boris A.; Stepanyants, Yury A. The inverse problem for the Gross-Pitaevskii equation. (English) Zbl 1311.35294 Chaos 20, No. 1, 013130, 14 p. (2010). MSC: 35Q55 35R30 35C05 35C08 PDFBibTeX XMLCite \textit{B. A. Malomed} and \textit{Y. A. Stepanyants}, Chaos 20, No. 1, 013130, 14 p. (2010; Zbl 1311.35294) Full Text: DOI arXiv
Rogers, Colin; Malomed, Boris; Chow, Kwok; An, Hongli Ermakov-Ray-Reid systems in nonlinear optics. (English) Zbl 1207.78034 J. Phys. A, Math. Theor. 43, No. 45, Article ID 455214, 15 p. (2010). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A60 35Q55 35Q60 PDFBibTeX XMLCite \textit{C. Rogers} et al., J. Phys. A, Math. Theor. 43, No. 45, Article ID 455214, 15 p. (2010; Zbl 1207.78034) Full Text: DOI
Kengne, E.; Vaillancourt, R.; Malomed, B. A. Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1D condensates trapped in a double-well potential. (English) Zbl 1195.82007 Int. J. Mod. Phys. B 24, No. 14, 2211-2227 (2010). MSC: 82B10 35Q55 35Q51 37K40 82C22 PDFBibTeX XMLCite \textit{E. Kengne} et al., Int. J. Mod. Phys. B 24, No. 14, 2211--2227 (2010; Zbl 1195.82007) Full Text: DOI
Yanay, Hilla; Khaykovich, Lev; Malomed, Boris A. Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation. (English) Zbl 1317.35245 Chaos 19, No. 3, 033145, 7 p. (2009). MSC: 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{H. Yanay} et al., Chaos 19, No. 3, 033145, 7 p. (2009; Zbl 1317.35245) Full Text: DOI arXiv
Chen, Qian-Yong; Kevrekidis, P. G.; Malomed, Boris A. Nonlinear Schrödinger equations under random nonlinearity management. (English) Zbl 1228.35221 Phys. Lett., A 373, No. 15, 1361-1367 (2009). MSC: 35Q55 35Q41 35C08 35R60 PDFBibTeX XMLCite \textit{Q.-Y. Chen} et al., Phys. Lett., A 373, No. 15, 1361--1367 (2009; Zbl 1228.35221) Full Text: DOI
Yan, Zhenya; Chow, K. W.; Malomed, Boris A. Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 1198.35263 Chaos Solitons Fractals 42, No. 5, 3013-3019 (2009). MSC: 35Q55 35C08 35P25 PDFBibTeX XMLCite \textit{Z. Yan} et al., Chaos Solitons Fractals 42, No. 5, 3013--3019 (2009; Zbl 1198.35263) Full Text: DOI
Cuevas, Jesús; Malomed, Boris A. Discrete nonlinear Schrödinger equations with time-dependent coefficients (Management of lattice solitons). (English) Zbl 1230.37083 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 277-291 (2009). MSC: 37K10 35Q55 37K60 82C20 PDFBibTeX XMLCite \textit{J. Cuevas} and \textit{B. A. Malomed}, Springer Tracts Mod. Phys. 232, 277--291 (2009; Zbl 1230.37083) Full Text: DOI
He, Ying-Ji; Malomed, Boris A. Surface waves and boundary effects in DNLS equations. (English) Zbl 1181.39007 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 259-275 (2009). MSC: 39A12 35Q55 78A50 37K10 PDFBibTeX XMLCite \textit{Y.-J. He} and \textit{B. A. Malomed}, Springer Tracts Mod. Phys. 232, 259--275 (2009; Zbl 1181.39007) Full Text: DOI
Mayteevarunyoo, Thawatchai; Malomed, Boris A.; Baizakov, Bakhtiyor B.; Salerno, Mario Matter-wave vortices and solitons in anisotropic optical lattices. (English) Zbl 1167.82329 Physica D 238, No. 15, 1439-1448 (2009). MSC: 82C10 78A60 35Q55 35Q51 82D25 PDFBibTeX XMLCite \textit{T. Mayteevarunyoo} et al., Physica D 238, No. 15, 1439--1448 (2009; Zbl 1167.82329) Full Text: DOI
Cetoli, A.; Salasnich, L.; Malomed, B. A.; Toigo, F. Dynamics of kicked matter-wave solitons in an optical lattice. (English) Zbl 1167.82320 Physica D 238, No. 15, 1388-1393 (2009). MSC: 82C10 35Q55 35Q51 82C20 82C22 PDFBibTeX XMLCite \textit{A. Cetoli} et al., Physica D 238, No. 15, 1388--1393 (2009; Zbl 1167.82320) Full Text: DOI arXiv
Pérez-García, Víctor M.; Berloff, Natalia G.; Kevrekidis, Panayotis G.; Konotop, Vladimir V.; Malomed, Boris A. Nonlinear phenomena in degenerate quantum gases. (English) Zbl 1167.82332 Physica D 238, No. 15, 1289-1298 (2009). MSC: 82C10 81V45 35Q55 35Q51 82C26 PDFBibTeX XMLCite \textit{V. M. Pérez-García} et al., Physica D 238, No. 15, 1289--1298 (2009; Zbl 1167.82332) Full Text: DOI
Wainblat, George; Malomed, Boris A. Interactions between two-dimensional solitons in the diffractive-diffusive Ginzburg-Landau equation with the cubic-quintic nonlinearity. (English) Zbl 1167.37362 Physica D 238, No. 14, 1143-1151 (2009). MSC: 37K40 35Q51 35Q55 78A60 PDFBibTeX XMLCite \textit{G. Wainblat} and \textit{B. A. Malomed}, Physica D 238, No. 14, 1143--1151 (2009; Zbl 1167.37362) Full Text: DOI arXiv
Kengne, E.; Vaillancour, R.; Malomed, B. A. Coupled nonlinear Schrödinger equations for solitary-wave and kink signals propagating in discrete nonlinear dispersive transmission lines. (English) Zbl 1165.35462 Int. J. Mod. Phys. B 23, No. 2, 133-147 (2009). MSC: 35Q55 35Q51 78A50 PDFBibTeX XMLCite \textit{E. Kengne} et al., Int. J. Mod. Phys. B 23, No. 2, 133--147 (2009; Zbl 1165.35462) Full Text: DOI
Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G. Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrödinger lattices. (English) Zbl 1155.37324 Physica D 238, No. 2, 126-136 (2009). MSC: 37K40 35Q55 35Q51 PDFBibTeX XMLCite \textit{C. Chong} et al., Physica D 238, No. 2, 126--136 (2009; Zbl 1155.37324) Full Text: DOI arXiv
Cuevas, J.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A. Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity. (English) Zbl 1153.82321 Physica D 238, No. 1, 67-76 (2009). MSC: 82C20 35Q55 35Q51 78A60 78A40 PDFBibTeX XMLCite \textit{J. Cuevas} et al., Physica D 238, No. 1, 67--76 (2009; Zbl 1153.82321) Full Text: DOI Link
Susanto, H.; Kevrekidis, P. G.; Malomed, B. A.; Abdullaev, F. Kh. Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions. (English) Zbl 1217.81071 Phys. Lett., A 372, No. 10, 1631-1638 (2008). MSC: 81Q05 35Q55 81S05 82B27 82C22 PDFBibTeX XMLCite \textit{H. Susanto} et al., Phys. Lett., A 372, No. 10, 1631--1638 (2008; Zbl 1217.81071) Full Text: DOI
Maluckov, Aleksandra; Stepić, Milutin; Gligorić, Goran; Hadžievski, Ljupčo; Malomed, Boris On moving discrete modes in nonlinear lattices. (English) Zbl 1167.82346 Robnik, Marko (ed.) et al., Let’s face chaos through nonlinear dynamics. Proceedings of the 7th international summer school and conference, Maribor, Slovenia, June 29–July 13, 2008. Dedicated to the 65th birthday of Prof. Giulio Casati. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0607-0/pbk). AIP Conference Proceedings 1076, 142-148 (2008). MSC: 82C20 82C10 35Q55 PDFBibTeX XMLCite \textit{A. Maluckov} et al., AIP Conf. Proc. 1076, 142--148 (2008; Zbl 1167.82346)
Wang, C.; Kevrekidis, P. G.; Whitaker, N.; Malomed, B. A. Two-component nonlinear Schrödinger models with a double-well potential. (English) Zbl 1153.82304 Physica D 237, No. 22, 2922-2932 (2008). MSC: 82B10 35Q55 PDFBibTeX XMLCite \textit{C. Wang} et al., Physica D 237, No. 22, 2922--2932 (2008; Zbl 1153.82304) Full Text: DOI arXiv
Kengne, E.; Liu, X. X.; Malomed, B. A.; Chui, S. T.; Liu, Wu-Ming Explicit solutions to an effective Gross-Pitaevskii equation: one-dimensional Bose-Einstein condensate in specific traps. (English) Zbl 1153.81385 J. Math. Phys. 49, No. 2, 023503, 19 p. (2008). MSC: 35Q55 82C10 PDFBibTeX XMLCite \textit{E. Kengne} et al., J. Math. Phys. 49, No. 2, 023503, 19 p. (2008; Zbl 1153.81385) Full Text: DOI
Malomed, B. Multi-component Bose-Einstein condensates: theory. (English) Zbl 1151.82369 Kevrekidis, Panayotis G. (ed.) et al., Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment. Berlin: Springer (ISBN 978-3-540-73590-8/hbk). Springer Series on Atomic, Optical, and Plasma Physics 45, 287-305 (2008). MSC: 82C10 82C26 35Q51 35Q55 PDFBibTeX XMLCite \textit{B. Malomed}, Springer Ser. At. Opt. Plasma Phys. 45, 287--305 (2008; Zbl 1151.82369)
Kengne, E.; Malomed, Boris A.; Chui, S. T.; Liu, W. M. Solitary signals in electrical nonlinear transmission line. (English) Zbl 1121.94029 J. Math. Phys. 48, No. 1, 013508, 6 p. (2007). MSC: 94C05 35Q51 35Q55 PDFBibTeX XMLCite \textit{E. Kengne} et al., J. Math. Phys. 48, No. 1, 013508, 6 p. (2007; Zbl 1121.94029) Full Text: DOI
Albuch, Lior; Malomed, Boris A. Transitions between symmetric and asymmetric solitons in dual-core systems with cubic–quintic nonlinearity. (English) Zbl 1111.35070 Math. Comput. Simul. 74, No. 4-5, 312-322 (2007). MSC: 35Q55 37K50 37K45 PDFBibTeX XMLCite \textit{L. Albuch} and \textit{B. A. Malomed}, Math. Comput. Simul. 74, No. 4--5, 312--322 (2007; Zbl 1111.35070) Full Text: DOI arXiv
Malomed, Boris A. Soliton management in periodic systems. (English) Zbl 1214.35056 New York, NY: Springer (ISBN 978-0-387-25635-1/hbk; 978-0-387-29334-9/ebook). xii, 180 p. (2006). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q51 35Q55 37K40 81Q05 78A60 81V80 35-02 81-02 PDFBibTeX XMLCite \textit{B. A. Malomed}, Soliton management in periodic systems. New York, NY: Springer (2006; Zbl 1214.35056) Full Text: DOI Link
De Nicola, S.; Fedele, R.; Jovanovic, D.; Malomed, B.; Man’ko, M. A.; Man’ko, V. I.; Shukla, P. K. 1D stability analysis of filtering and controlling the solitons in Bose-Einstein condensates. (English) Zbl 1189.35268 Eur. Phys. J. B, Condens. Matter Complex Syst. 54, No. 1, 113-119 (2006). MSC: 35Q51 35Q55 PDFBibTeX XMLCite \textit{S. De Nicola} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 54, No. 1, 113--119 (2006; Zbl 1189.35268) Full Text: DOI
Chow, K. W.; Malomed, Boris A.; Nakkeeran, K. Exact solitary- and periodic-wave modes in coupled equations with saturable nonlinearity. (English) Zbl 1236.81081 Phys. Lett., A 359, No. 1, 37-41 (2006). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{K. W. Chow} et al., Phys. Lett., A 359, No. 1, 37--41 (2006; Zbl 1236.81081) Full Text: DOI
Carretero-González, R.; Talley, J. D.; Chong, C.; Malomed, B. A. Multistable solitons in the cubic-quintic discrete nonlinear Schrödinger equation. (English) Zbl 1101.37049 Physica D 216, No. 1, 77-89 (2006). MSC: 37K40 35Q51 34B45 35Q55 37K60 PDFBibTeX XMLCite \textit{R. Carretero-González} et al., Physica D 216, No. 1, 77--89 (2006; Zbl 1101.37049) Full Text: DOI arXiv
Gubeskys, Arthur; Malomed, Boris A.; Merhasin, Ilya M. Alternate solitons: Nonlinearly managed one- and two-dimensional solitons in optical lattices. (English) Zbl 1145.82329 Stud. Appl. Math. 115, No. 2, 255-277 (2005); erratum ibid. 115, No. 3, 355 (2005). MSC: 82C10 35Q51 35Q55 37K40 78A60 PDFBibTeX XMLCite \textit{A. Gubeskys} et al., Stud. Appl. Math. 115, No. 2, 255--277 (2005; Zbl 1145.82329) Full Text: DOI arXiv
Sigler, Ariel; Malomed, Boris A. Solitary pulses in linearly coupled cubic-quintic Ginzburg-Landau equations. (English) Zbl 1085.78006 Physica D 212, No. 3-4, 305-316 (2005). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 78A60 35Q55 35K55 PDFBibTeX XMLCite \textit{A. Sigler} and \textit{B. A. Malomed}, Physica D 212, No. 3--4, 305--316 (2005; Zbl 1085.78006) Full Text: DOI
Rapti, Z.; Trombettoni, A.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, Boris A.; Bishop, A. R. Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations. (English) Zbl 1209.35132 Phys. Lett., A 330, No. 1-2, 95-106 (2004). MSC: 35Q55 37N20 81V80 PDFBibTeX XMLCite \textit{Z. Rapti} et al., Phys. Lett., A 330, No. 1--2, 95--106 (2004; Zbl 1209.35132) Full Text: DOI arXiv
Abdullaev, F. Kh.; Tsoy, E. N.; Malomed, B. A.; Kraenkel, R. A. Dynamics of discrete solitons in media with varying nonlinearity. (English) Zbl 1101.35373 Abdullaev, Fatkhulla Kh. (ed.) et al., Nonlinear waves: Classical and quantum aspects. Proceedings of the NATO advanced research workshop, Estoril, Portugal, July 13-17, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2189-5/pbk; 1-4020-2188-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 153, 529-534 (2004). MSC: 35Q55 37K60 81V80 PDFBibTeX XMLCite \textit{F. Kh. Abdullaev} et al., NATO Sci. Ser. II, Math. Phys. Chem. 153, 529--534 (2004; Zbl 1101.35373)
Baizakov, B. B.; Salerno, M.; Malomed, B. A. Multidimensional solitons and vortices in periodic potentials. (English) Zbl 1101.35377 Abdullaev, Fatkhulla Kh. (ed.) et al., Nonlinear waves: Classical and quantum aspects. Proceedings of the NATO advanced research workshop, Estoril, Portugal, July 13-17, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2189-5/pbk; 1-4020-2188-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 153, 61-80 (2004). MSC: 35Q55 81V80 PDFBibTeX XMLCite \textit{B. B. Baizakov} et al., NATO Sci. Ser. II, Math. Phys. Chem. 153, 61--80 (2004; Zbl 1101.35377)
González-Pérez-Sandi, S.; Fujioka, J.; Malomed, B. A. Embedded solitons in dynamical lattices. (English) Zbl 1061.35131 Physica D 197, No. 1-2, 86-100 (2004). MSC: 35Q55 37K60 37K40 35R10 PDFBibTeX XMLCite \textit{S. González-Pérez-Sandi} et al., Physica D 197, No. 1--2, 86--100 (2004; Zbl 1061.35131) Full Text: DOI
Shchesnovich, Valery S.; Malomed, Boris A.; Kraenkel, Roberto A. Solitons in Bose-Einstein condensates trapped in a double-well potential. (English) Zbl 1047.81514 Physica D 188, No. 3-4, 213-240 (2004). MSC: 81Q05 82B10 81V70 35Q55 PDFBibTeX XMLCite \textit{V. S. Shchesnovich} et al., Physica D 188, No. 3--4, 213--240 (2004; Zbl 1047.81514) Full Text: DOI arXiv
Sakaguchi, Hidetsugu; Malomed, Boris Solitary pulses and periodic waves in the parametrically driven complex Ginzburg-Landau equation. (English) Zbl 1081.35107 J. Phys. Soc. Japan 72, No. 6, 1360-1365 (2003). MSC: 35Q55 37K40 PDFBibTeX XMLCite \textit{H. Sakaguchi} and \textit{B. Malomed}, J. Phys. Soc. Japan 72, No. 6, 1360--1365 (2003; Zbl 1081.35107) Full Text: DOI arXiv
Sakaguchi, Hidetsugu; Malomed, Boris A. Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities. (English) Zbl 1038.35127 Physica D 183, No. 3-4, 282-292 (2003). MSC: 35Q55 35Q51 82B10 78A60 PDFBibTeX XMLCite \textit{H. Sakaguchi} and \textit{B. A. Malomed}, Physica D 183, No. 3--4, 282--292 (2003; Zbl 1038.35127) Full Text: DOI arXiv
García-Ripoll, Juan J.; Konotop, Vladimir V.; Malomed, Boris; Pérez-García, Víctor M. A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates. (English) Zbl 1034.35126 Math. Comput. Simul. 62, No. 1-2, 21-30 (2003). MSC: 35Q55 82B10 PDFBibTeX XMLCite \textit{J. J. García-Ripoll} et al., Math. Comput. Simul. 62, No. 1--2, 21--30 (2003; Zbl 1034.35126) Full Text: DOI
Kevrekidis, Panayotis G.; Malomed, Boris A.; Nistazakis, H. E.; Frantzeskakis, Dimitri J.; Saxena, A.; Bishop, A. R. Scattering of a solitary pulse on a local defect or breather. (English) Zbl 1115.81335 Phys. Scr. 66, No. 3, 193-200 (2002). MSC: 81Q05 81U05 35Q55 78A60 PDFBibTeX XMLCite \textit{P. G. Kevrekidis} et al., Phys. Scr. 66, No. 3, 193--200 (2002; Zbl 1115.81335) Full Text: DOI arXiv
Papacharalampous, I. E.; Nistazakis, H. E.; Kevrekidis, P. G.; Yannacopoulos, A. N.; Frantzeskakis, D. J.; Malomed, B. A. Two-dimensional solitons and their interactions on a continuous-wave background. (English) Zbl 1061.81517 Phys. Scr. 66, No. 5, 367-375 (2002). MSC: 81Q05 35Q55 35Q51 PDFBibTeX XMLCite \textit{I. E. Papacharalampous} et al., Phys. Scr. 66, No. 5, 367--375 (2002; Zbl 1061.81517) Full Text: DOI
Grimshaw, Roger; Gottwald, Georg A.; Malomed, Boris A. Cuspons and peakons vis-a-vis regular solitons and collapse in a three-wave system. (English) Zbl 1017.35095 Bona, Jerry (ed.) et al., The legacy of the inverse scattering transform in applied mathematics. Proceedings of an AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 17-21, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 301, 249-271 (2002). MSC: 35Q51 35Q55 37K40 37K45 PDFBibTeX XMLCite \textit{R. Grimshaw} et al., Contemp. Math. 301, 249--271 (2002; Zbl 1017.35095)
Malomed, B. A.; Crasovan, L.-C.; Mihalache, D. Stability of vortex solitons in the cubic-quintic model. (English) Zbl 0987.35150 Physica D 161, No. 3-4, 187-201 (2002). MSC: 35Q55 37K45 PDFBibTeX XMLCite \textit{B. A. Malomed} et al., Physica D 161, No. 3--4, 187--201 (2002; Zbl 0987.35150) Full Text: DOI