Araki, Hirotaka; Hikihara, Takashi Shift manipulation of intrinsic localized mode in ac driven Klein Gordon lattice. (English) Zbl 07802154 Phys. Lett., A 493, Article ID 129270, 8 p. (2024). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{H. Araki} and \textit{T. Hikihara}, Phys. Lett., A 493, Article ID 129270, 8 p. (2024; Zbl 07802154) Full Text: DOI arXiv
Fan, Fang-Cheng; Xu, Zhi-Guo Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation. (English) Zbl 1524.35526 Wave Motion 119, Article ID 103139, 9 p. (2023). MSC: 35Q53 37K10 35Q55 35Q51 PDFBibTeX XMLCite \textit{F.-C. Fan} and \textit{Z.-G. Xu}, Wave Motion 119, Article ID 103139, 9 p. (2023; Zbl 1524.35526) Full Text: DOI
Xie, Wei-Kang; Fan, Fang-Cheng Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation. (English) Zbl 1518.39008 J. Math. Anal. Appl. 525, No. 2, Article ID 127251, 18 p. (2023). MSC: 39A36 39A14 39A12 35Q53 37K35 37K60 35C08 PDFBibTeX XMLCite \textit{W.-K. Xie} and \textit{F.-C. Fan}, J. Math. Anal. Appl. 525, No. 2, Article ID 127251, 18 p. (2023; Zbl 1518.39008) Full Text: DOI
Bostrem, I. G.; Ovchinnikov, A. S.; Ekomasov, E. G.; Sinitsyn, Vl. E.; Fedorov, A. E.; Voronina, A. A. Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes. (English. Russian original) Zbl 07660516 Theor. Math. Phys. 214, No. 2, 250-264 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 291-307 (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{I. G. Bostrem} et al., Theor. Math. Phys. 214, No. 2, 250--264 (2023; Zbl 07660516); translation from Teor. Mat. Fiz. 214, No. 2, 291--307 (2023) Full Text: DOI
Ohta, Yasuhiro; Feng, Bao-Feng General rogue wave solution to the discrete nonlinear Schrödinger equation. (English) Zbl 1497.35439 Physica D 439, Article ID 133400, 11 p. (2022). MSC: 35Q55 37K40 37K10 37K60 39A12 PDFBibTeX XMLCite \textit{Y. Ohta} and \textit{B.-F. Feng}, Physica D 439, Article ID 133400, 11 p. (2022; Zbl 1497.35439) Full Text: DOI arXiv
Upadhyaya, A.; Semenova, M. N.; Kudreyko, A. A.; Dmitriev, S. V. Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice. (English) Zbl 1491.82020 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106541, 11 p. (2022). MSC: 82D25 82C20 82M37 37K60 37K40 PDFBibTeX XMLCite \textit{A. Upadhyaya} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106541, 11 p. (2022; Zbl 1491.82020) Full Text: DOI
Ma, Li-Yuan; Zhang, Yan-Li; Zhao, Hai-Qiong; Zhu, Zuo-Nong Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 1509.35283 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022). MSC: 35Q55 35Q40 35Q51 35C08 37K10 37K35 37J70 39A36 82D40 PDFBibTeX XMLCite \textit{L.-Y. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022; Zbl 1509.35283) Full Text: DOI
Yoshimura, Kazuyuki; Doi, Yusuke Existence of odd, even, and multi-pulse discrete breathers in infinite Fermi-Pasta-Ulam lattices. (English) Zbl 1477.37085 J. Differ. Equations 298, 560-608 (2021). MSC: 37K60 37L60 70H12 70K75 PDFBibTeX XMLCite \textit{K. Yoshimura} and \textit{Y. Doi}, J. Differ. Equations 298, 560--608 (2021; Zbl 1477.37085) Full Text: DOI
Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V. Effect of discrete breathers on the specific heat of a nonlinear chain. (English) Zbl 1467.37070 J. Nonlinear Sci. 31, No. 1, Paper No. 12, 27 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 37K60 65P10 65P40 PDFBibTeX XMLCite \textit{M. Singh} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 12, 27 p. (2021; Zbl 1467.37070) Full Text: DOI arXiv
Muda, Yuslenita; Akbar, Fiki T.; Kusdiantara, Rudy; Gunara, Bobby E.; Susanto, Hadi Reduction of a damped, driven Klein-Gordon equation into a discrete nonlinear Schrödinger equation: justification and numerical comparison. (English) Zbl 1460.35330 Asymptotic Anal. 120, No. 1-2, 73-86 (2020). MSC: 35Q55 35Q51 35Q53 35C08 35A01 65L06 PDFBibTeX XMLCite \textit{Y. Muda} et al., Asymptotic Anal. 120, No. 1--2, 73--86 (2020; Zbl 1460.35330) Full Text: DOI arXiv
Doi, Yusuke; Yoshimura, Kazuyuki Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather. (English) Zbl 1451.82033 Nonlinearity 33, No. 10, 5142-5175 (2020). MSC: 82C20 82C22 37K40 PDFBibTeX XMLCite \textit{Y. Doi} and \textit{K. Yoshimura}, Nonlinearity 33, No. 10, 5142--5175 (2020; Zbl 1451.82033) Full Text: DOI arXiv Link
Yu, Fajun; Yu, Jiaming; Li, Li Some discrete soliton solutions and interactions for the coupled Ablowitz-Ladik equations with branched dispersion. (English) Zbl 1524.78053 Wave Motion 94, Article ID 102500, 11 p. (2020). MSC: 78A50 78M99 PDFBibTeX XMLCite \textit{F. Yu} et al., Wave Motion 94, Article ID 102500, 11 p. (2020; Zbl 1524.78053) Full Text: DOI
Mojahed, Alireza; Vakakis, Alexander F. Certain aspects of the acoustics of a strongly nonlinear discrete lattice. (English) Zbl 1430.37093 Nonlinear Dyn. 99, No. 1, 643-659 (2020). MSC: 37K60 39A14 76Q05 PDFBibTeX XMLCite \textit{A. Mojahed} and \textit{A. F. Vakakis}, Nonlinear Dyn. 99, No. 1, 643--659 (2020; Zbl 1430.37093) Full Text: DOI
Muda, Y.; Akbar, F. T.; Kusdiantara, R.; Gunara, B. E.; Susanto, H. Justification of the discrete nonlinear Schrödinger equation from a parametrically driven damped nonlinear Klein-Gordon equation and numerical comparisons. (English) Zbl 1472.81083 Phys. Lett., A 383, No. 12, 1274-1282 (2019). MSC: 81Q05 35Q55 35P15 35A01 39A12 PDFBibTeX XMLCite \textit{Y. Muda} et al., Phys. Lett., A 383, No. 12, 1274--1282 (2019; Zbl 1472.81083) Full Text: DOI arXiv
Martínez-Galicia, Ricardo; Panayotaros, Panayotis Classical breathers and quantum coherent states in discrete NLS systems. (English) Zbl 1428.81027 Phys. Lett., A 383, No. 2-3, 164-169 (2019). MSC: 81P40 35Q55 PDFBibTeX XMLCite \textit{R. Martínez-Galicia} and \textit{P. Panayotaros}, Phys. Lett., A 383, No. 2--3, 164--169 (2019; Zbl 1428.81027) Full Text: DOI
Zhou, Tao; Liu, Xia; Shi, Haiping; Wen, Zongliang Existence of multiple breathers for discrete nonlinear Schrödinger equations. (English) Zbl 1408.39006 Electron. J. Differ. Equ. 2019, Paper No. 27, 12 p. (2019). MSC: 39A12 39A70 39A14 37K40 35Q55 PDFBibTeX XMLCite \textit{T. Zhou} et al., Electron. J. Differ. Equ. 2019, Paper No. 27, 12 p. (2019; Zbl 1408.39006) Full Text: Link
Ding, Jinmin; Wu, Tianle; Chang, Xia; Tang, Bing Modulational instability and discrete breathers in a nonlinear helicoidal lattice model. (English) Zbl 1510.35297 Commun. Nonlinear Sci. Numer. Simul. 59, 349-358 (2018). MSC: 35Q55 34A33 34L40 PDFBibTeX XMLCite \textit{J. Ding} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 349--358 (2018; Zbl 1510.35297) Full Text: DOI
Gninzanlong, Carlos Lawrence; Ndjomatchoua, Frank Thomas; Tchawoua, Clément Discrete breathers dynamic in a model for DNA chain with a finite stacking enthalpy. (English) Zbl 1390.92100 Chaos 28, No. 4, 043105, 11 p. (2018). MSC: 92D20 35Q55 PDFBibTeX XMLCite \textit{C. L. Gninzanlong} et al., Chaos 28, No. 4, 043105, 11 p. (2018; Zbl 1390.92100) Full Text: DOI
Zhao, Hai-qiong; Yuan, Jinyun; Zhu, Zuo-nong Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory. (English) Zbl 1383.37059 J. Nonlinear Sci. 28, No. 1, 43-68 (2018). MSC: 37K10 37K40 34K25 35Q55 37K35 34K31 PDFBibTeX XMLCite \textit{H.-q. Zhao} et al., J. Nonlinear Sci. 28, No. 1, 43--68 (2018; Zbl 1383.37059) Full Text: DOI
Ming, Yi; Ling, Dong-Bo; Li, Hui-Min; Ding, Ze-Jun Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes. (English) Zbl 1388.37076 Chaos 27, No. 6, 063106, 11 p. (2017). MSC: 37K40 37K60 PDFBibTeX XMLCite \textit{Y. Ming} et al., Chaos 27, No. 6, 063106, 11 p. (2017; Zbl 1388.37076) Full Text: DOI arXiv
Ben, Roberto I.; Borgna, Juan Pablo; Panayotaros, Panayotis Properties of some breather solutions of a nonlocal discrete NLS equation. (English) Zbl 1456.37081 Commun. Math. Sci. 15, No. 8, 2143-2175 (2017). MSC: 37K60 39A36 35Q55 47J10 47J30 78A60 PDFBibTeX XMLCite \textit{R. I. Ben} et al., Commun. Math. Sci. 15, No. 8, 2143--2175 (2017; Zbl 1456.37081) Full Text: DOI
Yoshimura, Kazuyuki Existence and stability of odd and even parity discrete breathers in Fermi-Pasta-Ulam lattices. (English) Zbl 1391.70053 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2063-2095 (2017). MSC: 70H12 70H14 34A33 34C25 74J30 PDFBibTeX XMLCite \textit{K. Yoshimura}, SIAM J. Appl. Dyn. Syst. 16, No. 4, 2063--2095 (2017; Zbl 1391.70053) Full Text: DOI
Anastassiou, Stavros; Bountis, Tassos; Bäcker, Arnd Homoclinic points of 2D and 4D maps via the parametrization method. (English) Zbl 1381.37036 Nonlinearity 30, No. 10, 3799-3820 (2017). Reviewer: Yuming Chen (Waterloo) MSC: 37D10 37J25 37J45 39A30 PDFBibTeX XMLCite \textit{S. Anastassiou} et al., Nonlinearity 30, No. 10, 3799--3820 (2017; Zbl 1381.37036) Full Text: DOI arXiv
Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna Breathers in a locally resonant granular chain with precompression. (English) Zbl 1364.74028 Physica D 331, 27-47 (2016). MSC: 74E20 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{L. Liu} et al., Physica D 331, 27--47 (2016; Zbl 1364.74028) Full Text: DOI arXiv
Stockhofe, J.; Schmelcher, P. Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping. (English) Zbl 1368.35252 Physica D 328-329, 9-20 (2016). MSC: 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{J. Stockhofe} and \textit{P. Schmelcher}, Physica D 328--329, 9--20 (2016; Zbl 1368.35252) Full Text: DOI arXiv
Popov, S. P. Nonautonomous soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation. (English. Russian original) Zbl 1364.35316 Comput. Math. Math. Phys. 56, No. 11, 1929-1937 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 11, 1960-1969 (2016). MSC: 35Q53 35Q51 65T50 65L06 PDFBibTeX XMLCite \textit{S. P. Popov}, Comput. Math. Math. Phys. 56, No. 11, 1929--1937 (2016; Zbl 1364.35316); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 11, 1960--1969 (2016) Full Text: DOI
Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna Strongly nonlinear waves in locally resonant granular chains. (English) Zbl 1352.37182 Nonlinearity 29, No. 11, 3496-3527 (2016). MSC: 37K60 70K75 70H07 70H12 70H14 34E13 PDFBibTeX XMLCite \textit{L. Liu} et al., Nonlinearity 29, No. 11, 3496--3527 (2016; Zbl 1352.37182) Full Text: DOI arXiv Link
Popov, S. P. Scattering of solitons by dislocations in the modified Korteweg de Vries-sine-Gordon equation. (English. Russian original) Zbl 1337.35128 Comput. Math. Math. Phys. 55, No. 12, 2014-2024 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2055-2066 (2015). MSC: 35Q53 35B32 35C08 65T50 65L06 PDFBibTeX XMLCite \textit{S. P. Popov}, Comput. Math. Math. Phys. 55, No. 12, 2014--2024 (2015; Zbl 1337.35128); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2055--2066 (2015) Full Text: DOI
Lakshmanan, M.; Subash, B.; Saxena, Avadh Intrinsic localized modes of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. (English) Zbl 1331.82068 Phys. Lett., A 378, No. 16-17, 1119-1125 (2014). MSC: 82D40 82D50 82C20 PDFBibTeX XMLCite \textit{M. Lakshmanan} et al., Phys. Lett., A 378, No. 16--17, 1119--1125 (2014; Zbl 1331.82068) Full Text: DOI arXiv
Bidégaray-Fesquet, Brigitte; Dumas, Eric; James, Guillaume From Newton’s cradle to the discrete \(p\)-Schrödinger equation. (English) Zbl 1292.34008 SIAM J. Math. Anal. 45, No. 6, 3404-3430 (2013). Reviewer: Li Changpin (Logan) MSC: 34A33 39A12 34E13 70F45 70K70 70K75 34C15 PDFBibTeX XMLCite \textit{B. Bidégaray-Fesquet} et al., SIAM J. Math. Anal. 45, No. 6, 3404--3430 (2013; Zbl 1292.34008) Full Text: DOI arXiv
James, Guillaume; Kevrekidis, Panayotis G.; Cuevas, Jesús Breathers in oscillator chains with Hertzian interactions. (English) Zbl 1278.37053 Physica D 251, 39-59 (2013). MSC: 37K60 35B05 81Q05 PDFBibTeX XMLCite \textit{G. James} et al., Physica D 251, 39--59 (2013; Zbl 1278.37053) Full Text: DOI arXiv
Cuevas, J.; Álvarez, A.; Romero, F. R.; Archilia, J. F. R. Collisions of discrete breathers in nonlinear Schrödinger and Klein-Gordon lattices. (English) Zbl 1215.35147 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). 159-164 (2011). MSC: 35Q55 35Q53 35Q51 35C08 PDFBibTeX XMLCite \textit{J. Cuevas} 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. 159--164 (2011; Zbl 1215.35147) Full Text: DOI
Yoshimura, Kazuyuki Existence and stability of discrete breathers in diatomic Fermi-Pasta-Ulam type lattices. (English) Zbl 1216.37018 Nonlinearity 24, No. 1, 293-317 (2011). Reviewer: Sebastien Boyabal (Evian les Bains) MSC: 37J25 70H12 70H14 82C20 PDFBibTeX XMLCite \textit{K. Yoshimura}, Nonlinearity 24, No. 1, 293--317 (2011; Zbl 1216.37018) Full Text: DOI
Khadeeva, L. Z.; Dmitriev, S. V. Characteristics of gap discrete breathers in crystals with NaCl structure. (Russian) Zbl 1249.82026 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 6, 85-92 (2010). MSC: 82D25 PDFBibTeX XMLCite \textit{L. Z. Khadeeva} and \textit{S. V. Dmitriev}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 18, No. 6, 85--92 (2010; Zbl 1249.82026)
Rui, Weiguo; Zhu, Zuo-Nong Mixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEs. (English) Zbl 1205.34006 Appl. Math. Comput. 216, No. 5, 1501-1512 (2010). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A33 34A05 PDFBibTeX XMLCite \textit{W. Rui} and \textit{Z.-N. Zhu}, Appl. Math. Comput. 216, No. 5, 1501--1512 (2010; Zbl 1205.34006) Full Text: DOI
Mihóková, E.; Schulman, L. S. Discrete breathers and the anomalous decay of luminescence. (English) Zbl 1190.82044 J. Phys. A, Math. Theor. 43, No. 18, Article ID 183001, 46 p. (2010). MSC: 82D20 82-02 82D25 81V35 37K60 PDFBibTeX XMLCite \textit{E. Mihóková} and \textit{L. S. Schulman}, J. Phys. A, Math. Theor. 43, No. 18, Article ID 183001, 46 p. (2010; Zbl 1190.82044) Full Text: DOI
Bambusi, D.; Penati, T. Continuous approximation of breathers in one- and two-dimensional DNLS lattices. (English) Zbl 1183.37123 Nonlinearity 23, No. 1, 143-157 (2010). MSC: 37K60 35Q55 65N30 PDFBibTeX XMLCite \textit{D. Bambusi} and \textit{T. Penati}, Nonlinearity 23, No. 1, 143--157 (2010; Zbl 1183.37123) Full Text: DOI arXiv
Isojima, Shin; Satsuma, Junkichi On oscillatory solutions of the ultradiscrete sine-Gordon equation. (English) Zbl 1278.39006 JSIAM Lett. 1, 25-27 (2009). MSC: 39A12 39A10 39A21 35Q51 37K40 PDFBibTeX XMLCite \textit{S. Isojima} and \textit{J. Satsuma}, JSIAM Lett. 1, 25--27 (2009; Zbl 1278.39006) Full Text: DOI Link
Doktorov, Evgeny V.; Molchan, Maxim A. Discrete nonlinear Schrödinger equation with arbitrary nonlocality: linear stability analysis and localized solution. (English) Zbl 1228.35222 Phys. Lett., A 373, No. 11, 1031-1036 (2009). MSC: 35Q55 37K60 35C08 78A50 82D30 PDFBibTeX XMLCite \textit{E. V. Doktorov} and \textit{M. A. Molchan}, Phys. Lett., A 373, No. 11, 1031--1036 (2009; Zbl 1228.35222) Full Text: DOI
Isojima, Shin; Konno, Tomoyuki; Satsuma, Junkichi On oscillatory solutions in ultradiscrete system. (English) Zbl 1244.39011 RIMS Kôkyûroku Bessatsu B13, 85-93 (2009). Reviewer: Ondřej Došlý (Brno) MSC: 39A21 39A10 39A12 35Q35 PDFBibTeX XMLCite \textit{S. Isojima} et al., RIMS Kôkyûroku Bessatsu B13, 85--93 (2009; Zbl 1244.39011)
Rumpf, Benno Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation. (English) Zbl 1194.34012 Physica D 238, No. 20, 2067-2077 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 34A33 34C15 82C20 37D35 PDFBibTeX XMLCite \textit{B. Rumpf}, Physica D 238, No. 20, 2067--2077 (2009; Zbl 1194.34012) Full Text: DOI
Xu, Quan; Tian, Qiang Two-dimensional breather lattice solutions and compact-like discrete breathers and their stability in discrete two-dimensional monatomic \(\beta\)-FPU lattice. (English) Zbl 1173.82313 Commun. Theor. Phys. 51, No. 1, 153-156 (2009). MSC: 82B20 35Q51 35Q53 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{Q. Tian}, Commun. Theor. Phys. 51, No. 1, 153--156 (2009; Zbl 1173.82313) Full Text: DOI
Pando L., C. L.; Doedel, E. J. Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation. (English) Zbl 1160.37376 Physica D 238, No. 6, 687-698 (2009). MSC: 37G15 35Q55 PDFBibTeX XMLCite \textit{C. L. Pando L.} and \textit{E. J. Doedel}, Physica D 238, No. 6, 687--698 (2009; Zbl 1160.37376) Full Text: DOI
Kimura, Masayuki; Hikihara, Takashi Stability change of intrinsic localized mode in finite nonlinear coupled oscillators. (English) Zbl 1221.70028 Phys. Lett., A 372, No. 25, 4592-4595 (2008). MSC: 70K20 74M25 74H55 74H65 PDFBibTeX XMLCite \textit{M. Kimura} and \textit{T. Hikihara}, Phys. Lett., A 372, No. 25, 4592--4595 (2008; Zbl 1221.70028) Full Text: DOI Link
Alvarez, A.; Romero, F. R.; Cuevas, J.; Archilla, J. F. R. Discrete moving breather collisions in a Klein-Gordon chain of oscillators. (English) Zbl 1217.81046 Phys. Lett., A 372, No. 8, 1256-1264 (2008). MSC: 81Q05 35Q51 81T25 PDFBibTeX XMLCite \textit{A. Alvarez} et al., Phys. Lett., A 372, No. 8, 1256--1264 (2008; Zbl 1217.81046) Full Text: DOI arXiv
Cuevas, J.; Eilbeck, J. C.; Karachalios, N. I. Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity. (English) Zbl 1148.37039 Discrete Contin. Dyn. Syst. 21, No. 2, 445-475 (2008). MSC: 37L60 35Q55 47J30 35Q51 PDFBibTeX XMLCite \textit{J. Cuevas} et al., Discrete Contin. Dyn. Syst. 21, No. 2, 445--475 (2008; Zbl 1148.37039) Full Text: DOI arXiv
Akhmediev, Nail (ed.); Ankiewicz, Adrian (ed.) Dissipative solitons. From optics to biology and medicine. (English) Zbl 1147.35049 Lecture Notes in Physics 751. Berlin: Springer (ISBN 978-3-540-78216-2/hbk). xiii, 477 p. (2008). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-06 37-06 78-06 82-06 92-06 00B15 35Q51 35Q56 78A60 92B20 PDFBibTeX XMLCite \textit{N. Akhmediev} (ed.) and \textit{A. Ankiewicz} (ed.), Dissipative solitons. From optics to biology and medicine. Berlin: Springer (2008; Zbl 1147.35049) Full Text: DOI Link
Panayotaros, Panayotis Invariant tori in the discrete NLS with small amplitude diffraction management. (English) Zbl 1161.37050 Physica D 237, No. 6, 829-839 (2008). Reviewer: Hu Chuangan (Tianjin) MSC: 37K55 35Q55 PDFBibTeX XMLCite \textit{P. Panayotaros}, Physica D 237, No. 6, 829--839 (2008; Zbl 1161.37050) Full Text: DOI
Yoshimura, Kazuyuki; Doi, Yusuke Moving discrete breathers in nonlinear lattice: resonance and stability. (English) Zbl 1231.82041 Wave Motion 45, No. 1-2, 83-99 (2007). MSC: 82C20 37L60 34B45 34D20 37K40 70H07 PDFBibTeX XMLCite \textit{K. Yoshimura} and \textit{Y. Doi}, Wave Motion 45, No. 1--2, 83--99 (2007; Zbl 1231.82041) Full Text: DOI
Feng, Bao-Feng; Kawahara, Takuji Discrete breathers in two-dimensional nonlinear lattices. (English) Zbl 1231.82037 Wave Motion 45, No. 1-2, 68-82 (2007). MSC: 82C20 37K60 34B45 34L40 PDFBibTeX XMLCite \textit{B.-F. Feng} and \textit{T. Kawahara}, Wave Motion 45, No. 1--2, 68--82 (2007; Zbl 1231.82037) Full Text: DOI
Abdullaev, F. Kh.; Bouketir, A.; Messikh, A.; Umarov, B. A. Modulational instability and discrete breathers in the discrete cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1125.37052 Physica D 232, No. 1, 54-61 (2007). MSC: 37K60 35Q55 37K45 37N20 81V70 PDFBibTeX XMLCite \textit{F. Kh. Abdullaev} et al., Physica D 232, No. 1, 54--61 (2007; Zbl 1125.37052) Full Text: DOI
Gerdjikov, Vladimir; Valchev, Tihomir Breather solutions of \(N\)-wave equations. (English) Zbl 1123.35342 Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 184-200 (2007). MSC: 35Q51 37K35 58J72 PDFBibTeX XMLCite \textit{V. Gerdjikov} and \textit{T. Valchev}, in: Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 9--14, 2006. Sofia: Bulgarian Academy of Sciences. 184--200 (2007; Zbl 1123.35342)
Ikeda, Kousuke; Doi, Yusuke; Feng, Bao-Feng; Kawahara, Takuji Chaotic breathers of two types in a two-dimensional Morse lattice with an on-site harmonic potential. (English) Zbl 1113.82043 Physica D 225, No. 2, 184-196 (2007). MSC: 82C20 37L60 37D45 PDFBibTeX XMLCite \textit{K. Ikeda} et al., Physica D 225, No. 2, 184--196 (2007; Zbl 1113.82043) Full Text: DOI
Feng, Bao-Feng; Doi, Yusuke; Kawahara, Takuji A regularized model equation for discrete breathers in anharmonic lattices with symmetric nearest-neighbor potentials. (English) Zbl 1102.82019 Physica D 214, No. 1, 33-41 (2006). Reviewer: Guy Jumarie (Montréal) MSC: 82C20 34B45 37K60 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., Physica D 214, No. 1, 33--41 (2006; Zbl 1102.82019) Full Text: DOI
Karachalios, Nikos I. A remark on the existence of breather solutions for the discrete nonlinear Schrödinger equation in infinite lattices: the case of site-dependent anharmonic parameters. (English) Zbl 1134.37363 Proc. Edinb. Math. Soc., II. Ser. 49, No. 1, 115-129 (2006). MSC: 37K60 35Q55 37L60 47J30 PDFBibTeX XMLCite \textit{N. I. Karachalios}, Proc. Edinb. Math. Soc., II. Ser. 49, No. 1, 115--129 (2006; Zbl 1134.37363) Full Text: DOI arXiv
Kopidakis, G.; Aubry, S. Localization and targeted transfer of atomic-scale nonlinear excitations: perspectives for applications. (English) Zbl 1096.82013 Dauxois, Thierry (ed.) et al., Energy localisation and transfer. Selected lecture notes based on the presentation at the training school ‘Energy localisation and transfers in crystal, biomolecules and Josephson arrays’, Les Houches, France, January 27 – February 1, 2003. Hackensack, NJ: World Scientific (ISBN 981-238-742-0/hbk). Advanced Series in Nonlinear Dynamics 22, 355-404 (2004). MSC: 82C20 82C70 82D60 PDFBibTeX XMLCite \textit{G. Kopidakis} and \textit{S. Aubry}, Adv. Ser. Nonlinear Dyn. 22, 355--404 (2004; Zbl 1096.82013)
Feng, Bao-Feng; Doi, Yusuke; Kawahara, Takuji Quasi-continuum approximation for discrete breathers in Fermi-Pasta-Ulam atomic chains. (English) Zbl 1071.82006 J. Phys. Soc. Japan 73, No. 8, 2100-2111 (2004). MSC: 82B10 35Q51 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., J. Phys. Soc. Japan 73, No. 8, 2100--2111 (2004; Zbl 1071.82006) Full Text: DOI
James, Guillaume; Noble, Pascal Breathers on diatomic Fermi-Pasta-Ulam lattices. (English) Zbl 1081.82003 Physica D 196, No. 1-2, 124-171 (2004). MSC: 82B20 37L10 37L60 81V80 PDFBibTeX XMLCite \textit{G. James} and \textit{P. Noble}, Physica D 196, No. 1--2, 124--171 (2004; Zbl 1081.82003) Full Text: DOI
Alfimov, G. L.; Brazhnyi, V. A.; Konotop, V. V. On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation. (English) Zbl 1051.35080 Physica D 194, No. 1-2, 127-150 (2004). MSC: 35Q55 37K60 37G10 37L60 PDFBibTeX XMLCite \textit{G. L. Alfimov} et al., Physica D 194, No. 1--2, 127--150 (2004; Zbl 1051.35080) Full Text: DOI arXiv
Berger, A.; MacKay, R. S.; Rothos, V. M. A criterion for non-persistence of travelling breathers for perturbations of the Ablowitz-Ladik lattice. (English) Zbl 1062.37095 Discrete Contin. Dyn. Syst., Ser. B 4, No. 4, 911-920 (2004). Reviewer: Jens Rademacher (Vancouver) MSC: 37K60 34L40 37L60 39A12 PDFBibTeX XMLCite \textit{A. Berger} et al., Discrete Contin. Dyn. Syst., Ser. B 4, No. 4, 911--920 (2004; Zbl 1062.37095) Full Text: DOI
Comte, J. C. Exact discrete compactlike breathers in soft \(\varphi^{4}\) potentials. (English) Zbl 1037.35076 Chaos Solitons Fractals 15, No. 3, 501-506 (2003). MSC: 35Q55 37K45 PDFBibTeX XMLCite \textit{J. C. Comte}, Chaos Solitons Fractals 15, No. 3, 501--506 (2003; Zbl 1037.35076) Full Text: DOI
Kevrekidis, P. G.; Weinstein, M. I. Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. (English) Zbl 1015.65041 Math. Comput. Simul. 62, No. 1-2, 65-78 (2003). MSC: 65M06 65M12 35Q55 35Q53 PDFBibTeX XMLCite \textit{P. G. Kevrekidis} and \textit{M. I. Weinstein}, Math. Comput. Simul. 62, No. 1--2, 65--78 (2003; Zbl 1015.65041) Full Text: DOI arXiv
Ibañes, Marta; Sancho, José M.; Tsironis, George P. Dynamical properties of discrete breathers in curved chains with first and second neighbor interactions. (English) Zbl 1244.82090 Phys. Rev. E (3) 65, No. 4, Article ID 041902, 13 p. (2002). MSC: 82D60 PDFBibTeX XMLCite \textit{M. Ibañes} et al., Phys. Rev. E (3) 65, No. 4, Article ID 041902, 13 p. (2002; Zbl 1244.82090) Full Text: DOI
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Zheng, Zhi-Gang Discrete breathers in lattices of coupled oscillators. (English) Zbl 1164.82318 Commun. Theor. Phys. 35, No. 2, 137-142 (2001). MSC: 82C20 PDFBibTeX XMLCite \textit{Z.-G. Zheng}, Commun. Theor. Phys. 35, No. 2, 137--142 (2001; Zbl 1164.82318) Full Text: DOI
Speight, J. M.; Sutcliffe, P. M. Discrete breathers in anisotropic ferromagnetic spin chains. (English) Zbl 0991.82012 J. Phys. A, Math. Gen. 34, No. 49, 10839-10858 (2001). MSC: 82B20 PDFBibTeX XMLCite \textit{J. M. Speight} and \textit{P. M. Sutcliffe}, J. Phys. A, Math. Gen. 34, No. 49, 10839--10858 (2001; Zbl 0991.82012) Full Text: DOI arXiv
Rasmussen, K.Ø.; Christiansen, P. L.; Johansson, M.; Gaididei, Yu. B.; Mingaleev, S. F. Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise. (English) Zbl 0969.81010 Physica D 113, No. 2-4, 134-151 (1998). MSC: 81Q05 81-04 82D20 81Q50 81V70 PDFBibTeX XMLCite \textit{K. Ø. Rasmussen} et al., Physica D 113, No. 2--4, 134--151 (1998; Zbl 0969.81010) Full Text: DOI
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Wattis, Jonathan A. D. Stationary breather modes of generalized nonlinear Klein-Gordon lattices. (English) Zbl 0927.35101 J. Phys. A, Math. Gen. 31, No. 14, 3301-3323 (1998). MSC: 35Q53 82C20 39A12 PDFBibTeX XMLCite \textit{J. A. D. Wattis}, J. Phys. A, Math. Gen. 31, No. 14, 3301--3323 (1998; Zbl 0927.35101) Full Text: DOI Link
Johansson, Magnus; Aubry, Serge Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation. (English) Zbl 0905.39005 Nonlinearity 10, No. 5, 1151-1178 (1997). MSC: 39A12 35Q55 81Q05 PDFBibTeX XMLCite \textit{M. Johansson} and \textit{S. Aubry}, Nonlinearity 10, No. 5, 1151--1178 (1997; Zbl 0905.39005) Full Text: DOI
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