Chauleur, Quentin Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. (English) Zbl 07816737 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024). MSC: 35Q55 35Q41 37K60 35J05 39A12 PDFBibTeX XMLCite \textit{Q. Chauleur}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024; Zbl 07816737) Full Text: DOI arXiv
Deng, Jiayu; Ji, Shuguan Multiplicity results of periodic solutions for a coupled system of wave equations. (English) Zbl 07815119 Commun. Pure Appl. Anal. 23, No. 2, 195-211 (2024). MSC: 35B10 35A15 35B10 35L53 35L71 37L65 PDFBibTeX XMLCite \textit{J. Deng} and \textit{S. Ji}, Commun. Pure Appl. Anal. 23, No. 2, 195--211 (2024; Zbl 07815119) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian \(N\)-soliton asymptotic analysis on the Gerdjikov-Ivanov equation for the Alfvén waves in a plasma. (English) Zbl 07809666 Appl. Math. Lett. 150, Article ID 108967, 6 p. (2024). MSC: 35Q35 35Q55 76W05 76X05 78A35 35C08 35B40 37K35 PDFBibTeX XMLCite \textit{X.-H. Wu} and \textit{Y.-T. Gao}, Appl. Math. Lett. 150, Article ID 108967, 6 p. (2024; Zbl 07809666) Full Text: DOI
Zhang, Ying-Nan; Hu, Xing-Biao; Sun, Jian-Qing Quasi-periodic waves to the defocusing nonlinear Schrödinger equation. (English) Zbl 07807840 Nonlinearity 37, No. 3, Article ID 035010, 23 p. (2024). MSC: 37K40 35Q55 35B15 PDFBibTeX XMLCite \textit{Y.-N. Zhang} et al., Nonlinearity 37, No. 3, Article ID 035010, 23 p. (2024; Zbl 07807840) Full Text: DOI
Maeda, Masaya; Yamazaki, Yohei Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes. (English) Zbl 07806928 J. Differ. Equations 387, 256-298 (2024). MSC: 35Q55 35Q41 35B40 35B35 35A01 35A02 35R01 37K35 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{Y. Yamazaki}, J. Differ. Equations 387, 256--298 (2024; Zbl 07806928) Full Text: DOI arXiv
de Laire, André; Gravejat, Philippe; Smets, Didier Construction of minimizing traveling waves for the Gross-Pitaevskii equation on \(\mathbb{R} \times \mathbb{T}\). (English) Zbl 07803195 Tunis. J. Math. 6, No. 1, 157-188 (2024). MSC: 35C07 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{A. de Laire} et al., Tunis. J. Math. 6, No. 1, 157--188 (2024; Zbl 07803195) Full Text: DOI arXiv
Qin, Yuming; Han, Xiaoyue Quasi-stability and upper semicontinuity for coupled wave equations with fractional damping. (English) Zbl 07791683 Appl. Math. Optim. 89, No. 1, Paper No. 26, 34 p. (2024). MSC: 26A15 35B40 35B41 35L05 37L05 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{X. Han}, Appl. Math. Optim. 89, No. 1, Paper No. 26, 34 p. (2024; Zbl 07791683) Full Text: DOI
Hakkaev, Sevdzhan Spectral stability of periodic waves for the Drinfeld-Sokolov-Wilson equation. (English) Zbl 07791629 J. Math. Anal. Appl. 533, No. 1, Article ID 128016, 17 p. (2024). MSC: 35Q53 35B35 35B10 35C07 35P05 37K45 47A10 PDFBibTeX XMLCite \textit{S. Hakkaev}, J. Math. Anal. Appl. 533, No. 1, Article ID 128016, 17 p. (2024; Zbl 07791629) Full Text: DOI
de Laire, André; Dujardin, Guillaume; López-Martínez, Salvador Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation. (English) Zbl 07787315 J. Nonlinear Sci. 34, No. 1, Paper No. 23, 30 p. (2024). MSC: 35Q55 35C07 35B35 35C07 35C08 37K40 65M06 65N06 65M12 PDFBibTeX XMLCite \textit{A. de Laire} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 23, 30 p. (2024; Zbl 07787315) Full Text: DOI arXiv
Forlano, Justin; Tolomeo, Leonardo On the unique ergodicity for a class of 2 dimensional stochastic wave equations. (English) Zbl 07785449 Trans. Am. Math. Soc. 377, No. 1, 345-394 (2024). MSC: 35R60 35L15 35L71 37A25 60H15 PDFBibTeX XMLCite \textit{J. Forlano} and \textit{L. Tolomeo}, Trans. Am. Math. Soc. 377, No. 1, 345--394 (2024; Zbl 07785449) Full Text: DOI arXiv
Singh, Shailendra; Saha Ray, S. Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials. (English) Zbl 1526.35105 J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024). MSC: 35C05 35A22 37K10 PDFBibTeX XMLCite \textit{S. Singh} and \textit{S. Saha Ray}, J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024; Zbl 1526.35105) Full Text: DOI
Khater, Mostafa M. A. Hybrid accurate simulations for constructing some novel analytical and numerical solutions of three-order GNLS equation. (English) Zbl 07793955 Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350159, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 35C07 35B35 35A20 37K40 65D07 PDFBibTeX XMLCite \textit{M. M. A. Khater}, Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350159, 22 p. (2023; Zbl 07793955) Full Text: DOI
Zhai, Yunyun; Hu, Xinghua; Ji, Ting; Wei, Jiao; Li, Yihao Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds. (English) Zbl 07789833 Math. Methods Appl. Sci. 46, No. 16, 17328-17344 (2023). MSC: 35Q55 35Q51 37K40 37K10 PDFBibTeX XMLCite \textit{Y. Zhai} et al., Math. Methods Appl. Sci. 46, No. 16, 17328--17344 (2023; Zbl 07789833) Full Text: DOI
Peng, Wei-Qi; Chen, Yong Bound-state soliton and rogue wave solutions for the sixth-order nonlinear Schrödinger equation via inverse scattering transform method. (English) Zbl 07781115 Math. Methods Appl. Sci. 46, No. 1, 126-141 (2023). MSC: 35Q55 35Q41 35Q15 35Q51 35C08 37K15 37K35 PDFBibTeX XMLCite \textit{W.-Q. Peng} and \textit{Y. Chen}, Math. Methods Appl. Sci. 46, No. 1, 126--141 (2023; Zbl 07781115) Full Text: DOI arXiv
Jendrej, Jacek; Lawrie, Andrew Soliton resolution for the energy-critical nonlinear wave equation in the radial case. (English) Zbl 07778263 Ann. PDE 9, No. 2, Paper No. 18, 117 p. (2023). MSC: 35L71 35B40 35C08 35L15 37K40 PDFBibTeX XMLCite \textit{J. Jendrej} and \textit{A. Lawrie}, Ann. PDE 9, No. 2, Paper No. 18, 117 p. (2023; Zbl 07778263) Full Text: DOI arXiv
Roux, Filippus S. Four-wave mixing in all degrees of freedom. (English) Zbl 07763667 J. Phys. A, Math. Theor. 56, No. 47, Article ID 475301, 18 p. (2023). MSC: 81S30 78A60 37A25 70F10 33E15 78A48 55M25 60G35 94A14 PDFBibTeX XMLCite \textit{F. S. Roux}, J. Phys. A, Math. Theor. 56, No. 47, Article ID 475301, 18 p. (2023; Zbl 07763667) Full Text: DOI
Niu, Zhenjie; Li, Biao \( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation. (English) Zbl 1523.37076 J. Nonlinear Math. Phys. 30, No. 3, 1123-1133 (2023). MSC: 37K15 37K20 37K10 35C08 35L05 32W05 PDFBibTeX XMLCite \textit{Z. Niu} and \textit{B. Li}, J. Nonlinear Math. Phys. 30, No. 3, 1123--1133 (2023; Zbl 1523.37076) Full Text: DOI OA License
Yin, Yu-Hang; Lü, Xing Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE. (English) Zbl 1528.35172 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107441, 17 p. (2023). MSC: 35Q55 35Q41 35Q60 78A60 35C08 68T07 37K35 65M99 PDFBibTeX XMLCite \textit{Y.-H. Yin} and \textit{X. Lü}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107441, 17 p. (2023; Zbl 1528.35172) Full Text: DOI
Zhang, Guangxiong; Huang, Peng; Feng, Bao-Feng; Wu, Chengfa Rogue waves and their patterns in the vector nonlinear Schrödinger equation. (English) Zbl 1526.35114 J. Nonlinear Sci. 33, No. 6, Paper No. 116, 64 p. (2023). MSC: 35C08 35C05 35Q55 37K40 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 116, 64 p. (2023; Zbl 1526.35114) Full Text: DOI arXiv
Shi, Xinrui; Yang, Yunqing Exact solutions and Darboux transformation for the reverse space-time nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1524.35553 Wave Motion 119, Article ID 103141, 10 p. (2023). MSC: 35Q53 35Q55 35C08 37K15 37K10 PDFBibTeX XMLCite \textit{X. Shi} and \textit{Y. Yang}, Wave Motion 119, Article ID 103141, 10 p. (2023; Zbl 1524.35553) Full Text: DOI
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
Wen, Ting; Sun, Jianqing Quasi-periodic waves and asymptotic behavior for a coupled nonlinear Klein-Gordon equation. (English) Zbl 07748563 Proc. Am. Math. Soc. 151, No. 12, 5265-5282 (2023). MSC: 37K40 35Q51 35B10 35C07 PDFBibTeX XMLCite \textit{T. Wen} and \textit{J. Sun}, Proc. Am. Math. Soc. 151, No. 12, 5265--5282 (2023; Zbl 07748563) Full Text: DOI
Feng, Chun-Hui; Tian, Bo; Yang, Dan-Yu; Gao, Xiao-Tian Bilinear form, bilinear Bäcklund transformations, breather and periodic-wave solutions for a \((2+1)\)-dimensional shallow water equation with the time-dependent coefficients. (English) Zbl 07736300 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 147, 19 p. (2023). MSC: 35Q86 35Q35 86A05 76B15 76U60 35C08 35B10 35B40 37K35 68W30 PDFBibTeX XMLCite \textit{C.-H. Feng} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 147, 19 p. (2023; Zbl 07736300) Full Text: DOI
Abdel-Gawad, H. I. Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: modulation instability. (English) Zbl 1519.35281 Commun. Theor. Phys. 75, No. 6, Article ID 065005, 12 p. (2023). MSC: 35Q55 35C08 37K45 PDFBibTeX XMLCite \textit{H. I. Abdel-Gawad}, Commun. Theor. Phys. 75, No. 6, Article ID 065005, 12 p. (2023; Zbl 1519.35281) Full Text: DOI
Dion, Claude M. Program for quantum wave-packet dynamics with time-dependent potentials (new version announcement). (English) Zbl 07723488 Comput. Phys. Commun. 291, Article ID 108810, 2 p. (2023). MSC: 81Q05 35Q41 78A37 78A60 81Q93 65D40 37D30 PDFBibTeX XMLCite \textit{C. M. Dion}, Comput. Phys. Commun. 291, Article ID 108810, 2 p. (2023; Zbl 07723488) Full Text: DOI
Hong, Si-Yu; Zhang, Wei-Guo; Ling, Xing-Qian Orbital stability of dn periodic wave solutions of the Boussinesq equation with quadratic-cubic nonlinear terms. (English) Zbl 1519.35024 J. Nonlinear Math. Phys. 30, No. 2, 455-474 (2023). MSC: 35B35 35Q51 35C07 37K45 PDFBibTeX XMLCite \textit{S.-Y. Hong} et al., J. Nonlinear Math. Phys. 30, No. 2, 455--474 (2023; Zbl 1519.35024) Full Text: DOI
Rybkin, Alexei Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation. (English) Zbl 07719625 Commun. Math. Phys. 401, No. 3, 2433-2458 (2023). MSC: 35Q53 35Q55 37K15 37K35 35C08 35C07 35P10 PDFBibTeX XMLCite \textit{A. Rybkin}, Commun. Math. Phys. 401, No. 3, 2433--2458 (2023; Zbl 07719625) Full Text: DOI arXiv
Omel’yanov, G.; Rodriguez, J. Noyola Solitary wave solutions to a generalization of the mKdV equation. (English) Zbl 07712744 Russ. J. Math. Phys. 30, No. 2, 246-256 (2023). MSC: 35Q35 35Q53 76B15 76B25 35C08 35A09 35A01 35A02 37K15 37K10 PDFBibTeX XMLCite \textit{G. Omel'yanov} and \textit{J. N. Rodriguez}, Russ. J. Math. Phys. 30, No. 2, 246--256 (2023; Zbl 07712744) Full Text: DOI arXiv
Gao, Meina Invariant tori for the Hamiltonian derivative wave equation with higher order nonlinearity. (English) Zbl 1527.37080 Commun. Pure Appl. Anal. 22, No. 5, 1429-1455 (2023). MSC: 37K55 35B10 35B15 PDFBibTeX XMLCite \textit{M. Gao}, Commun. Pure Appl. Anal. 22, No. 5, 1429--1455 (2023; Zbl 1527.37080) Full Text: DOI
Liu, Ya-Hui; Hao, Hui-Qin; Zhang, Jian-Wen Rogue wave solutions on different periodic backgrounds for the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain equation. (English) Zbl 07707939 J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127421, 15 p. (2023). MSC: 35Q55 35Q82 82D40 82C20 35C08 37K35 33E05 PDFBibTeX XMLCite \textit{Y.-H. Liu} et al., J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127421, 15 p. (2023; Zbl 07707939) Full Text: DOI
Wu, Zhi-Jia; Tian, Shou-Fu Breather-to-soliton conversions and their mechanisms of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation. (English) Zbl 07703862 Math. Comput. Simul. 210, 235-259 (2023). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{Z.-J. Wu} and \textit{S.-F. Tian}, Math. Comput. Simul. 210, 235--259 (2023; Zbl 07703862) Full Text: DOI
Li, Li; Wang, Lu; Yu, Faj Some general bright soliton solutions and interactions for a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. (English) Zbl 1514.35408 Appl. Math. Lett. 141, Article ID 108600, 8 p. (2023). MSC: 35Q55 35C08 37K40 35Q51 81Q05 PDFBibTeX XMLCite \textit{L. Li} et al., Appl. Math. Lett. 141, Article ID 108600, 8 p. (2023; Zbl 1514.35408) Full Text: DOI
Niu, Jia-Xue; Guo, Rui The zero-phase solution and rarefaction wave structures for the higher-order Chen-Lee-Liu equation. (English) Zbl 1519.35299 Appl. Math. Lett. 140, Article ID 108568, 7 p. (2023). MSC: 35Q55 37K15 76L05 76P05 35G25 PDFBibTeX XMLCite \textit{J.-X. Niu} and \textit{R. Guo}, Appl. Math. Lett. 140, Article ID 108568, 7 p. (2023; Zbl 1519.35299) Full Text: DOI
Chen, Jing; Li, Erbo; Xue, Yushan Complete classification of solutions to the Riemann initial value problem for the Hirota equation with weak dispersion term. (English) Zbl 1516.35370 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113281, 59 p. (2023). MSC: 35Q53 35Q55 35Q31 37K15 76L05 35C08 35C07 35B65 65M70 65L06 PDFBibTeX XMLCite \textit{J. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113281, 59 p. (2023; Zbl 1516.35370) Full Text: DOI
Berntson, Bjorn K.; Klabbers, Rob Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics. (English) Zbl 07690490 Nonlinearity 36, No. 6, 3068-3108 (2023). MSC: 35Q51 35C08 33E05 35B10 37K20 37K35 37K40 PDFBibTeX XMLCite \textit{B. K. Berntson} and \textit{R. Klabbers}, Nonlinearity 36, No. 6, 3068--3108 (2023; Zbl 07690490) Full Text: DOI arXiv
Sun, Yingte; Li, Siming; Wu, Xiaoqing Exponential and sub-exponential stability times for the derivative wave equation. (English) Zbl 1519.37092 Discrete Contin. Dyn. Syst. 43, No. 6, 2186-2212 (2023). MSC: 37K55 35B35 35Q35 PDFBibTeX XMLCite \textit{Y. Sun} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2186--2212 (2023; Zbl 1519.37092) Full Text: DOI
Ammari, Zied; Sohinger, Vedran Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs. (English) Zbl 1514.35403 Rev. Mat. Iberoam. 39, No. 1, 29-90 (2023). MSC: 35Q55 35L05 37D35 60H07 60H40 60G15 82B05 28C20 PDFBibTeX XMLCite \textit{Z. Ammari} and \textit{V. Sohinger}, Rev. Mat. Iberoam. 39, No. 1, 29--90 (2023; Zbl 1514.35403) Full Text: DOI arXiv
Zheng, Xiaoxiao; Zhao, Lingling; Xu, Yuanqing A new composite technique to obtain non-traveling wave solutions of the \((2+1)\)-dimensional extended variable coefficients Bogoyavlenskii-Kadomtsev-Petviashvili equation. (English) Zbl 1512.35158 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 83, 24 p. (2023). MSC: 35G20 37K10 68W30 PDFBibTeX XMLCite \textit{X. Zheng} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 83, 24 p. (2023; Zbl 1512.35158) Full Text: DOI
Wen, Xian; Yu, Xuhong; Wang, Zhongqing A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations. (English) Zbl 1511.65111 Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349-3372 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 76B25 76B15 37K06 35C08 42C10 46E35 35Q35 35Q53 PDFBibTeX XMLCite \textit{X. Wen} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349--3372 (2023; Zbl 1511.65111) Full Text: DOI
Wei, Cheng-Cheng; Tian, Bo; Zhao, Xin; Chen, Yu-Qi Jacobian-elliptic-function and rogue-periodic-wave solutions of a fifth-order nonlinear Schrödinger equation in an optical fiber. (English) Zbl 1511.35332 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 38, 15 p. (2023). MSC: 35Q55 35Q41 35Q60 78A60 35C08 35B10 33E05 37K35 PDFBibTeX XMLCite \textit{C.-C. Wei} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 38, 15 p. (2023; Zbl 1511.35332) Full Text: DOI
Yan, Xinying; Liu, Jinzhou; Xin, Xiangpeng Soliton solutions and lump-type solutions to the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficient. (English) Zbl 07642367 Phys. Lett., A 457, Article ID 128574, 9 p. (2023). MSC: 37K10 76B15 76B25 35C08 PDFBibTeX XMLCite \textit{X. Yan} et al., Phys. Lett., A 457, Article ID 128574, 9 p. (2023; Zbl 07642367) Full Text: DOI
Moon, Byungsoo Nonexistence of periodic peaked traveling wave solutions to a rotation \(\mu \)-Camassa-Holm equation with Coriolis effect. (English) Zbl 1505.35305 Nonlinear Anal., Real World Appl. 70, Article ID 103793, 7 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q53 76U60 86A05 35G25 35D30 35C07 35C08 35A01 37K10 PDFBibTeX XMLCite \textit{B. Moon}, Nonlinear Anal., Real World Appl. 70, Article ID 103793, 7 p. (2023; Zbl 1505.35305) Full Text: DOI
Kudryashov, Nikolay A. Mathematical model with unrestricted dispersion and polynomial nonlinearity. (English) Zbl 1505.35327 Appl. Math. Lett. 138, Article ID 108519, 8 p. (2023). MSC: 35Q55 35Q41 35C08 35C07 35A24 37K10 78A60 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Lett. 138, Article ID 108519, 8 p. (2023; Zbl 1505.35327) Full Text: DOI
Zhu, Mingxuan; Zeng, Zhenteng; Jiang, Zaihong; Xia, Baoqiang; Qiao, Zhijun Rogue peakon, well-posedness, ill-posedness and blow-up phenomenon for an integrable Camassa-Holm type equation. arXiv:2308.11508 Preprint, arXiv:2308.11508 [nlin.SI] (2023). MSC: 37K10 35G25 35L05 BibTeX Cite \textit{M. Zhu} et al., ``Rogue peakon, well-posedness, ill-posedness and blow-up phenomenon for an integrable Camassa-Holm type equation'', Preprint, arXiv:2308.11508 [nlin.SI] (2023) Full Text: arXiv OA License
Lou, Zhaowei Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions. arXiv:2302.13287 Preprint, arXiv:2302.13287 [math.DS] (2023). MSC: 37K55 35L05 35Q55 BibTeX Cite \textit{Z. Lou}, ``Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions'', Preprint, arXiv:2302.13287 [math.DS] (2023) Full Text: arXiv OA License
Wang, Lihong; He, Jingsong; Erdélyi, Róbert Rational solutions of multi-component nonlinear Schrödinger equation and complex modified KdV equation. (English) Zbl 07780972 Math. Methods Appl. Sci. 45, No. 9, 5086-5110 (2022). MSC: 35Q55 35Q41 35Q53 35C08 37K35 37K40 15A18 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Methods Appl. Sci. 45, No. 9, 5086--5110 (2022; Zbl 07780972) Full Text: DOI
Komornik, Vilmos; Pignotti, Cristina Energy decay for evolution equations with delay feedbacks. (English) Zbl 1528.37063 Math. Nachr. 295, No. 2, 377-394 (2022). MSC: 37L05 93D15 PDFBibTeX XMLCite \textit{V. Komornik} and \textit{C. Pignotti}, Math. Nachr. 295, No. 2, 377--394 (2022; Zbl 1528.37063) Full Text: DOI arXiv
Mardiyana, M.; Sutrima, S.; Setiyowati, R.; Respatiwulan, R. Solvability of equations with time-dependent potentials. (English) Zbl 1524.37072 Nonlinear Dyn. Syst. Theory 22, No. 3, 291-302 (2022). MSC: 37L05 47D03 35L05 35K05 PDFBibTeX XMLCite \textit{M. Mardiyana} et al., Nonlinear Dyn. Syst. Theory 22, No. 3, 291--302 (2022; Zbl 1524.37072) Full Text: Link
Mao, Jin-Jin; Tian, Shou-Fu; Xu, Tian-Zhou; Shi, Lin-Fei Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions. (English) Zbl 1511.37081 Commun. Theor. Phys. 74, No. 8, Article ID 085007, 13 p. (2022). MSC: 37K15 35Q55 PDFBibTeX XMLCite \textit{J.-J. Mao} et al., Commun. Theor. Phys. 74, No. 8, Article ID 085007, 13 p. (2022; Zbl 1511.37081) Full Text: DOI
Martel, Yvan Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode. (English) Zbl 1510.35310 Probab. Math. Phys. 3, No. 4, 839-867 (2022). MSC: 35Q55 35Q41 35Q51 35C08 35B40 35A01 35A02 37K40 PDFBibTeX XMLCite \textit{Y. Martel}, Probab. Math. Phys. 3, No. 4, 839--867 (2022; Zbl 1510.35310) Full Text: DOI arXiv
Zhao, Qiulan; Song, Huijie; Li, Xinyue Higher-order rogue wave solutions of the \((2+1)\)-dimensional Fokas-Lenells equation. (English) Zbl 1524.35514 Wave Motion 115, Article ID 103065, 12 p. (2022). MSC: 35Q51 35Q55 37K10 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Wave Motion 115, Article ID 103065, 12 p. (2022; Zbl 1524.35514) Full Text: DOI
Ding, Hang; Zhou, Jun Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping. (English) Zbl 1507.35113 Chaos Solitons Fractals 163, Article ID 112553, 17 p. (2022). MSC: 35L05 35L70 35B40 35B41 35L20 37L30 PDFBibTeX XMLCite \textit{H. Ding} and \textit{J. Zhou}, Chaos Solitons Fractals 163, Article ID 112553, 17 p. (2022; Zbl 1507.35113) Full Text: DOI
Seadawy, Aly R.; Rizvi, Syed T. R.; Ahmed, Sarfaraz Weierstrass and Jacobi elliptic, Bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation. (English) Zbl 1504.35496 Chaos Solitons Fractals 160, Article ID 112258, 17 p. (2022). MSC: 35Q55 35C08 35Q35 37K40 35Q51 PDFBibTeX XMLCite \textit{A. R. Seadawy} et al., Chaos Solitons Fractals 160, Article ID 112258, 17 p. (2022; Zbl 1504.35496) Full Text: DOI
Zhang, Zhao; Yang, Xiangyu; Li, Biao; Wazwaz, Abdul-Majid; Guo, Qi Generation mechanism of high-order rogue waves via the improved long-wave limit method: NLS case. (English) Zbl 1511.35334 Phys. Lett., A 450, Article ID 128395, 7 p. (2022). MSC: 35Q55 35Q41 35A18 35C08 37K35 37K10 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Phys. Lett., A 450, Article ID 128395, 7 p. (2022; Zbl 1511.35334) Full Text: DOI
Zhang, Aijun Traveling wave solutions of periodic nonlocal Fisher-KPP equations with non-compact asymmetric kernel. (English) Zbl 1495.35076 Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 3079-3095 (2022). MSC: 35C07 35K55 37L60 45G10 92D25 PDFBibTeX XMLCite \textit{A. Zhang}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 3079--3095 (2022; Zbl 1495.35076) Full Text: DOI
Wang, Jingyu; Wang, Yejuan; Yang, Lin; Caraballo, Tomás Random attractors for stochastic delay wave equations on \(\mathbb{R}^n\) with linear memory and nonlinear damping. (English) Zbl 1498.35104 Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 3025-3057 (2022). MSC: 35B41 35L15 35R09 35R60 37L55 PDFBibTeX XMLCite \textit{J. Wang} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 3025--3057 (2022; Zbl 1498.35104) Full Text: DOI
Song, N.; Lei, Y. X.; Zhang, Y. F.; Zhang, W. Localized waves for the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber. (English) Zbl 1497.35441 J. Nonlinear Math. Phys. 29, No. 2, 318-330 (2022). MSC: 35Q55 35C08 37K35 37K40 35B40 PDFBibTeX XMLCite \textit{N. Song} et al., J. Nonlinear Math. Phys. 29, No. 2, 318--330 (2022; Zbl 1497.35441) Full Text: DOI
Thomann, Laurent On multi-solitons for coupled lowest Landau level equations. (English) Zbl 1497.35442 Discrete Contin. Dyn. Syst. 42, No. 10, 4937-4964 (2022). MSC: 35Q55 37K06 35C07 35C08 35B08 82C10 PDFBibTeX XMLCite \textit{L. Thomann}, Discrete Contin. Dyn. Syst. 42, No. 10, 4937--4964 (2022; Zbl 1497.35442) Full Text: DOI arXiv
de Laire, André; López-Martínez, Salvador Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1497.35429 Commun. Partial Differ. Equations 47, No. 9, 1732-1794 (2022). MSC: 35Q55 35J20 35C07 37K06 35C08 35A01 37K40 35B45 35R09 82D05 81V73 PDFBibTeX XMLCite \textit{A. de Laire} and \textit{S. López-Martínez}, Commun. Partial Differ. Equations 47, No. 9, 1732--1794 (2022; Zbl 1497.35429) Full Text: DOI arXiv
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
Lafortune, Stéphane; Pelinovsky, Dmitry E. Spectral instability of peakons in the \(b\)-family of the Camassa-Holm equations. (English) Zbl 1496.35057 SIAM J. Math. Anal. 54, No. 4, 4572-4590 (2022). MSC: 35B35 35C07 35C08 35P15 37K10 76B15 PDFBibTeX XMLCite \textit{S. Lafortune} and \textit{D. E. Pelinovsky}, SIAM J. Math. Anal. 54, No. 4, 4572--4590 (2022; Zbl 1496.35057) Full Text: DOI arXiv
Wang, Jingyu; Wang, Yejuan; Caraballo, Tomás Multi-valued random dynamics of stochastic wave equations with infinite delays. (English) Zbl 1496.35093 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 6147-6172 (2022). MSC: 35B40 35L20 35R09 35R10 37L30 37L55 PDFBibTeX XMLCite \textit{J. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 6147--6172 (2022; Zbl 1496.35093) Full Text: DOI
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. (English) Zbl 1496.35308 Nonlinearity 35, No. 8, 4549-4584 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4549--4584 (2022; Zbl 1496.35308) Full Text: DOI arXiv
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. II: Periodic case. (English) Zbl 1496.35307 Nonlinearity 35, No. 8, 4517-4548 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDFBibTeX XMLCite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4517--4548 (2022; Zbl 1496.35307) Full Text: DOI arXiv
Wang, Fei; Wang, Jun-Min; Li, Liangliang Chaotic oscillations of 1D wave equation due to a generalized nonlinear energy-decay boundary condition. (English) Zbl 1495.35113 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250112, 12 p. (2022). MSC: 35L20 37D45 PDFBibTeX XMLCite \textit{F. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250112, 12 p. (2022; Zbl 1495.35113) Full Text: DOI
Yilmaz, Halis Darboux transformation for the Hirota equation. (English) Zbl 1492.35093 J. Math. Phys. Anal. Geom. 18, No. 1, 136-152 (2022). MSC: 35C08 35A22 35Q55 37K10 PDFBibTeX XMLCite \textit{H. Yilmaz}, J. Math. Phys. Anal. Geom. 18, No. 1, 136--152 (2022; Zbl 1492.35093) Full Text: DOI arXiv
Wael, Shrouk; Seadawy, Aly R.; Moawad, S. M.; EL-Kalaawy, O. H. Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions. (English) Zbl 1504.35386 J. Geom. Phys. 178, Article ID 104581, 25 p. (2022). MSC: 35Q35 35Q31 76B15 35B35 37K35 35A30 35J05 58J72 PDFBibTeX XMLCite \textit{S. Wael} et al., J. Geom. Phys. 178, Article ID 104581, 25 p. (2022; Zbl 1504.35386) Full Text: DOI
Mi, Lufang; Sun, Yingte; Wang, Peizhen Long time stability of plane wave solutions to Schrödinger equation on torus. (English) Zbl 1521.37086 Appl. Anal. 101, No. 8, 2825-2859 (2022). MSC: 37K55 37K40 37K45 35B35 35Q55 35C07 PDFBibTeX XMLCite \textit{L. Mi} et al., Appl. Anal. 101, No. 8, 2825--2859 (2022; Zbl 1521.37086) Full Text: DOI
Nam, Bui Duc; Nhan, Nguyen Huu; Ngoc, Le Thi Phuong; Long, Nguyen Thanh On a system of nonlinear wave equations with the Kirchhoff-Carrier and Balakrishnan-Taylor terms. (English) Zbl 1513.35373 Math. Bohem. 147, No. 2, 237-270 (2022). Reviewer: Marie Kopáčková (Praha) MSC: 35L57 35Q74 35D30 35B40 35L20 35L70 37B25 PDFBibTeX XMLCite \textit{B. D. Nam} et al., Math. Bohem. 147, No. 2, 237--270 (2022; Zbl 1513.35373) Full Text: DOI
Wang, Xiu-Bin Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. (English) Zbl 1492.35321 Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022). MSC: 35Q55 35Q41 35B10 37K35 35C08 PDFBibTeX XMLCite \textit{X.-B. Wang}, Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022; Zbl 1492.35321) Full Text: DOI
Gong, Ruizhi; Shi, Yuren; Wang, Deng-Shan Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions. (English) Zbl 1490.35087 Discrete Contin. Dyn. Syst. 42, No. 7, 3355-3378 (2022). MSC: 35C07 35G55 35Q51 37C75 37K10 PDFBibTeX XMLCite \textit{R. Gong} et al., Discrete Contin. Dyn. Syst. 42, No. 7, 3355--3378 (2022; Zbl 1490.35087) Full Text: DOI
Seadawy, Aly R.; Akram, Urooj; Rizvi, Syed T. R. Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion. (English) Zbl 1490.35098 J. Geom. Phys. 177, Article ID 104521, 16 p. (2022). MSC: 35C08 35Q55 37K10 PDFBibTeX XMLCite \textit{A. R. Seadawy} et al., J. Geom. Phys. 177, Article ID 104521, 16 p. (2022; Zbl 1490.35098) Full Text: DOI
Zhou, Xin-Mei; Zhang, Tian-Tian; Zhu, Chenghao; Chen, Yi-Ren Transition of the breather wave of six-order nonlinear Schrödinger equation. (English) Zbl 1490.35465 Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022). MSC: 35Q55 37K35 35C08 35B05 PDFBibTeX XMLCite \textit{X.-M. Zhou} et al., Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022; Zbl 1490.35465) Full Text: DOI
Alouini, Brahim Finite dimensional global attractor for a fractional Schrödinger type equation with mixed anisotropic dispersion. (English) Zbl 1487.35098 J. Dyn. Differ. Equations 34, No. 2, 1237-1268 (2022). MSC: 35B41 35Q55 35R11 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, J. Dyn. Differ. Equations 34, No. 2, 1237--1268 (2022; Zbl 1487.35098) Full Text: DOI
Wang, Zijia; Zhaqilao Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background. (English) Zbl 1524.35608 Wave Motion 108, Article ID 102839, 9 p. (2022). MSC: 35Q55 35C08 37K10 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Zhaqilao}, Wave Motion 108, Article ID 102839, 9 p. (2022; Zbl 1524.35608) Full Text: DOI
Novruzov, Emil; Bayrak, Vural Blow-up criteria for a two-component nonlinear dispersive wave system. (English) Zbl 1486.35079 J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022). MSC: 35B44 35L71 35L90 37K10 74K10 PDFBibTeX XMLCite \textit{E. Novruzov} and \textit{V. Bayrak}, J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022; Zbl 1486.35079) Full Text: DOI
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 1498.35456 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 35Q55 35Q41 35Q60 35L70 35P30 35B20 35B41 35C08 78A45 47J10 47J35 37K06 35R03 PDFBibTeX XMLCite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 1498.35456) Full Text: DOI arXiv
Yang, Wenhua; Zhou, Jun Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. (English) Zbl 1500.37045 Adv. Nonlinear Anal. 11, 993-1029 (2022). Reviewer: Nelson Vieira (Aveiro) MSC: 37L30 37L15 37L65 35B40 35B41 35R11 26A33 PDFBibTeX XMLCite \textit{W. Yang} and \textit{J. Zhou}, Adv. Nonlinear Anal. 11, 993--1029 (2022; Zbl 1500.37045) Full Text: DOI
Li, Xinyue; Han, Guangfu; Zhao, Qiulan Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 1491.35394 Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022). MSC: 35Q51 35Q55 37K10 37K35 35B35 35C08 41A58 78A60 PDFBibTeX XMLCite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022; Zbl 1491.35394) 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
Ji, Shu Guan; Li, Xiao Wan Solitary wave solutions of delayed coupled Higgs field equation. (English) Zbl 1482.35173 Acta Math. Sin., Engl. Ser. 38, No. 1, 97-106 (2022). MSC: 35Q35 35L05 74J30 34D15 35C08 76B25 47A13 35B25 37C29 81V25 PDFBibTeX XMLCite \textit{S. G. Ji} and \textit{X. W. Li}, Acta Math. Sin., Engl. Ser. 38, No. 1, 97--106 (2022; Zbl 1482.35173) Full Text: DOI
Zhang, Xue; Wang, Lei; Chen, Wei-Qin; Yao, Xue-Min; Wang, Xin; Zhao, Yin-Chuan Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms. (English) Zbl 1497.35396 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022). MSC: 35Q35 35Q53 35C08 76B25 37K35 37K40 PDFBibTeX XMLCite \textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022; Zbl 1497.35396) Full Text: DOI
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. (English) Zbl 1497.35440 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022). MSC: 35Q55 35Q53 35C08 35C09 37K35 68T07 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022; Zbl 1497.35440) Full Text: DOI arXiv
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Ill-posedness for the Camassa-Holm and related equations in Besov spaces. (English) Zbl 1477.35170 J. Differ. Equations 306, 403-417 (2022). MSC: 35Q35 35Q53 76B15 37K10 46E35 35R25 PDFBibTeX XMLCite \textit{J. Li} et al., J. Differ. Equations 306, 403--417 (2022; Zbl 1477.35170) Full Text: DOI arXiv
Zhao, Xin; Tian, Bo; Tian, He-Yuan; Yang, Dan-Yu Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. (English) Zbl 1517.37074 Nonlinear Dyn. 103, No. 2, 1785-1794 (2021). MSC: 37K35 35Q51 78A60 PDFBibTeX XMLCite \textit{X. Zhao} et al., Nonlinear Dyn. 103, No. 2, 1785--1794 (2021; Zbl 1517.37074) Full Text: DOI
Çankal, Pelin Doğan; Yaşar, Emrullah Optical soliton solutions to a \((2+1)\) dimensional Schrödinger equation using a couple of integration architectures. (English) Zbl 1514.35089 Appl. Math. Nonlinear Sci. 6, No. 1, 381-396 (2021). MSC: 35C08 35Q53 37K40 PDFBibTeX XMLCite \textit{P. D. Çankal} and \textit{E. Yaşar}, Appl. Math. Nonlinear Sci. 6, No. 1, 381--396 (2021; Zbl 1514.35089) Full Text: DOI
Beklaryan, Levon A.; Beklaryan, Armen L. Existence of bounded soliton solutions for a finite difference analogue of the wave equation with a nonlinear potential of general form. (English) Zbl 1523.39011 Olenev, Nicholas N. (ed.) et al., Optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13078, 165-175 (2021). MSC: 39A36 39A14 39A12 37K40 35C08 PDFBibTeX XMLCite \textit{L. A. Beklaryan} and \textit{A. L. Beklaryan}, Lect. Notes Comput. Sci. 13078, 165--175 (2021; Zbl 1523.39011) Full Text: DOI
Baleanu, Dumitru; Hosseini, Kamyar; Salahshour, Soheil; Sadri, Khadijeh; Mirzazadeh, Mohammad; Park, Choonkil; Ahmadian, Ali The (2+1)-dimensional hyperbolic nonlinear Schrödinger equation and its optical solitons. (English) Zbl 1525.37078 AIMS Math. 6, No. 9, 9568-9581 (2021). MSC: 37K40 35C08 35Q60 35Q55 PDFBibTeX XMLCite \textit{D. Baleanu} et al., AIMS Math. 6, No. 9, 9568--9581 (2021; Zbl 1525.37078) Full Text: DOI
Ngoc, Le Thi Phuong; Son, Le Huu Ky; Long, Nguyen Thanh Existence, blow-up and exponential decay estimates for the nonlinear Kirchhoff-Carrier wave equation in an annular with Robin-Dirichlet conditions. (English) Zbl 1485.35057 Kyungpook Math. J. 61, No. 4, 859-888 (2021). MSC: 35B40 35B44 35L20 35L72 35Q74 37B25 PDFBibTeX XMLCite \textit{L. T. P. Ngoc} et al., Kyungpook Math. J. 61, No. 4, 859--888 (2021; Zbl 1485.35057) Full Text: DOI
Guidad, Derradji; Zennir, Khaled; Berkane, Abdelhak; Berbiche, Mohamed The effect of damping terms on decay rate for system of three nonlinear wave equations with weak-memories. (English) Zbl 1492.37069 Discontin. Nonlinearity Complex. 10, No. 4, 635-647 (2021). MSC: 37L65 35L05 76A10 PDFBibTeX XMLCite \textit{D. Guidad} et al., Discontin. Nonlinearity Complex. 10, No. 4, 635--647 (2021; Zbl 1492.37069) Full Text: DOI
Ao, Weiwei; Huang, Yehui; Liu, Yong; Wei, Juncheng Generalized Adler-Moser polynomials and multiple vortex rings for the Gross-Pitaevskii equation. (English) Zbl 1483.35194 SIAM J. Math. Anal. 53, No. 6, 6959-6992 (2021). MSC: 35Q55 35C07 37K35 PDFBibTeX XMLCite \textit{W. Ao} et al., SIAM J. Math. Anal. 53, No. 6, 6959--6992 (2021; Zbl 1483.35194) Full Text: DOI arXiv
Chen, Cheng; Wang, Zuolei New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation. (English) Zbl 1493.35075 Adv. Math. Phys. 2021, Article ID 8409615, 13 p. (2021). MSC: 35Q35 76B15 35C07 37K35 PDFBibTeX XMLCite \textit{C. Chen} and \textit{Z. Wang}, Adv. Math. Phys. 2021, Article ID 8409615, 13 p. (2021; Zbl 1493.35075) Full Text: DOI
Chang, Ningning; Geng, Jiansheng; Lou, Zhaowei Bounded non-response solutions with Liouvillean forced frequencies for nonlinear wave equations. (English) Zbl 1500.35014 J. Dyn. Differ. Equations 33, No. 4, 2009-2046 (2021). MSC: 35B10 35L20 35L71 37K55 PDFBibTeX XMLCite \textit{N. Chang} et al., J. Dyn. Differ. Equations 33, No. 4, 2009--2046 (2021; Zbl 1500.35014) Full Text: DOI
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
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga High-frequency instabilities of the Kawahara equation: a perturbative approach. (English) Zbl 1478.35072 SIAM J. Appl. Dyn. Syst. 20, No. 3, 1571-1595 (2021). MSC: 35C07 35B35 35G25 37K45 34L05 PDFBibTeX XMLCite \textit{R. Creedon} et al., SIAM J. Appl. Dyn. Syst. 20, No. 3, 1571--1595 (2021; Zbl 1478.35072) Full Text: DOI arXiv
Tchakoutio Nguetcho, Aurélien Serge; Nkeumaleu, Guy Merlin; Bilbault, Jean Marie Anharmonic effects on the dynamic behavior’s of Klein Gordon model’s. (English) Zbl 1510.35275 Appl. Math. Comput. 403, Article ID 126136, 15 p. (2021). MSC: 35Q53 37K60 35C08 PDFBibTeX XMLCite \textit{A. S. Tchakoutio Nguetcho} et al., Appl. Math. Comput. 403, Article ID 126136, 15 p. (2021; Zbl 1510.35275) Full Text: DOI
Banaśkiewicz, Jakub; Kalita, Piotr Convergence of non-autonomous attractors for subquintic weakly damped wave equation. (English) Zbl 1482.37084 Appl. Math. Optim. 84, Suppl. 1, S943-S978 (2021). MSC: 37L65 37L30 PDFBibTeX XMLCite \textit{J. Banaśkiewicz} and \textit{P. Kalita}, Appl. Math. Optim. 84, S943--S978 (2021; Zbl 1482.37084) Full Text: DOI arXiv
Ma, Li-Yuan; Zhang, Yan-Li; Tang, Li; Shen, Shou-Feng New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation. (English) Zbl 1479.35811 Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021). MSC: 35Q55 35Q41 35C08 35C07 37K10 37K35 35G20 PDFBibTeX XMLCite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021; Zbl 1479.35811) Full Text: DOI
Liu, Ya-Hui; Guo, Rui; Li, Xing-Lan Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation. (English) Zbl 1479.35808 Appl. Math. Lett. 121, Article ID 107450, 8 p. (2021). MSC: 35Q55 35Q41 35C08 37K35 76B15 PDFBibTeX XMLCite \textit{Y.-H. Liu} et al., Appl. Math. Lett. 121, Article ID 107450, 8 p. (2021; Zbl 1479.35808) Full Text: DOI
Liu, De-Yin; Yu, Hui Min Mixed localized wave solutions of the Hirota equation. (English) Zbl 1479.35804 Appl. Math. Lett. 118, Article ID 107154, 7 p. (2021). MSC: 35Q55 35Q41 35C08 37K35 37K40 PDFBibTeX XMLCite \textit{D.-Y. Liu} and \textit{H. M. Yu}, Appl. Math. Lett. 118, Article ID 107154, 7 p. (2021; Zbl 1479.35804) Full Text: DOI