Pasquali, Stefano Energy cascade for the Klein-Gordon lattice. (English) Zbl 07978230 Discrete Contin. Dyn. Syst. 45, No. 6, 1823-1869 (2025). MSC: 37K55 37K60 70H08 70K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rialland, Guillaume Asymptotic stability of solitons for near-cubic NLS equation with an internal mode. (English) Zbl 07978221 Discrete Contin. Dyn. Syst. 45, No. 5, 1591-1652 (2025). MSC: 35Q55 35B35 35B40 35B20 35G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Youde; Zhang, Aiqi; Zhao, Hongxing Gradient estimates and Liouville theorems for a class of elliptic equation on Riemannian manifolds. (English) Zbl 07978197 Commun. Pure Appl. Anal. 24, No. 5, 840-867 (2025). MSC: 35Q56 35Q55 35Q41 35Q35 35Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Eldidamony, Hanaa A.; Arnous, Ahmed H.; Mirzazadeh, Mohammad; Hashemi, Mir Sajjad; Bayram, Mustafa Comparative approaches to solving the \((2+1)\)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing. (English) Zbl 07977994 Nonlinear Anal., Model. Control 30, No. 1, 83-107 (2025). MSC: 35Q55 35Cxx 93Cxx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI Link
Dinh, Van Duong; Esfahani, Amin A system of inhomogeneous NLS arising in optical media with a \(\chi^{(2)}\) nonlinearity. I: Dynamics. (English) Zbl 07977857 Commun. Pure Appl. Anal. 24, No. 4, 584-625 (2025). MSC: 35Q55 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Mingming; Su, Xiaoyan; Zheng, Jiqiang Growth of Sobolev norms for 2D cubic NLS with partial harmonic potential. (English) Zbl 07977845 Commun. Pure Appl. Anal. 24, No. 3, 314-337 (2025). MSC: 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yaoyao; Liu, Ying; Wang, Hao Time-space adaptive finite element method for nonlinear Schrödinger equation. (English) Zbl 07976956 Adv. Appl. Math. Mech. 17, No. 1, 207-223 (2025). MSC: 65N15 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ting Large energy bubble solutions for supercritical higher-order Schrödinger equation with competing potentials. (English) Zbl 07975310 Z. Angew. Math. Phys. 76, No. 1, Paper No. 38, 23 p. (2025). MSC: 35J60 35J91 65N80 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Engui; Li, Gaozhan; Yang, Yiling On \(L^2\)-orbital stability of Hasimoto soliton solutions for the Hirota equation on the line. (English) Zbl 07975157 J. Differ. Equations 421, 104-126 (2025). MSC: 35Q51 35Q55 37K10 37K45 × Cite Format Result Cite Review PDF Full Text: DOI
Gkikas, Konstantinos T.; Paschalis, Miltiadis Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities. (English) Zbl 07974591 NoDEA, Nonlinear Differ. Equ. Appl. 32, No. 1, Paper No. 13, 43 p. (2025). MSC: 35J10 35J25 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yanjie; Liu, Feng; Wu, Faguo; Zhang, Xiao Navigating PINNs via maximum residual-based continuous distribution. (English) Zbl 07973468 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108460, 19 p. (2025). MSC: 65M99 68T07 62D05 49K35 35K57 35Q55 35J05 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chunqiu; Wang, Jintao Bifurcation from infinity of the Schrödinger equation via invariant manifolds. II: Higher multiplicity. (English) Zbl 07971718 Result. Math. 80, No. 1, Paper No. 24, 19 p. (2025). MSC: 37B30 35B32 35K55 58J55 × Cite Format Result Cite Review PDF Full Text: DOI
Bamri, Chourouk Asymptotic behavior for a dissipative nonlinear Schrödinger equation with time-dependent damping. (English) Zbl 07969368 Bol. Soc. Mat. Mex., III. Ser. 31, No. 1, Paper No. 23, 36 p. (2025). MSC: 35Q55 35Q41 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ling; Song, Huailing; Yi, Wenfan Improved uniform error bounds on a Lawson-type exponential integrator method for long-time dynamics of the nonlinear double sine-Gordon equation. (English) Zbl 07969170 J. Sci. Comput. 102, No. 1, Paper No. 25, 30 p. (2025). MSC: 65M70 65M12 65M15 35C08 35B05 35B65 41A58 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Hu, Hanzhang Two-grid finite element methods for space-fractional nonlinear Schrödinger equations. (English) Zbl 07968681 J. Comput. Appl. Math. 459, Article ID 116370, 14 p. (2025). MSC: 65M60 65M06 65N30 65M55 65H10 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Jianbo Explicit approximation for stochastic nonlinear Schrödinger equation. (English) Zbl 07968326 J. Differ. Equations 419, 1-39 (2025). MSC: 60H35 60H15 35R60 35Q55 65C30 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Segata, Jun-ichi Asymptotic behavior in time of solution for the cubic nonlinear Schrödinger equation on the tadpole graph. (English) Zbl 07967934 J. Differ. Equations 416, Part 3, 1977-1999 (2025). MSC: 35Q55 35B40 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yanyan; Zhao, Leiga Normalized solutions for Schrödinger equations with general nonlinearities on bounded domains. (English) Zbl 07965952 J. Geom. Anal. 35, No. 2, Paper No. 54, 32 p. (2025). MSC: 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Pierotti, Dario; Verzini, Gianmaria; Yu, Junwei Normalized solutions for Sobolev critical Schrödinger equations on bounded domains. (English) Zbl 07965650 SIAM J. Math. Anal. 57, No. 1, 262-285 (2025). MSC: 35J10 35Q55 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardoso, Wesley B. Alternative split-step method for solving linearly coupled nonlinear Schrödinger equations. (English) Zbl 07964644 Comput. Phys. Commun. 307, Article ID 109414, 10 p. (2025). MSC: 65-XX 78-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jun; Yin, Zhaoyang Multi-bump solutions for the nonlinear magnetic Schrödinger equation with logarithmic nonlinearity. (English) Zbl 07964168 Math. Nachr. 298, No. 1, 328-355 (2025). MSC: 35J10 35Q55 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Killip, Rowan; Murphy, Jason; Visan, Monica Determination of Schrödinger nonlinearities from the scattering map. (English) Zbl 07964144 Nonlinearity 38, No. 1, Article ID 015021, 20 p. (2025). MSC: 35J10 35Q55 35P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boni, Filippo; Dovetta, Simone; Serra, Enrico Normalized ground states for Schrödinger equations on metric graphs with nonlinear point defects. (English) Zbl 07962981 J. Funct. Anal. 288, No. 4, Article ID 110760, 40 p. (2025). MSC: 35Q55 35J10 05C12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chrifi, Abderrazak; Abounouh, Mostafa; Al Moatassime, Hassan Numerical study of the one-dimensional damped and forced Dirac nonlinear Schrödinger equation with artificial boundary conditions. (English) Zbl 07962682 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 269-295 (2025). MSC: 35Q55 65M22 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xin-Yu; Guo, Rui The Riemann-Hilbert approach for the nonlocal derivative nonlinear Schrödinger equation with nonzero boundary conditions. (English) Zbl 07962320 Z. Angew. Math. Phys. 76, No. 1, Paper No. 9, 21 p. (2025). MSC: 35Q55 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Himonas, A. Alexandrou; Yan, Fangchi A higher-order quadratic NLS equation on the half-line. (English) Zbl 07961656 J. Evol. Equ. 25, No. 1, Paper No. 8, 67 p. (2025). MSC: 35Q55 35G31 35G16 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xinyan; Li, Xiaoguang; Zhang, Li Existence and stability of standing waves for a class of inhomogeneous nonlinear Schrödinger equations with \(L^2\)-critical nonlinearity. (English) Zbl 07961627 Result. Math. 80, No. 1, Paper No. 13, 14 p. (2025). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Mingjuan; Liu, Nan; Wang, Yaqing Well-posedness of the Cauchy problem for the fourth-order nonlinear Schrödinger equation. (English) Zbl 07961480 Appl. Math. Lett. 160, Article ID 109340, 6 p. (2025). MSC: 35Qxx 35Bxx 35Axx × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Peng; Tang, Xianhua Normalized solutions for \(L^2\)-supercritical Schrödinger equations. (English) Zbl 07961469 Appl. Math. Lett. 160, Article ID 109329, 6 p. (2025). MSC: 35J10 35Q55 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Su-Su Multi-geometric discrete spectral problem with several pairs of zeros for Sasa-Satsuma equation. (English) Zbl 07961447 Appl. Math. Lett. 160, Article ID 109307, 6 p. (2025). MSC: 35Q55 35Q41 35Q15 35C08 37K10 37K15 37K35 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Feng; Xin, Xiangpeng; Han, Pengfei; Zhang, Yi \(\overline{\partial}\)-dressing approach and \(N\)-soliton solutions of the general reverse-space nonlocal nonlinear Schrödinger equation. (English) Zbl 07961441 Appl. Math. Lett. 160, Article ID 109293, 7 p. (2025). MSC: 35Q55 35Q41 35Q15 35Q82 35C08 37K10 37K15 82D40 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Zhe-Yong; Tian, Shou-Fu Stability of elliptic solutions for the Hirota equation. (English) Zbl 07960825 Z. Angew. Math. Phys. 76, No. 1, Paper No. 2, 22 p. (2025). MSC: 35Q51 35Q55 35Q53 37K45 37K10 33E05 35C08 35B20 35B35 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruomeng; Geng, Jingru; Geng, Xianguo Breather and rogue-wave solutions of the semi-discrete and continuous nonlinear Schrödinger equations on theta-function backgrounds. (English) Zbl 07959772 Nonlinearity 38, No. 1, Article ID 015012, 29 p. (2025). MSC: 35Q55 35Q41 35C08 35C05 14H42 14H70 37J70 37K60 37K35 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Benniao; Long, Wei; Yang, Jianfu Infinitely many new solutions for singularly perturbed Schrödinger equations. (English) Zbl 07959768 Nonlinearity 38, No. 1, Article ID 015008, 23 p. (2025). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lv, Xianli; Feng, Xiufang A kind regularization method for solving Cauchy problem of the Schrödinger equation. (English) Zbl 07958791 J. Comput. Appl. Math. 457, Article ID 116206, 14 p. (2025). MSC: 65M32 65M30 65M38 65J20 65T50 65M12 65M15 35R30 35R25 35B45 35B65 35A01 35A02 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Giuliani, Filippo Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori. (English) Zbl 07957280 J. Differ. Equations 416, Part 1, 1-27 (2025). MSC: 35Q55 35Q41 35B65 35B35 35A01 35R01 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Georgiev, Vladimir; Rastrelli, Mario Sobolev spaces for singular perturbation of 2D Laplace operator. (English) Zbl 07955762 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113710, 24 p. (2025). MSC: 46E35 47A60 81Q15 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clapp, Mónica; Hernández-Santamaría, Víctor; Saldaña, Alberto Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction. (English) Zbl 07955742 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113680, 15 p. (2025). MSC: 35J61 35J10 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Chu-hee; Shiraki, Shobu Dimension of divergence sets of oscillatory integrals with concave phase. (English) Zbl 07955042 J. Geom. Anal. 35, No. 1, Paper No. 21, 18 p. (2025). MSC: 35Q41 35Q55 26A33 35R11 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Sitao; Liu, Lin; Ge, Zhixia; Liu, Yu; Feng, Libo; Wang, Jihong Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions. (English) Zbl 07954724 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108407, 17 p. (2025). MSC: 65M06 65N06 65M12 65T50 44A10 26A33 35R11 81Q05 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Renjie; Xu, Yezi; Fu, Hao; Yan, Dong Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation. (English) Zbl 07954717 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108400, 15 p. (2025). MSC: 65M06 65N06 65P10 37M15 35C08 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Jia, Xu; Yang, Jinjin Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity. (English) Zbl 07954701 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108383, 14 p. (2025). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Chao; Liang, Yong; Zou, Min; Lei, Tong; Liu, Mingwei The control for multiple kinds of solitons generated in the nonlinear fractional Schrödinger optical system based on Hermite-Gaussian beams. (English) Zbl 07954693 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108375, 19 p. (2025). MSC: 35Q55 35Q60 78A60 26A33 35R11 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Carvajal, X.; Gamboa, P.; Santos, R. Global well-posedness for the higher order non-linear Schrödinger equation in modulation spaces. (English) Zbl 07954263 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128985, 20 p. (2025). MSC: 35Q55 35Q41 35Q53 35G25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Kawakami, Jumpei Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity. (English) Zbl 07954249 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128932, 52 p. (2025). MSC: 35Q55 35Q41 35B44 35P25 35B20 35B40 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Boling; Guo, Hui; Wang, Tao Positive multi-bump solutions for the Schrödinger equation with slow decaying competing potentials. (English) Zbl 07954238 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128904, 15 p. (2025). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Teng; Ma, Ying Optimal error bounds of the time-splitting sine-pseudospectral method for the biharmonic nonlinear Schrödinger equation. (English) Zbl 07952197 Appl. Numer. Math. 207, 414-430 (2025). MSC: 65M70 35Q55 35Q41 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Zixuan; Xu, Zhenli; Yang, Zhiguo Reduced projection method for photonic moiré lattices. (English) Zbl 07951584 J. Sci. Comput. 102, No. 1, Paper No. 8, 22 p. (2025). MSC: 65N35 65N25 65N22 65F10 65N12 65N15 35J10 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iyer, Vishnu; Stefanov, Atanas G. Solitary waves for the power degenerate NLS – existence and stability. (English) Zbl 07950587 Calc. Var. Partial Differ. Equ. 64, No. 1, Paper No. 19, 33 p. (2025). MSC: 35Q55 35Q40 35Q41 35Q51 35B35 35C08 35A01 35A23 35B65 35B09 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Long-Jiang; Zhou, Huan-Song Infinitely many solutions for a Schrödinger equation with sign-changing potential and nonlinear term. (English) Zbl 07948494 Commun. Pure Appl. Anal. 24, No. 1, 15-35 (2025). MSC: 35J61 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komada, Koichi; Masaki, Satoshi Scattering for the focusing, \(L^2\)-supercritical fourth-order NLS in one dimension. (English) Zbl 07946840 Discrete Contin. Dyn. Syst. 45, No. 2, 480-510 (2025). MSC: 35Q55 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jingru; Wang, Gangwei Similarity transformations and exact solutions of the \((3 + 1)\)-Dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients. (English) Zbl 07927830 Appl. Math. Lett. 159, Article ID 109286, 7 p. (2025). MSC: 35Q55 35Q41 35C05 35C08 35B10 35A30 × Cite Format Result Cite Review PDF Full Text: DOI
Xue, Lianpeng; Zhang, Qifeng; Matus, P. P. Error estimate of the conservative difference scheme for the derivative nonlinear Schrödinger equation. (English) Zbl 07927827 Appl. Math. Lett. 159, Article ID 109283, 8 p. (2025). MSC: 35Q55 35Q41 65M06 65L06 65M12 65M15 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Panpan; Feng, Xiufang; He, Shangqin Lie symmetry reduction for \((2+1)\)-dimensional fractional Schrödinger equation. (English) Zbl 07925060 J. Appl. Anal. Comput. 15, No. 1, 502-516 (2025). Reviewer: Takao Imai (Chiba) MSC: 35Q55 35Q41 34K37 35A24 35B06 26A33 35R11 22E60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Mao; Zhang, Jian On the blowup for the generalized Hartree equations. (English) Zbl 07923051 Discrete Contin. Dyn. Syst., Ser. B 30, No. 1, 330-341 (2025). MSC: 35Q55 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zuyi; Hu, Beibei; Zhang, Ling; Fang, Fang The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem. (English) Zbl 07922171 J. Math. Anal. Appl. 541, No. 1, Article ID 128681, 19 p. (2025). MSC: 35Q55 35Q41 35Q15 37K10 37K15 37K35 45D05 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zaizheng; Luo, Haijun; Zhang, Zhitao Blow-up profile of normalized solutions for fractional nonlinear Schrödinger equation with negative potentials. (English) Zbl 1547.35733 Discrete Contin. Dyn. Syst. 45, No. 1, 160-188 (2025). MSC: 35R11 35B40 35B44 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Filho, Antônio de Pádua Farias de Souza Nehari-type ground state solutions for asymptotically periodic bi-harmonic Kirchhoff-type problems in \(\mathbb{R}^N\). arXiv:2501.11693 Preprint, arXiv:2501.11693 [math.AP] (2025). MSC: 35G20 35J10 35J30 35J35 × Cite Format Result Cite Full Text: arXiv
Cárdenas, Esteban; Lafleche, Laurent Commutator Estimates and Quantitative Local Weyl’s Law for Schödinger Operators with Non-Smooth Potentials. arXiv:2501.01381 Preprint, arXiv:2501.01381 [math-ph] (2025). MSC: 35J10 81S30 47B47 47B15 47B10 35P30 × Cite Format Result Cite Full Text: arXiv
Saanouni, Tarek; Ben Boubaker, Mohamed Amine Inhomogeneous generalized Hartree equation with inverse square potential. (English) Zbl 07980272 S\(\vec{\text{e}}\)MA J. 81, No. 4, 679-706 (2024). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Lingyu; Wei, Suting A global compactness result for quasilinear elliptic problems with critical Sobolev nonlinearities and Hardy potentials on \(\mathbb{R}^N\). (English) Zbl 07978355 Electron. J. Differ. Equ. 2024, Paper No. 79, 23 p. (2024). MSC: 35J10 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Wei; Wang, Weimin Uniform convergence of the one-dimensional cubic Schrödinger equation. (English) Zbl 07976488 Appl. Anal. 103, No. 18, 3374-3381 (2024). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Malloug, Mohamed Exponential decay for the cubic Schrödinger equation on a dissipative waveguide. (English) Zbl 07976457 Appl. Anal. 103, No. 15, 2759-2776 (2024). MSC: 35Q55 81Q37 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Mingming; Wang, Ying Global well-posedness and scattering for the coupled NLS in critical spaces. (English) Zbl 07976456 Appl. Anal. 103, No. 15, 2728-2758 (2024). MSC: 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xiaoqi; Kang, Jincai; Tang, Chunlei Remarks on the Berestycki-Lions conditions for the existence of solutions. (English) Zbl 07974846 Front. Math. (Beijing) 19, No. 4, 599-608 (2024). MSC: 35J47 35J60 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Gui Xian; Wang, Xiu Bin; Han, Bo On the inverse scattering transform to the discrete Hirota equation with nonzero boundary conditions. (Chinese. English summary) Zbl 07974352 Acta Math. Sin., Chin. Ser. 67, No. 6, 1049-1076 (2024). MSC: 35C08 35Q15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Xiaodan; Wang, Lei The coupled Hirota equations with a \(3\times 3\) Lax pair: Painlevé-type asymptotics in transition zone Lax pair: Painlevé-type asymptotics in transition zone. (English) Zbl 07974194 Stud. Appl. Math. 153, No. 3, Article ID e12745, 24 p. (2024). MSC: 35Q15 35Q51 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Asadzadeh, Mohammad; Zouraris, Georgios E. On the convergence of a linearly implicit finite element method for the nonlinear Schrödinger equation. (English) Zbl 07974192 Stud. Appl. Math. 153, No. 3, Article ID e12743, 34 p. (2024). MSC: 65-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Döding, Christian; Henning, Patrick; Wärnegård, Johan A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition. (English) Zbl 07971357 ESAIM, Math. Model. Numer. Anal. 58, No. 6, 2317-2349 (2024). MSC: 35Q55 65M60 65M15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Baoling; Zhang, Deli; Liang, Sihua On Kirchhoff-Schrödinger-Poisson-type systems with singular and critical nonlinearity. (English) Zbl 07971343 Adv. Nonlinear Anal. 13, Article ID 20240050, 26 p. (2024). MSC: 35J20 35R03 35J60 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Attia, Raghda A. M.; Alfalqi, Suleman H.; Alzaidi, Jameel F.; Khater, Mostafa M. A. Analytical and numerical solutions to the generalized Schrödinger equation with fourth-order dispersion and nonlinearity. (English) Zbl 07969121 Int. J. Geom. Methods Mod. Phys. 21, No. 14, Article ID 2450247, 24 p. (2024). MSC: 35Q55 35C08 65T50 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Khasanov, Muzaffar Masharidovich; Rakhimov, Ilkhom Davronbekovich; Azimov, Doniër Bakhrom ugli Integration of the loaded negative order nonlinear Schrödinger equation in the class of periodic functions. (Integration of the loaded negative order nonlinear Schrodinger equation in the class of periodic functions.) (English) Zbl 07967578 Izv. Irkutsk. Gos. Univ., Ser. Mat. 50, 51-65 (2024). MSC: 35Q55 35P25 35P30 35Q51 35Q53 37K15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Albert, John; Arbunich, Jack Stability of bound states for regularized nonlinear Schrödinger equations. (English) Zbl 07966134 Stud. Appl. Math. 153, No. 4, Article ID e12780, 37 p. (2024). MSC: 81-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Athanassoulis, Agissilaos; Katsaounis, Theodoros; Kyza, Irene Efficient numerical approximations for a nonconservative nonlinear Schrödinger equation appearing in wind-forced ocean waves. (English) Zbl 07966128 Stud. Appl. Math. 153, No. 4, Article ID e12774, 22 p. (2024). MSC: 65-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hogan, James; Kowalski, Matthew Turbulent threshold for continuum Calogero-Moser models. (English) Zbl 07965855 Pure Appl. Anal. 6, No. 4, 941-954 (2024). MSC: 35Q55 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vuoksenmaa, Aleksis Dynamics of the infinite discrete nonlinear Schrödinger equation. (English) Zbl 07965306 J. Stat. Phys. 191, No. 12, Paper No. 160, 20 p. (2024). MSC: 35Qxx 81Qxx 82Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soluki, M.; Afrouzi, G. A.; Rasouli, S. H. Existence of non-trivial solutions to a class of fractional \(p\)-Laplacian equations of Schrödinger-type with a combined nonlinearity. (English) Zbl 07965060 J. Anal. 32, No. 5, 2847-2856 (2024). MSC: 35J10 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Kudryashov, Nikolay A.; Nifontov, Daniil R.; Biswas, Anjan Conservation laws for a perturbed resonant nonlinear Schrödinger equation in quantum fluid dynamics and quantum optics. (English) Zbl 07964187 Phys. Lett., A 528, Article ID 130037, 5 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Raees, Nida; Mahmood, Irfan; Hussain, Ejaz; Younas, Usman; Elansary, Hosam O.; Mumtaz, Sohail Dynamics of optical solitons and sensitivity analysis in fiber optics. (English) Zbl 07964182 Phys. Lett., A 528, Article ID 130031, 11 p. (2024). MSC: 81-XX 82-XX 39B62 33B10 26A48 26A51 × Cite Format Result Cite Review PDF Full Text: DOI
Dujardin, Guillaume; Lacroix-Violet, Ingrid High order linearly implicit methods for semilinear evolution PDEs. (English) Zbl 07963393 SMAI J. Comput. Math. 10, 325-354 (2024). MSC: 65M70 65L06 65L20 65N06 65M12 65M22 35K05 35K58 35G05 35A24 35Q79 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dongfang; Li, Xiaoxi Multiple relaxation exponential Runge-Kutta methods for the nonlinear Schrödinger equation. (English) Zbl 07963013 SIAM J. Numer. Anal. 62, No. 6, 2719-2744 (2024). MSC: 65M70 65L06 65N06 65M20 65M12 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ming; Li, Nan Painlevé analysis and soliton solutions for an inhomogeneous Heisenberg ferromagnetic system. (English) Zbl 07961686 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 80, 19 p. (2024). MSC: 35-XX 78-XX × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Yinbin; Liu, Chenchen; Yang, Xian Nodal solutions for a zero-mass Chern-Simons-Schrödinger equation. (English) Zbl 07960699 Adv. Nonlinear Anal. 13, Article ID 20240055, 21 p. (2024). MSC: 35J20 35Q55 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Yonggeun; Yang, Changhun Scattering for the Dirac-Klein-Gordon system with pseudoscalar source and resonant interaction. (English) Zbl 07960143 Bull. Korean Math. Soc. 61, No. 5, 1301-1337 (2024). MSC: 35Q55 35Q41 35Q40 35P25 35B65 42B37 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Abhijit; Ketcheson, David I. Accurate solution of the nonlinear Schrödinger equation via conservative multiple-relaxation ImEx methods. (English) Zbl 07959778 SIAM J. Sci. Comput. 46, No. 6, A3827-A3848 (2024). MSC: 65M70 65M60 65M06 65L06 65N35 65N30 35C08 35Q55 35Q41 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Lin The existence and multiplicity of normalized solutions for Kirchhoff equations in defocusing case. (English) Zbl 07959285 Anal. Theory Appl. 40, No. 2, 191-207 (2024). MSC: 35B08 35J47 35P30 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Mun, HakBom; An, JinMyong; Kim, JinMyong The Cauchy problem for the fractional nonlinear Schrödinger equation in Sobolev space. (English) Zbl 07958081 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 3, 278-293 (2024). MSC: 35Q55 35Q41 35B65 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Mei Na; Liu, Jian Jun A degenerate KAM theorem for partial differential equations with unbounded perturbations. (English) Zbl 07957751 Acta Math. Sin., Engl. Ser. 40, No. 11, 2719-2734 (2024). MSC: 37K55 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Van Duong Dinh The 3D nonlinear Schrödinger equation with a constant magnetic field revisited. (English) Zbl 07957692 J. Dyn. Differ. Equations 36, No. 4, 3643-3686 (2024). MSC: 35Q55 35Q41 35A01 35B44 35B35 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajaiej, Hichem; Luo, Tingjian; Wang, Ying Scattering and minimization theory for cubic inhomogeneous Nls with inverse square potential. (English) Zbl 07957685 J. Dyn. Differ. Equations 36, No. 4, 3457-3480 (2024). MSC: 35Q55 35Q41 35P25 35B44 47J35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qi; Zhang, Lu An ultraweak-local discontinuous Galerkin method for nonlinear biharmonic Schrödinger equations. (English) Zbl 07957224 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1725-1754 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 31A30 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Pineau, Ben; Taylor, Mitchell A. Low regularity solutions for the general quasilinear ultrahyperbolic Schrödinger equation. (English) Zbl 07956420 Arch. Ration. Mech. Anal. 248, No. 6, Paper No. 122, 67 p. (2024). MSC: 35Q55 35Q41 35A01 35A02 35B30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Xing; Guo, Chang-Yu; Guo, Zihua; Liao, Xian; Shen, Jia Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials. (English) Zbl 07955797 Anal. PDE 17, No. 10, 3371-3446 (2024). MSC: 35Q55 35Q41 35P25 35B40 35B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Wenzhuo; Shi, Ying; Zhao, Junxiao Stochastic soliton and rogue wave solutions of the nonlinear Schrödinger equation with white Gaussian noise. (English) Zbl 07955402 Phys. Lett., A 526, Article ID 129957, 12 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Lei, Ling; Tian, Shou-Fu; Zhang, Xiao-Fan Riemann-Hilbert problem and soliton solutions with their asymptotic analysis for the focusing nonlocal Hirota equation with step-like initial data. (English) Zbl 07955372 Physica D 470, Part A, Article ID 134413, 10 p. (2024). MSC: 35Q15 35Q55 35Q51 35C08 35B40 35A21 37K10 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
dos Santos, Mateus C. P.; Cardoso, Wesley B.; Strunin, Dmitry V.; Malomed, Boris A. Spontaneous symmetry breaking and vortices in a tri-core nonlinear fractional waveguide. (English) Zbl 07955371 Physica D 470, Part A, Article ID 134412, 11 p. (2024). MSC: 81-XX 78-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Jeongho; Moon, Bora; Park, Jinyeong A kinetic description for the electromagnetic response of the charged particles to Chern-Simons gauge fields. (English) Zbl 07955368 Physica D 470, Part A, Article ID 134409, 10 p. (2024). MSC: 35Q83 35Q55 35Q31 35Q60 35Q40 81T13 81V70 78A35 35D35 35D30 35A01 35A02 82D55 × Cite Format Result Cite Review PDF Full Text: DOI
Manikandan, K.; Sakkaravarthi, K.; Sabari, S. Dispersion management and optical soliton engineering in nonuniform inhomogeneous \(\mathcal{PT} \)-symmetric nonlinear media. (English) Zbl 07955348 Physica D 470, Part A, Article ID 134388, 15 p. (2024). MSC: 35Q55 35Q60 35C08 35C05 78A60 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, QingShan; Zhang, Jian Whitham modulation theory and Riemann problem for the Kundu-Eckhaus equation. (English) Zbl 07955340 Physica D 470, Part A, Article ID 134380, 12 p. (2024). MSC: 35Q55 35Q41 35Q35 35Q15 35Q60 35C08 78A60 76L05 76P05 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Xing; Belić, Milivoj R.; Mihalache, Dumitru; Cao, Dewen; Zeng, Liangwei Centrosymmetric multipole solitons with fractional-order diffraction in two-dimensional parity-time-symmetric optical lattices. (English) Zbl 07955339 Physica D 470, Part A, Article ID 134379, 7 p. (2024). MSC: 81Qxx × Cite Format Result Cite Review PDF Full Text: DOI