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: 35Qxx 35Cxx 37Kxx × 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: 35Qxx 65Mxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Chuanwei; Meng, Fanfei; Xu, Chengbin; Zheng, Jiqiang Scattering theory for quadratic nonlinear Schrödinger system in dimension six. (English) Zbl 07922181 J. Math. Anal. Appl. 541, No. 1, Article ID 128708, 42 p. (2025). MSC: 35Qxx 35Bxx 35Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Jinxia; He, Xiaoming Normalized solutions for Schrödinger-Poisson type systems with critical nonlocal term. (English) Zbl 07941529 J. Geom. Anal. 34, No. 12, Paper No. 380, 37 p. (2024). MSC: 35A15 35B33 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Hassan, Saleh M.; Altwaty, Abdulmalik A. Solitons and other solutions to the extended Gerdjikov-Ivanov equation in DWDM system by the \(\exp (-\phi (\zeta))\)-expansion method. (English) Zbl 07941094 Ric. Mat. 73, No. 5, 2397-2410 (2024). MSC: 35Q51 35Q55 35Q60 35C05 35C08 35K55 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Shengbing; Huang, Ling; Zhang, Jianjun; Zhong, Xuexiu Normalized solutions for a coupled Schrödinger systems in \(\mathbb{R}^2\) with exponential critical growth: mass super-critical case. (English) Zbl 07938853 J. Differ. Equations 411, 349-380 (2024). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Cong, Hongzi; Shi, Yunfeng; Wu, Xiaoqing Long-time Anderson localization for the nonlinear random Schrödinger equation on \(\mathbb{Z}^d\). (English) Zbl 07937697 J. Stat. Phys. 191, No. 9, Paper No. 116, 24 p. (2024). MSC: 35Qxx 37Kxx 82Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Lixi; Jin, Peng Improved results on planar Klein-Gordon-Maxwell system with critical exponential growth. (English) Zbl 07936887 Adv. Nonlinear Anal. 13, Article ID 20240025, 19 p. (2024). MSC: 35J47 35Q55 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Onodera, Eiji Structure of a fourth-order dispersive flow equation through the generalized Hasimoto transformation. (English) Zbl 07931673 J. Geom. Anal. 34, No. 11, Paper No. 347, 55 p. (2024). MSC: 35A30 35G50 35Q35 53C21 53C35 53C56 53E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Qian; Wang, Qun; Chang, Xiaojun Normalized ground state solutions of Schrödinger-KdV system in \(\mathbb{R}^3\). (English) Zbl 07930182 Z. Angew. Math. Phys. 75, No. 6, Paper No. 197, 17 p. (2024). MSC: 35J47 35J10 35J61 35Q55 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duan, Lipeng; Luo, Xiao; Zhen, Maoding New vector solutions for the cubic nonlinear Schrödinger system. (English) Zbl 07930014 J. Anal. Math. 153, No. 1, 247-291 (2024). MSC: 35J47 35J61 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Sbai, Abdelaaziz; El Hadfi, Youssef; El Ouardy, Mounim Existence and regularity of positive solutions for Schrödinger-Maxwell system with singularity. (English) Zbl 07925607 Acta Appl. Math. 193, Paper No. 2, 17 p. (2024). MSC: 35J57 35J75 35A01 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giannoulis, Ioannis; Schmidt, Bernd; Schneider, Guido NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity. (English) Zbl 07920120 J. Math. Anal. Appl. 540, No. 2, Article ID 128625, 16 p. (2024). MSC: 35Q55 35Q41 35Q53 35B20 82C20 42A28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Yonghang; Liao, Menglan Nonexistence of asymptotically free solutions for nonlinear Schrödinger system. (English) Zbl 07919909 Commun. Anal. Mech. 16, No. 2, 293-306 (2024). MSC: 35Q55 35P25 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Saanouni, Tarek; Peng, Congming Scattering of an inhomogeneous coupled Schrödinger system in the conformal space. (English) Zbl 07912327 Analysis, München 44, No. 3, 191-207 (2024). MSC: 35Q55 35Q41 35B40 35B44 35P25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Qi, Zhenqi Linearized decoupled mass and energy conservation CN Galerkin FEM for the coupled nonlinear Schrödinger system. (English) Zbl 1544.65174 J. Sci. Comput. 100, No. 3, Paper No. 76, 35 p. (2024). MSC: 65M60 65M06 35Q55 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Figueira, Renata O.; Nogueira, Marcelo; Panthee, Mahendra Lower bounds on the radius of analyticity for a system of nonlinear quadratic interactions of the Schrödinger-type equations. (English) Zbl 07900952 Z. Angew. Math. Phys. 75, No. 4, Paper No. 136, 14 p. (2024). MSC: 35Q55 35Q41 35Q53 35Q35 35A20 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Yuping; Teng, Kaimin Vortex ground state solutions for electromagnetostatic Schrödinger-Maxwell system with critical exponent. (English) Zbl 07900002 Mediterr. J. Math. 21, No. 5, Paper No. 158, 24 p. (2024). MSC: 35Q61 35Q55 78A30 35B33 35A01 35A02 35D30 49J40 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Kelin; Di, Huafei Sharp thresholds of blowup and uniform bound for a Schrödinger system with second-order derivative-type and combined power-type nonlinearities. (English) Zbl 07899492 Stud. Appl. Math. 153, No. 1, Article ID e12687, 32 p. (2024). MSC: 35Q55 35Q41 78A60 35B44 35B40 35A01 35A02 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yan; Chen, Peng Ground state solutions for magnetic Schrödinger equations with polynomial growth. (English) Zbl 07888719 Adv. Nonlinear Anal. 13, Article ID 20240011, 35 p. (2024). MSC: 35J61 35Q55 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Feng; Geng, Fazhan; Yao, Lingxing Numerical solutions of Schrödinger-Boussinesq system by orthogonal spline collocation method. (English) Zbl 1541.65122 J. Comput. Appl. Math. 449, Article ID 115984, 17 p. (2024). MSC: 65M70 35Q55 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jian; Zhang, Ying An infinite sequence of localized semiclassical states for nonlinear Maxwell-Dirac system. (English) Zbl 1543.35188 J. Geom. Anal. 34, No. 9, Paper No. 277, 45 p. (2024). MSC: 35Q40 35Q60 35Q41 49J35 81R20 81Q10 78A35 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yun, Zhaoyang; Zhang, Zhitao Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings. (English) Zbl 07880445 Bound. Value Probl. 2024, Paper No. 25, 20 p. (2024). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Urazboev, Gaĭrat Urozalievich; Khasanov, Muzaffar Masharipovich; Ismoilov, Okhunzhon Bakhram ugli Integration of negative-order modified Korteweg-de Vries equation with an integral source. (Russian. English summary) Zbl 1543.35211 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 63, 80-90 (2024). MSC: 35Q53 35Q41 35P25 35P30 37K15 35R30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Segata, Jun-ichi Scattering for quantum Zakharov system in two space dimensions. (English) Zbl 1543.35223 Proc. Am. Math. Soc. 152, No. 8, 3367-3379 (2024). MSC: 35Q55 35Q41 35Q40 35L56 35P25 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Guanwei; Ma, Shiwang Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0. (English) Zbl 1542.35337 Anal. Math. Phys. 14, No. 4, Paper No. 78, 16 p. (2024). MSC: 35Q51 35Q55 39A12 39A70 35C08 35A01 78A60 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Guifen; Li, Yangrong; Wang, Fengling Random numerical stability of attractors for nonlinear Schrödinger equations on infinite lattices. (English) Zbl 1542.35057 Banach J. Math. Anal. 18, No. 3, Paper No. 35, 25 p. (2024). MSC: 35B40 35Q55 37L55 37L60 × Cite Format Result Cite Review PDF Full Text: DOI
Nina Mollisaca, Raul; Sepúlveda Cortés, Mauricio; Véjar Asem, Rodrigo; Vera Villagran, Octavio Gain of regularity for a coupled system of generalized nonlinear Schrödinger equations. (English) Zbl 07869345 Math. Methods Appl. Sci. 47, No. 7, 5618-5650 (2024). MSC: 35Q55 35B65 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saanouni, Tarek; Ghanmi, Radhia Coupled inhomogeneous nonlinear Schrödinger system with potential in three space diemensions. (English) Zbl 07869333 Math. Methods Appl. Sci. 47, No. 7, 5392-5413 (2024). MSC: 35Q55 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Khasanov, Aknazar; Khudayorov, Ulughbek; Khasanov, Temur The Cauchy problem for the modified Korteweg-de Vries-Liouville (mKdV-L) equation with an additional term in the class of periodic infinite-gap functions. (English) Zbl 1542.35320 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 78-95 (2024). MSC: 35Q35 35Q53 35Q55 35B53 34A55 34B24 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Yulei; He, Jingsong; Cheng, Yi Doubly localized two-dimensional rogue waves generated by resonant collision in Maccari system. (English) Zbl 1542.35350 Stud. Appl. Math. 152, No. 2, 648-672 (2024). MSC: 35Q55 35Q53 35C08 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Urazboev, G. U.; Baltaeva, I. I.; Babadjanova, A. K. Soliton solutions of the negative-order nonlinear Schrödinger equation. (English. Russian original) Zbl 1541.37079 Theor. Math. Phys. 219, No. 2, 761-769 (2024); translation from Teor. Mat. Fiz. 219, No. 2, 263-273 (2024). MSC: 37K15 35Q55 37K40 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Haixia; Yang, Pingping New concentrated solutions for the nonlinear Schrödinger-Newton system. (English) Zbl 1541.35021 Appl. Anal. 103, No. 1, 312-339 (2024). MSC: 35B25 35J50 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Himonas, A. Alexandrou; Yan, Fangchi The Schrödinger-Korteweg-de Vries system on the half-line. (English) Zbl 07856321 Appl. Numer. Math. 199, 32-58 (2024). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35Q53 35A22 35B65 35A01 35A02 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Natali, Fábio; Moraes, Gabriel Spectral stability of multiple periodic waves for the Schrödinger system with cubic nonlinearity. (English) Zbl 1540.35330 Dyn. Partial Differ. Equ. 21, No. 2, 171-195 (2024). MSC: 35Q51 35Q55 35Q41 35C08 35P99 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yuxia; Huang, Lin; Yu, Jing N-soliton solutions for the three-component Dirac-Manakov system via Riemann-Hilbert approach. (English) Zbl 1544.35114 Appl. Math. Lett. 151, Article ID 109005, 6 p. (2024). MSC: 35Q15 35Q55 35C08 37K15 37K35 35P15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Lu; Biswas, Anjan; Yıldırım, Yakup; Aphane, Maggie; Alghamdi, Abdulah A. Bifurcation analysis and optical soliton perturbation with Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1540.35043 Proc. Est. Acad. Sci. 73, No. 1, 17-28 (2024). MSC: 35B32 35C08 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, J. M.; Shen, Z. F. Normalized solutions of two-component nonlinear Schrödinger equations with linear couples. (English) Zbl 1541.35191 Complex Var. Elliptic Equ. 69, No. 5, 729-754 (2024). MSC: 35J47 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Compaan, E.; Shin, W.; Tzirakis, N. Well-posedness for the Schrödinger-KdV system on the half-line. (English) Zbl 1541.35453 J. Math. Anal. Appl. 537, No. 2, Article ID 128313, 34 p. (2024). MSC: 35Q55 35Q41 35Q53 35G61 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Fu Zhang; Li, Bacui; Higazy, M.; Khater, Mostafa M. A. Unraveling physical phenomena: investigating solitary wave characteristics in the Boiti-Leon-Pempinelli system. (English) Zbl 1539.35223 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 160, 17 p. (2024). MSC: 35Q53 35Q55 65M70 76B25 35C08 35C05 35A20 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xue; Du, Dianlou; Wang, Hui A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation. (English. Russian original) Zbl 1539.37074 Theor. Math. Phys. 218, No. 3, 370-387 (2024); translation from Teor. Mat. Fiz. 218, No. 3, 430-448 (2024). MSC: 37K10 37K06 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Komada, Koichi Existence of radially symmetric blow-up solutions for quantum Zakharov system. (English) Zbl 1540.35324 J. Differ. Equations 397, 1-33 (2024). MSC: 35Q40 35Q55 35Q41 81Q80 76X05 76Y05 35L30 35B06 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Zaihui; Wang, Yuchen; Wang, Yue; Yu, Jialing Optimal lower bound for the blow-up rate of the magnetic Zakharov system without the skin effect. (English) Zbl 1536.35269 Arch. Ration. Mech. Anal. 248, No. 3, Paper No. 32, 56 p. (2024). MSC: 35Q35 35Q55 76X05 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Xing-Bin Ginzburg-Landau equation and Meissner states of multiply-connected superconductors. (English) Zbl 1536.82031 J. Funct. Anal. 286, No. 12, Article ID 110417, 74 p. (2024). MSC: 82D55 35J47 35J50 35J57 35Q55 35Q56 35Q60 35R09 35A15 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Reinisch, Gilbert Quantum-dot helium: an artificial atom with stunning nonlinear properties. (English) Zbl 07823497 Phys. Lett., A 498, Article ID 129347, 7 p. (2024). MSC: 81Q05 81V10 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Li; Wang, Jun; Wang, Jixiu Multi-bump solutions of Schrödinger-Bopp-Podolsky system with steep potential well. (English) Zbl 07823006 Electron. J. Qual. Theory Differ. Equ. 2024, Paper No. 10, 22 p. (2024). MSC: 35A15 35B38 35J60 35J47 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Linlin; Xing, Yuming Bifurcation analysis of fractional Kirchhoff-Schrödinger-Poisson systems in \(\mathbb{R}^3\). (English) Zbl 07822999 Electron. J. Qual. Theory Differ. Equ. 2024, Paper No. 3, 17 p. (2024). MSC: 35B32 35P30 47J15 35R11 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Jaquette, Jonathan Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations. (English) Zbl 1543.35011 J. Dyn. Differ. Equations 36, No. 1, 1-25 (2024). MSC: 35B15 35B44 35Q55 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ze, Li; Qu, Changzheng Global dynamics to the periodic ferromagnetic spin chain system. (English) Zbl 1535.35177 SIAM J. Math. Anal. 56, No. 2, 1672-1726 (2024). MSC: 35Q60 35Q55 35Q82 35K59 82D40 78A30 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Yuxi; He, Xiaoming Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth. (English) Zbl 07815381 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 3, 997-1019 (2024). MSC: 35R11 35J47 35A15 35B33 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Ning, Cui; Kou, Xiaomin; Wang, Yaohong Low-regularity integrator for the Davey-Stewartson II system. (English) Zbl 1534.65207 J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024). MSC: 65M70 65N35 65M22 65M12 35B65 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Caiqin; Zhao, Hai-qiong; Zhu, Zuo-nong Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties. (English) Zbl 1534.35376 Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K10 37K15 37K35 35B34 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Sitong; Rădulescu, Vicenţiu D.; Tang, Xianhua Multiple normalized solutions for the planar Schrödinger-Poisson system with critical exponential growth. (English) Zbl 1536.35155 Math. Z. 306, No. 3, Paper No. 50, 32 p. (2024). Reviewer: Leszek Gasiński (Kraków) MSC: 35J47 35J62 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jing Existence of normalized peak solutions for a coupled nonlinear Schrödinger system. (English) Zbl 1534.35140 Adv. Nonlinear Anal. 13, Article ID 20230113, 19 p. (2024). MSC: 35J47 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Cheviakov, Alexei; Zhao, Peng Analytical properties of nonlinear partial differential equations. With applications to shallow water models. (English) Zbl 07808162 CMS/CAIMS Books in Mathematics 10. Cham: Springer (ISBN 978-3-031-53073-9/hbk; 978-3-031-53076-0/pbk; 978-3-031-53074-6/ebook). xviii, 309 p. (2024). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q35 35-02 76-02 76B15 76B25 76D05 37K10 37K15 37K35 35A20 35B06 68W30 35C08 35C07 82D55 35R35 34M55 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Pucci, Patrizia; Wang, Linlin; Zhang, Binlin Bifurcation and regularity analysis of the Schrödinger-Poisson equation. (English) Zbl 1534.35020 Nonlinearity 37, No. 3, Article ID 035011, 23 p. (2024). Reviewer: Jia-Yuan Dai (Taichung) MSC: 35B32 35J47 35J61 35P30 47J15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Thomas; Bowles Urban, Amie On the well-posedness and stability of cubic and quintic nonlinear Schrödinger systems on \(\mathbb{T}^3\). (English) Zbl 1533.35309 Ann. Henri Poincaré 25, No. 2, 1657-1692 (2024). MSC: 35Q55 35Q41 35Q40 81V74 35B35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Gengen; Su, Chunmei Uniform error bounds of a conservative compact finite difference method for the quantum Zakharov system in the subsonic limit regime. (English) Zbl 07803031 J. Comput. Math. 42, No. 1, 289-312 (2024). MSC: 65-XX 35Q55 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Fukaya, Noriyoshi; Hayashi, Masayuki; Inui, Takahisa Traveling waves for a nonlinear Schrödinger system with quadratic interaction. (English) Zbl 1533.35312 Math. Ann. 388, No. 2, 1357-1378 (2024). MSC: 35Q55 35Q41 35C07 35J60 35B05 35B20 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saanouni, Tarek; Nafti, Hayat The non-radial focusing inhomogeneous coupled Schrödinger systems in three space dimensions. (English) Zbl 1532.35430 Potential Anal. 60, No. 1, 197-218 (2024). MSC: 35Q55 35B44 35P25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Seong, Kihoon Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system. (English) Zbl 1532.35431 J. Funct. Anal. 286, No. 4, Article ID 110244, 81 p. (2024). MSC: 35Q55 35Q41 35Q40 35L71 60H30 81V70 82C26 15B52 35A01 35A02 35R06 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jing; Li, Zhao; He, Lin; Liu, Wei Bifurcation, phase portrait and traveling wave solutions of the coupled fractional Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1533.35352 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 78, 15 p. (2024). MSC: 35Q94 35Q55 78A60 35B32 35C07 35C08 33E05 35B10 34C23 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huimin; Bian, Dongfen; Pu, Xueke NLS approximation of the Euler-Poisson system for a cold ion-acoustic plasma. (English) Zbl 1532.35428 J. Differ. Equations 379, 125-147 (2024). MSC: 35Q55 35Q41 35Q31 35Q60 35M10 35B65 76X05 78A30 82D10 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Yonggeun; Kwon, Soonsik; Lee, Kiyeon; Yang, Changhun The modified scattering for Dirac equations of scattering-critical nonlinearity. (English) Zbl 1542.35334 Adv. Differ. Equ. 29, No. 3-4, 179-222 (2024). MSC: 35Q41 35Q40 35Q55 35Q60 78A35 78A45 35B34 81V10 81T13 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Osada, Yuki A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction. (English) Zbl 1543.35015 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 1, Paper No. 7, 29 p. (2024). MSC: 35B25 35B40 35J47 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yujin; Liang, Wenning; Li, Yan Refined spike profiles of constraint minimizers for the planar Schrödinger-Poisson system with logarithmic potentials. (English) Zbl 1527.35320 Discrete Contin. Dyn. Syst. 44, No. 1, 182-204 (2024). MSC: 35Q40 35Q55 35Q41 35J60 35C20 35A01 35A02 46N50 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshino, Gaku Asymptotic behavior for solutions to the vector nonlinear Schrödinger equations. (English) Zbl 1522.35467 J. Math. Anal. Appl. 529, No. 1, Article ID 127604, 19 p. (2024). MSC: 35Q55 35Q41 35B40 35B33 35A01 35A02 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Burq, Nicolas; Camps, Nicolas; Latocca, Mickaël; Sun, Chenmin; Tzvetkov, Nikolay The Second Picard iteration of NLS on the \(2d\) sphere does not regularize Gaussian random initial data. arXiv:2404.18241 Preprint, arXiv:2404.18241 [math.AP] (2024). MSC: 35Q55 35A01 35R01 35R60 37Kxx × Cite Format Result Cite Full Text: arXiv OA License
Burq, Nicolas; Camps, Nicolas; Sun, Chenmin; Tzvetkov, Nikolay Probabilistic well-posedeness for the nonlinear Schrödinger equation on the \(2d\) sphere I: positive regularities. arXiv:2404.18229 Preprint, arXiv:2404.18229 [math.AP] (2024). MSC: 35Q55 35A01 35R01 35R60 37Kxx × Cite Format Result Cite Full Text: arXiv OA License
Williams, Floyd L. From a magnetoacoustic system to a J-T black hole: a little trip down memory lane. (English) Zbl 1541.83060 Commun. Anal. Mech. 15, No. 3, 342-361 (2023). MSC: 83C57 35Q55 82D10 83C80 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Dan-Yu; Tian, Bo; Shen, Yuan Generalized Darboux transformation and rogue waves for a coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. (English) Zbl 1542.35363 Chin. J. Phys., Taipei 82, 182-193 (2023). MSC: 35Q55 35Q41 78A60 76U05 35C08 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Khasanov, A.; Eshbekov, R.; Normurodov, Kh. Integration of a nonlinear Hirota type equation with finite density in the class of periodic functions. (English) Zbl 1540.35344 Lobachevskii J. Math. 44, No. 10, 4329-4347 (2023). MSC: 35Q53 35Q55 35Q41 37K15 35C08 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of the coupled Schrödinger-Boussinesq equations through integrated radial basis functions-partition of unity method. (English) Zbl 1543.65168 Eng. Anal. Bound. Elem. 153, 51-67 (2023). MSC: 65M70 65D12 × Cite Format Result Cite Review PDF Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Valeev, N. F. Optimization spectral problem for the Sturm-Liouville operator in a vector function space. (English. Russian original) Zbl 1541.34034 Dokl. Math. 108, No. 2, 406-410 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 93-98 (2023). Reviewer: Amin Boumenir (Carrollton) MSC: 34A55 34B24 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yusong; Shen, Zihui; Zhu, Xincai Existence and concentration of solutions to an sublinear Schrödinger-Kirchhoff-Poisson system. (Chinese. English summary) Zbl 07801758 Acta Math. Appl. Sin. 46, No. 4, 649-657 (2023). MSC: 35J50 35J60 × Cite Format Result Cite Review PDF Full Text: Link
Asadi, Esmaeel; Riaz, H. W. A.; Ganjkhanloo, Mohammad Ali Generalized Darboux transformation for nonlinear Schrödinger system on general Hermitian symmetric spaces and rogue wave solutions. (English) Zbl 1532.35414 Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023). MSC: 35Q55 35Q41 35C08 37K10 70H06 37K25 37K35 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Herr, Sebastian; Kato, Isao; Kinoshita, Shinya; Spitz, Martin Local well-posedness of a system describing laser-plasma interactions. (English) Zbl 1530.35279 Vietnam J. Math. 51, No. 4, 759-770 (2023). MSC: 35Q55 35L70 35B30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dou, Xuechao; Sun, Juntao Local well-posedness and standing waves with prescribed mass for Schrödinger-Poisson systems with a logarithmic potential in \(\mathbb{R}^2\). (English) Zbl 1529.35188 Electron. J. Differ. Equ. 2023, Paper No. 64, 13 p. (2023). MSC: 35J47 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: Link
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the long-time asymptotic for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data. (English) Zbl 1527.35386 Physica D 456, Article ID 133915, 32 p. (2023). MSC: 35Q55 35Q41 35Q15 35B40 37K10 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Kinoshita, Shinya; Nakamura, Shohei; Sanwal, Akansha Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system. (English) Zbl 1528.35148 Commun. Math. Phys. 404, No. 2, 883-926 (2023). MSC: 35Q53 35Q55 35B65 35A01 35A02 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yanrong; Li, Xiaoli Efficient and accurate exponential SAV algorithms with relaxation for dissipative system. (English) Zbl 1523.35251 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107530, 25 p. (2023). MSC: 35Q40 65M12 35Q55 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Bo; Wang, Youde Very regular solution to Landau-Lifshitz-Gilbert system with spin-polarized transport. (English) Zbl 1528.35156 Front. Math. (Beijing) 18, No. 4, 751-795 (2023). MSC: 35Q55 35Q41 35Q60 78A60 82D40 35A01 35A02 35B65 35K59 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Jinyeop; Michelangeli, Alessandro On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution. (English) Zbl 1527.35322 Nonlinearity 36, No. 12, 6364-6402 (2023). MSC: 35Q40 35Q41 35Q55 47N20 81Q10 81V70 81V73 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial data. (English) Zbl 1527.35194 J. Differ. Equations 377, 121-187 (2023). MSC: 35Q15 35Q51 35Q55 35Q41 35Q35 35C20 35C08 35B40 35B35 35A01 35A02 37K10 41A60 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Baldi, Pietro; Haus, Emanuele Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems. (English) Zbl 07752593 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1051-1091 (2023). MSC: 47J07 35B25 35Q55 35L52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Peng; Chen, Huimao; Li, Yuanyuan Ground states for \(K\)-component coupled nonlinear Schrödinger equations with two types of strongly indefinite structure. (English) Zbl 1523.35137 J. Geom. Anal. 33, No. 11, Paper No. 362, 87 p. (2023). MSC: 35J10 35J61 35J47 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Zaihui; Wang, Yue Existence and instability of standing wave for the two-wave model with quadratic interaction. (English) Zbl 1527.35377 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 224, 35 p. (2023). MSC: 35Q55 35Q41 35B44 35A01 35A15 35B35 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Lixia; Xiong, Chunlian; Zhao, Pingping On the existence and multiplicity of solutions for nonlinear Klein-Gordon-Maxwell system. (English) Zbl 1538.35160 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 19, 18 p. (2023). MSC: 35J61 35B33 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaojing; Ding, Yanheng; Guo, Qi Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations. (English) Zbl 1527.35326 J. Differ. Equations 372, 161-193 (2023). MSC: 35Q41 35Q55 35Q60 78A60 35A15 35M30 15A67 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Shuai; Chen, Haibo; Sun, Juntao Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect. (English) Zbl 1522.35427 Sci. China, Math. 66, No. 9, 2057-2080 (2023). MSC: 35Q40 35Q55 35B35 35B38 35B40 35J20 35J61 35A15 35A01 35R02 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Shengqing Quasi-periodic solutions for Schrödinger equation with finite smooth quasi-periodic forcing. (English) Zbl 1522.35468 SIAM J. Appl. Dyn. Syst. 22, No. 3, 1945-1982 (2023). MSC: 35Q55 70H08 70H12 37J40 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Aktosun, Tuncay; Ercan, Ramazan; Unlu, Mehmet The Marchenko method to solve the general system of derivative nonlinear Schrödinger equations. (English) Zbl 1520.35036 J. Math. Phys. 64, No. 7, Article ID 073502, 41 p. (2023). MSC: 35G50 35Q55 37K15 45F15 45A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Capistrano-Filho, Roberto de A.; Pampu, Ademir B. Control results for a model of resonant interaction between short and long capillary-gravity waves. (English) Zbl 1515.35240 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 61, 38 p. (2023). MSC: 35Q55 35Q53 93B05 93D15 35A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji The Zakharov system in dimension \(d \geq 4\). (English) Zbl 1519.35284 J. Eur. Math. Soc. (JEMS) 25, No. 8, 3177-3228 (2023). MSC: 35Q55 35Q41 42B37 35L70 35P25 35A01 35A02 35B65 35B30 35B05 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Chuangye; Nguyen, Nghiem V. Some models for the interaction of long and short waves in dispersive media. II: Well-posedness. (English) Zbl 1529.35360 Commun. Math. Sci. 21, No. 3, 641-669 (2023). MSC: 35Q31 35Q35 35Q55 35Q41 35Q53 35A35 35M30 76B15 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Byeon, Jaeyoung; Moon, Sang-Hyuck; Lin, Tai-Chia Nonlinear Schrödinger systems with trapping potentials for mixed attractive and repulsive interactions. (English) Zbl 1519.35109 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 189, 43 p. (2023). MSC: 35J47 35J61 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Shu, Muhua; Chen, Sitong Axially symmetric solutions for planar Schrödinger-Poisson systems with critical exponential growth and non-negative potential. (English) Zbl 1519.35121 Appl. Math. Lett. 143, Article ID 108673, 7 p. (2023). MSC: 35J47 35J61 35Q55 35B06 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Berg, André; Cohen, David; Dujardin, Guillaume Approximated exponential integrators for the stochastic Manakov equation. (English) Zbl 1515.65022 J. Comput. Dyn. 10, No. 2, 323-344 (2023). MSC: 65C30 35Q55 60-08 60H15 60H35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Jeongho; Moon, Bora Hydrodynamic limits of Manton’s Schrödinger system. (English) Zbl 1517.35208 Commun. Pure Appl. Anal. 22, No. 7, 2278-2297 (2023). MSC: 35Q55 35Q41 35Q31 35Q56 76Y05 76U60 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yujin; Liang, Wenning; Li, Yan Existence and uniqueness of constraint minimizers for the planar Schrödinger-Poisson system with logarithmic potentials. (English) Zbl 1530.35278 J. Differ. Equations 369, 299-352 (2023). MSC: 35Q55 35Q41 35Q60 35M30 35B20 35A15 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv