Baumeier, Björn; Çaylak, Onur; Mercuri, Carlo; Peletier, Mark; Prokert, Georg; Scharpach, Wouter Local existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics. (English) Zbl 07923638 J. Math. Anal. Appl. 541, No. 2, Article ID 128688, 33 p. (2025). MSC: 35Qxx 81Vxx 35Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 35A01 35B44 × 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
Li, Zaizheng; Luo, Haijun; Zhang, Zhitao Blow-up profile of normalized solutions for fractional nonlinear Schrödinger equation with negative potentials. (English) Zbl 07906826 Discrete Contin. Dyn. Syst. 45, No. 1, 160-188 (2025). MSC: 35R11 35B40 35B44 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Ko, Eunkyung Existence of a positive solution to infinite semipositone problems. (English) Zbl 07926352 East Asian Math. J. 40, No. 3, 319-328 (2024). MSC: 35J66 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Ko, Eunkyung Multiplicity of positive solutions of a Schrödinger-type elliptic equation. (English) Zbl 07926350 East Asian Math. J. 40, No. 3, 295-306 (2024). MSC: 35J25 35J65 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Daomin; Su, Yiming; Zhang, Deng Construction of multi-bubble blow-up solutions to the \(L^2\)-critical half-wave equation. (English) Zbl 07926117 J. Lond. Math. Soc., II. Ser. 110, No. 3, Article ID e12974, 59 p. (2024). MSC: 35B44 35Q55 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Masaki, Satoshi; Segata, Jun-Ichi; Uriya, Kota Asymptotic behavior in time of solution to system of cubic nonlinear Schrödinger equations in one space dimension. (English) Zbl 07925340 Machihara, Shuji (ed.), Mathematical physics and its interactions. In honor of the 60th birthday of Tohru Ozawa, Tokyo, Japan, August 25–27, 2021. Conference proceedings. Singapore: Springer. Springer Proc. Math. Stat. 451, 119-180 (2024). MSC: 35Q55 35A22 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Veeresha, P.; Prakasha, D. G.; Kumar, Sunil A fractional model for propagation of classical optical solitons by using nonsingular derivative. (English) Zbl 07924802 Math. Methods Appl. Sci. 47, No. 13, 10609-10623 (2024). MSC: 26A33 34A08 34A34 60G22 × Cite Format Result Cite Review PDF Full Text: DOI
Fuest, Mario; Winkler, Michael Uniform \(L^p\) estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing. (English) Zbl 07924634 J. Math. Fluid Mech. 26, No. 4, Paper No. 60, 15 p. (2024). MSC: 35K65 35Q55 35Q92 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Deng, Dingwen; Li, Zhijun Invariants-preserving Du Fort-Frankel schemes and their analyses for nonlinear Schrödinger equations with wave operator. (English) Zbl 07924437 J. Comput. Math. 42, No. 3, 814-850 (2024). MSC: 26A33 34A08 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Shuxin; Li, Biao \( \bar \partial \)-dressing method for three-component coupled nonlinear Schrödinger equations. (English) Zbl 07924333 J. Appl. Anal. Comput. 14, No. 5, 2523-2533 (2024). MSC: 37K15 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
He, Weijun; Rui, Weiguo; Hong, Xiaochun An extensional conformable fractional derivative and its effects on solutions and dynamical properties of fractional partial differential equations. (English) Zbl 07924026 J. Appl. Anal. Comput. 14, No. 3, 1790-1819 (2024). MSC: 34A08 34A05 34K18 35D05 × Cite Format Result Cite Review PDF Full Text: DOI
Wright, Otis C. III Maximal amplitudes of hyperelliptic solutions of the modified nonlinear Schrödinger equation. (English) Zbl 07923951 J. Nonlinear Sci. 34, No. 5, Paper No. 89, 43 p. (2024). MSC: 35Q55 37K15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Duyckaerts, Thomas; Tin, Phan Van Profile decomposition and scattering for general nonlinear Schrödinger equations. (English) Zbl 07923702 J. Differ. Equations 410, 113-170 (2024). MSC: 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xuwen; Shen, Shunlin; Zhang, Zhifei Quantitative derivation of the Euler-Poisson equation from quantum many-body dynamics. (English) Zbl 07923290 Peking Math. J. 7, No. 2, 643-711 (2024). MSC: 35Q31 76N10 81V70 35Q55 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Gomes, Daniele C. R.; Rincon, Mauro A.; da Silva, Maria Darci G.; Antunes, Gladson O. Numerical and mathematical analysis of a nonlinear Schrödinger problem with moving ends. (English) Zbl 07923022 J. Appl. Anal. Comput. 14, No. 2, 886-910 (2024). MSC: 35K55 65M06 65M60 35R37 × Cite Format Result Cite Review PDF Full Text: DOI
Raza, Nauman; Kazmi, Syeda Sarwat; Basendwah, Ghada Ali Dynamical analysis of solitonic, quasi-periodic, bifurcation and chaotic patterns of Landau-Ginzburg-Higgs model. (English) Zbl 07922837 J. Appl. Anal. Comput. 14, No. 1, 197-213 (2024). MSC: 78A60 35Q51 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lixia; Xiong, Chunlian; Zhang, Dong Multiple solutions for nonhomogeneous Klein-Gordon equation with sign-changing potential coupled with Born-Infeld theory. (English) Zbl 07922830 J. Appl. Anal. Comput. 14, No. 1, 84-105 (2024). MSC: 35B33 35J65 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Medvedeva, Marina A.; Simos, T. E. A very efficient and sophisticated fourteenth-order phase-fitting method for addressing chemical issues. (English) Zbl 07922443 J. Math. Chem. 62, No. 9, 2129-2159 (2024). MSC: 65L05 65L06 34A34 92E99 × Cite Format Result Cite Review PDF Full Text: DOI
Chavez, Omar Cabrera Partial minimization over the Nehari set and applications to elliptic equations. (English) Zbl 07922256 Topol. Methods Nonlinear Anal. 63, No. 2, 559-593 (2024). MSC: 35J47 35J20 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Lei; Feng, Xiaojing Normalized solutions to a class of Choquard-type equations with potential. (English) Zbl 07922254 Topol. Methods Nonlinear Anal. 63, No. 2, 515-536 (2024). MSC: 35D30 35J20 35J50 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Taegyu The stability of degenerate solitons for derivative nonlinear Schrödinger equations. (English) Zbl 07922122 J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128524, 12 p. (2024). MSC: 35Qxx 35Bxx 35Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tu, Yuanyuan; Wang, Jun Existence and orbital stability results for the nonlinear Choquard equation with rotation. (English) Zbl 07922027 Discrete Contin. Dyn. Syst. 44, No. 12, 3709-3733 (2024). MSC: 35J61 35J20 35Q55 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Wen-Xiu Integrable couplings stemming from three-dimensional unital algebras. (English) Zbl 07921048 Phys. Lett., A 523, Article ID 129783, 5 p. (2024). MSC: 81-XX 82-XX 37K15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Pucci, Patrizia; Wang, Linlin; Zhang, Binlin Bifurcation and existence for Schrödinger-Poisson systems with doubly critical nonlinearities. (English) Zbl 07920856 Z. Angew. Math. Phys. 75, No. 5, Paper No. 170, 23 p. (2024). MSC: 35B32 35P30 35J47 47J15 35J05 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Ampatzoglou, Ioakeim Global well-posedness and stability of the inhomogeneous kinetic wave equation near vacuum. (English) Zbl 07920744 Kinet. Relat. Models 17, No. 6, 838-854 (2024). MSC: 35Q20 35Q55 82C40 82C22 76F02 76F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghanmi, Radhia; Boulaaras, Salah; Saanouni, Tarek Local well-Posedness of the fractional inhomogeneous NLS in Sobolev spaces. (English) Zbl 07920737 Discrete Contin. Dyn. Syst., Ser. S 17, No. 10, 3035-3045 (2024). MSC: 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Lou, Zhaowei; Wu, Jian Kam tori for the system of coupled quantum harmonic oscillators with reversible perturbations. (English) Zbl 07920484 J. Dyn. Differ. Equations 36, No. 3, 2429-2476 (2024). MSC: 37K55 35B15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Casteras, Jean-Baptiste; Holopainen, Ilkka Fourth order Schrödinger equation with mixed dispersion on certain Cartan-Hadamard manifolds. (English) Zbl 07920470 J. Dyn. Differ. Equations 36, No. 3, 2057-2092 (2024). MSC: 35Q55 35Q41 35P25 35J30 31A30 35B44 35A01 43A85 43A90 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dong, Fangyuan Multiple positive solutions for the logarithmic Schrödinger equation with a Coulomb potential. (English) Zbl 07920445 Commun. Anal. Mech. 16, No. 3, 487-508 (2024). MSC: 35Q55 35A15 35J60 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Majdoub, Mohamed; Saanouni, Tarek Well-posedness and scattering for a 2D inhomogeneous NLS with Aharonov-Bohm magnetic potential. (English) Zbl 07920145 J. Math. Anal. Appl. 540, No. 2, Article ID 128662, 29 p. (2024). MSC: 35Q55 35Q41 81Q70 35P25 35B44 35A01 35A02 35A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Talluri, Matteo A multiplicity result for a double perturbed Schrödinger-Bopp-Podolsky-Proca system. (English) Zbl 07920136 J. Math. Anal. Appl. 540, No. 2, Article ID 128648, 13 p. (2024). MSC: 35Jxx 35Axx 35Qxx × 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
Zou, Sen; Lu, Shuai; Xu, Boxi Increasing stability of the first order linearized inverse Schrödinger potential problem with integer power type nonlinearities. (English) Zbl 07919734 SIAM J. Appl. Math. 84, No. 4, 1868-1889 (2024). MSC: 35Q55 35R30 65N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saanouni, Tarek; Shi, Qihong A note on the inhomogeneous fractional nonlinear Schrödinger equation. (English) Zbl 07919193 Arab. J. Math. 13, No. 2, 389-407 (2024). MSC: 35Q55 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Liu, Ting Large energy bubble solutions for supercritical fractional Schrödinger equation with double potentials. (English) Zbl 07919168 J. Geom. Anal. 34, No. 10, Paper No. 314, 30 p. (2024). MSC: 35J61 35R11 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Yongming A Legendre-Fenchel identity for the nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}^m\): theory and applications. (English) Zbl 07919167 J. Geom. Anal. 34, No. 10, Paper No. 313, 40 p. (2024). MSC: 35Q55 35Q41 35P25 35B40 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zaiyun; Wang, Dandan; Chen, Jiannan; Xie, Zihan; Xu, Chengzhao Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities. (English) Zbl 07919161 J. Geom. Anal. 34, No. 10, Paper No. 307, 36 p. (2024). MSC: 35Q55 35A01 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Herr, Sebastian; Kwak, Beomjong Strichartz estimates and global well-posedness of the cubic NLS on \(\mathbb{T}^2\). (English) Zbl 07919006 Forum Math. Pi 12, Paper No. e14, 21 p. (2024). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35Q41 52C30 42B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Al-Ghafri, Khalil S.; Sankar, Mani Chirped optical solitons in fiber Bragg gratings with dispersive reflectivity. (English) Zbl 07918984 Lacarbonara, Walter (ed.), Advances in nonlinear dynamics. Proceedings of the third international nonlinear dynamics conference, NODYCON 2023, Rome, Italy, June 18–22, 2023. Volume III. Cham: Springer. NODYCON Conf. Proc. Ser., 577-588 (2024). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi Global dynamics below excited solitons for the non-radial NLS with potential. (English) Zbl 07917535 Indiana Univ. Math. J. 73, No. 3, 1097-1205 (2024). MSC: 35Q55 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Liuyi; Wang, Lei; Liu, Lei; Sun, Wenrong; Ren, Xiaoxia Non-degenerate localised waves beyond Manakov system and their new perspectives. (English) Zbl 07916680 Nonlinearity 37, No. 10, Article ID 105016, 67 p. (2024). MSC: 35Q55 35Q51 35C08 35C05 35B20 37K10 37K35 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Shikun; Wang, Zhen Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation. (English) Zbl 07916679 Nonlinearity 37, No. 10, Article ID 105015, 42 p. (2024). MSC: 65M70 65M06 65N35 65L06 65T50 35Q55 35Q15 37K15 37K10 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiao; Nofal, Taher A.; Vokhmintsev, Aleksander; Khater, Mostafa M. A. Exploring solitary waves and nonlinear dynamics in the fractional Chaffee-Infante equation: a study beyond conventional diffusion models. (English) Zbl 07916590 Qual. Theory Dyn. Syst. 23, Suppl. Issue 1, Paper No. 270, 29 p. (2024). MSC: 35Q35 35Q53 35Q55 35Q51 76B25 78A60 35C08 35B36 35R11 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guoqing; Huang, Shuaifei Ground states for a nonlocal isoperimetric problem with two interacting phases. (English) Zbl 07916297 Appl. Anal. 103, No. 8, 1482-1497 (2024). MSC: 35Q55 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ting; Chen, Guanwei Multiple standing waves of matrix nonlinear Schrödinger equations with mixed growth nonlinearities in \(\mathbb{R}^N\). (English) Zbl 07916223 Nonlinear Anal., Real World Appl. 80, Article ID 104153, 9 p. (2024). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ying; Shi, Hui; Zhong, Xinghui Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations. (English) Zbl 07915953 J. Sci. Comput. 101, No. 1, Paper No. 4, 39 p. (2024). MSC: 65M60 65M06 65N30 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Ammari, Zied; Farhat, Shahnaz; Sohinger, Vedran Almost sure existence of global solutions for general initial value problems. (English) Zbl 07915891 Adv. Math. 453, Article ID 109805, 61 p. (2024). MSC: 35A01 35Q35 35Q49 35Q55 34G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melikhov, S. N.; Suleimanov, B. I.; Shavlukov, A. M. Typical dropping asymptotics in the semiclassical approximations to solutions of the nonlinear Schrödinger equation. (English. Russian original) Zbl 07915881 Differ. Equ. 60, No. 5, 590-602 (2024); translation from Differ. Uravn. 60, No. 5, 618-631 (2024). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Paiva, Francisco Odair; Lima, Sandra Machado De Souza; Miyagaki, Olímpio Hiroshi Nehari manifold for a Schrödinger equation with magnetic potential involving sign-changing weight function. (English) Zbl 07915852 Appl. Anal. 103, No. 6, 1036-1063 (2024). MSC: 35Q60 35Q55 35B38 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xiao; Tang, Zhongwei; Wang, Lushun Infinitely many solutions for nonlinear fourth-order Schrödinger equations with mixed dispersion. (English) Zbl 07915844 Appl. Anal. 103, No. 5, 898-926 (2024). MSC: 35Q55 35J30 35B40 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Saanouni, Tarek; Peng, Congming Scattering for a class of inhomogeneous generalized Hartree equations. (English) Zbl 07915838 Appl. Anal. 103, No. 4, 790-806 (2024). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Shaowei New critical point theorem and infinitely many normalized small-magnitude solutions of mass supercritical Schrödinger equations. (English) Zbl 07914772 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 5, Paper No. 99, 31 p. (2024). MSC: 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Ardila, Alex H.; Murphy, Jason The cubic-quintic nonlinear Schrödinger equation with inverse-square potential. (English) Zbl 07914770 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 5, Paper No. 93, 39 p. (2024). MSC: 35Q55 35Q41 35C08 35P25 35B44 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Stewart, Gavin On the wellposedness of periodic nonlinear Schrödinger equations with white noise dispersion. (English) Zbl 07914041 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 3, 1417-1438 (2024). MSC: 35R60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krasznai, Anna; Takác, Gábor Escaping fronts in local quenches of a confining spin chain. (English) Zbl 07912433 SciPost Phys. 16, No. 5, Paper No. 138, 32 p. (2024). MSC: 82C20 82D40 81V74 81V35 35C08 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ma, Chutian; Wang, Han; Yu, Xueying; Zhao, Zehua On the decaying property of quintic NLS on 3D hyperbolic space. (English) Zbl 07912336 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 247, Article ID 113599, 12 p. (2024). MSC: 35Q55 35Q41 35R01 37K06 37L50 35B65 35A01 35A02 × 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
Sasa, Narimasa Small dispersion limit of momentum conservation law. (English) Zbl 07910134 JSIAM Lett. 16, 37-40 (2024). MSC: 65-XX 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong; Zhang, Yong; Ding, Liyuan Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations. (English) Zbl 07910080 Int. J. Geom. Methods Mod. Phys. 21, No. 11, Article ID 2450182, 18 p. (2024). MSC: 35Q55 37K15 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Lun; Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina Low regularity full error estimates for the cubic nonlinear Schrödinger equation. (English) Zbl 07909884 SIAM J. Numer. Anal. 62, No. 5, 2071-2086 (2024). MSC: 65M70 35Q55 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Chunxiao; Wang, Yuzhu; Xu, Mengtao; Guo, Yanfeng Low regularity for LS type equations on the half line. (English) Zbl 07909833 Bull. Malays. Math. Sci. Soc. (2) 47, No. 5, Paper No. 144, 36 p. (2024). MSC: 35B65 35G61 35Q55 × 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 07909824 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
Abbagari, Souleymanou; Houwe, Alphonse; Akinyemi, Lanre; Bouetou, Thomas Bouetou Modulational instability and localized waves in the monoatomic chain with anharmonic potential. (English) Zbl 07909658 Int. J. Theor. Phys. 63, No. 8, Paper No. 195, 17 p. (2024). MSC: 35Q60 35Q55 78A60 35C08 35C07 35B36 81V45 37K60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qi; Duan, Qiu-yuan A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources and dynamics. (English. Russian original) Zbl 07908852 Theor. Math. Phys. 219, No. 3, 933-943 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 462-473 (2024). MSC: 37K10 37K15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Karim K.; Ahmed, Hamdy; Badra, Niveen M.; Mirzazadeh, Mohammad; Rabie, Wafaa B.; Eslami, Mostafa Diverse exact solutions to Davey-Stewartson model using modified extended mapping method. (English) Zbl 07908548 Nonlinear Anal., Model. Control 29, No. 5, 983-1002 (2024). MSC: 35Q55 35Q60 78A60 35C08 35C05 35B10 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xue-Yuan; Liu, Chong Fundamental breathers and their physical spectra in vector fields with self-steepening. (English) Zbl 07908459 Physica D 468, Article ID 134287, 12 p. (2024). MSC: 35Q55 35Q41 35C08 35C05 37K10 35A21 35A01 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yu; Lü, Xing Data-driven solutions and parameter discovery of the extended higher-order nonlinear Schrödinger equation in optical fibers. (English) Zbl 07908457 Physica D 468, Article ID 134284, 12 p. (2024). MSC: 35Q55 35Q41 35Q60 35C08 78A60 68T07 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kwon, Soonsik; Lee, Kiyeon; Yang, Changhun The modified scattering of two dimensional semi-relativistic Hartree equations. (English) Zbl 07908380 J. Evol. Equ. 24, No. 3, Paper No. 64, 35 p. (2024). MSC: 35B40 35P25 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirata, Kentaro Sublinear elliptic equations with unbounded coefficients in Lipschitz domains. (English) Zbl 07908377 Result. Math. 79, No. 5, Paper No. 215, 26 p. (2024). MSC: 35B45 31B10 31B25 31C45 35J10 35A01 35A02 35J91 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Arfaoui, Sabrine; Mabrouk, Anouar Ben Quantum solutions of a nonlinear Schrödinger equation. (English) Zbl 07908217 Iran. J. Numer. Anal. Optim. 14, No. 2, 330-346 (2024). MSC: 35C08 35Q55 65L80 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ahrami, Mohammed; El Allali, Zakaria Optimizing the first eigenvalue of nonlinear quantum graphs. (English) Zbl 07907994 Gulf J. Math. 17, No. 1, 29-43 (2024). MSC: 34B45 34L15 35J05 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Correia, Simão; Oliveira, Filipe; Silva, Jorge Drumond Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates. (English) Zbl 07906787 SIAM J. Math. Anal. 56, No. 4, 5604-5633 (2024). MSC: 35Q53 35Q55 35A01 35A02 35B65 35B44 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya; Murgante, Federico; Scrobogna, Stefano On asymptotic stability on a center hypersurface at the soliton for even solutions of the nonlinear Klein-Gordon equation when \(2 \geq p > \frac{5}{3}\). (English) Zbl 07906783 SIAM J. Math. Anal. 56, No. 4, 5445-5473 (2024). MSC: 35B40 35C08 35L71 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Sprenger, Patrick; Hoefer, Mark A.; Ilan, Boaz Whitham modulation theory and two-phase instabilities for generalized nonlinear Schrödinger equations with full dispersion. (English) Zbl 07906750 SIAM J. Appl. Math. 84, No. 4, 1337-1361 (2024). MSC: 35Q55 35Q41 35Q35 35Q31 76B03 35C20 35C07 35B10 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuang, Yonghui A general coupled derivative nonlinear Schrödinger system: Darboux transformation and soliton solutions. (English) Zbl 07906470 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 46, 15 p. (2024). MSC: 35Q55 37K35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sánchez de la Vega, Constanza; Borgna, Juan Pablo; Rial, Diego Optimal control for optical solitons in nematic liquid crystals. (English) Zbl 07906411 Appl. Math. Optim. 90, No. 2, Paper No. 31, 19 p. (2024). MSC: 35Q55 35Q60 78A60 49J20 49K20 81V45 35C08 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xu; Zhai, Hao; Zhao, Fukun A compact embedding result for nonlocal Sobolev spaces and multiplicity of sign-changing solutions for nonlocal Schrödinger equations. (English) Zbl 07906347 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 5, 1853-1876 (2024). MSC: 35R11 35J50 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yongming Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance. (English) Zbl 07906104 Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 206, 54 p. (2024). MSC: 35Q55 35Q41 35J10 35C08 35B20 35B40 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yongshuai; Qiu, Deqin; Shen, Shoufeng; He, Jingsong The revised Riemann-Hilbert approach to the Kaup-Newell equation with a non-vanishing boundary condition: simple poles and higher-order poles. (English) Zbl 07906086 J. Math. Phys. 65, No. 8, Article ID 083513, 21 p. (2024). MSC: 35Q15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yuan; Guo, Yuxia New type of solutions for Schrödinger equations with critical growth. (English) Zbl 07906049 J. Math. Phys. 65, No. 8, Article ID 081515, 35 p. (2024). MSC: 35Q55 35A01 35J61 35B09 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Yuanda; Zhang, Yimin Uniqueness and non-degeneracy of solutions for nonlinear fractional Schrödinger equation with perturbation. (English) Zbl 07906046 J. Math. Phys. 65, No. 8, Article ID 081512, 11 p. (2024). MSC: 35R11 35Q55 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Dongjin Corrigendum to: “Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data”. (English) Zbl 07905797 J. Math. Anal. Appl. 539, No. 2, Article ID 128529, 1 p. (2024). MSC: 35Q55 35Q41 35P25 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Gyeongha Probabilistic radial Strichartz estimates and its application. (English) Zbl 07905782 Funkc. Ekvacioj, Ser. Int. 67, No. 2, 199-216 (2024). MSC: 35Q55 35Q41 35J10 42B37 35B65 35A01 35A02 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Benmerrous, Abdelmjid; Chadli, Lalla saadia; Moujahid, Abdelaziz; Elomari, M’hamed; Melliani, Said Generalized solutions for time \(\psi \)-fractional evolution equations. (English) Zbl 07905425 Bol. Soc. Parana. Mat. (3) 42, Paper No. 146, 15 p. (2024). MSC: 46F05 35G25 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Ardila, Alex H.; Hamano, Masaru; Ikeda, Masahiro Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential. (English) Zbl 07903745 Evol. Equ. Control Theory 13, No. 5, 1401-1422 (2024). MSC: 35Q55 37K45 35P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aloui, Lassaad; Jbari, Sirine; Tayachi, Slim Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation. (English) Zbl 07903731 Evol. Equ. Control Theory 13, No. 4, 1126-1150 (2024). MSC: 35Q55 35Q41 35G20 35G25 35B40 35B44 35P25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Xuemei; Yang, Yunqing The localized excitation on the Jacobi elliptic function periodic background for the Gross-Pitaevskii equation. (English) Zbl 07903724 Appl. Math. Lett. 157, Article ID 109208, 7 p. (2024). MSC: 35Q55 37K35 35C08 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jing; Liu, Huan; Li, Fang; Geng, Xianguo Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation. (English) Zbl 07903722 Appl. Math. Lett. 157, Article ID 109206, 6 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 35B10 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Yongmei; Wang, Xiubin Exotic localized waves in the higher-order nonlinear Schrödinger equation with nonvanishing boundary conditions. (English) Zbl 07903697 Appl. Math. Lett. 157, Article ID 109171, 6 p. (2024). MSC: 35Q55 35Q41 35G30 35C08 35C05 37K10 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jiaxiang Efficient invariant-preserving scheme for the \(N\)-coupled nonlinear Schrödinger equations. (English) Zbl 07903692 Appl. Math. Lett. 157, Article ID 109166, 6 p. (2024). MSC: 65M06 65H10 65T50 35C08 35R09 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Jiao; Wang, Junyan; Li, Yihao Soliton and breather solutions of a reverse time nonlocal coupled nonlinear Schrödinger equation with four-wave mixing effect. (English) Zbl 07903691 Appl. Math. Lett. 157, Article ID 109165, 7 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Almuthaybiri, Saleh; Peng, Congming; Saanouni, Tarek Scattering threshold for the focusing energy-critical generalized Hartree equation. (English) Zbl 07903510 Open Math. 22, Article ID 20240002, 26 p. (2024). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zhou, Shan Infinitely many solutions for Schrödinger equations with Hardy potential and Berestycki-Lions conditions. (English) Zbl 07903495 Open Math. 22, Article ID 20230175, 9 p. (2024). MSC: 35J10 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
García, Claudia; Vega, Luis Steady solutions for the Schrödinger map equation. (English) Zbl 07903426 Commun. Partial Differ. Equations 49, No. 5-6, 505-542 (2024). MSC: 35Q35 35Q55 76B47 76E30 76U05 76M45 35B32 35C07 35A21 35R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhimani, Divyang; Gou, Tianxiang; Hajaiej, Hichem Normalized solutions to nonlinear Schrödinger equations with competing Hartree-type nonlinearities. (English) Zbl 07903095 Math. Nachr. 297, No. 7, 2543-2580 (2024). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Linares, Felipe; Mendez, Argenis J.; Pilod, Didier Well-posedness for the extended Schrödinger-Benjamin-Ono system. (English) Zbl 07903086 Vietnam J. Math. 52, No. 4, 1043-1066 (2024). MSC: 35Q55 35Q53 35A22 35B65 42A38 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Deng, Yu; Nahmod, Andrea R.; Yue, Haitian The probabilistic scaling paradigm. (English) Zbl 07903084 Vietnam J. Math. 52, No. 4, 1001-1015 (2024). MSC: 35Q55 35Q41 35Q60 35Q79 35R60 15A69 15B52 37E20 60H30 60H40 35B65 35A01 35A02 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv