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
Li, Tie; Niu, Yaoming; Xue, Ying The convergence rate for Schrödinger operators with complex time. (English) Zbl 07960129 J. Korean Math. Soc. 61, No. 6, 1145-1170 (2024). MSC: 35Q55 35Q41 35R09 42B25 42A38 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
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
Jia, Junqing; Jiang, Xiaoyun; Chi, Xiaoqing Improved uniform error bounds of Lawson-type exponential integrator method for long-time dynamics of the high-dimensional space fractional sine-Gordon equation. (English) Zbl 07932426 Numer. Algorithms 97, No. 3, 1179-1214 (2024). MSC: 65-XX 35R11 35Q55 65M12 65M15 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ningning; Zhang, Jing; Zhang, Yongqian Convergence of a quantum lattice Boltzmann scheme to the nonlinear Dirac equation for Gross-Neveu model in 1+1 dimensions. (English) Zbl 07930613 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 6, 2249-2273 (2024). MSC: 35L60 35Q40 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çöl, Aynur Spectral properties for a system of Dirac equations with nonlinear dependence on the spectral parameter. (English) Zbl 07930194 Demonstr. Math. 57, Article ID 20240022, 11 p. (2024). MSC: 34L25 81U40 34L40 34B07 81Q10 × 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: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
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 35Q41 35B44 35B30 35A01 35A02 35A15 47H10 × 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
Pusateri, Fabio; Soffer, Avraham Bilinear estimates in the presence of a large potential and a critical NLS in 3D. (English) Zbl 07913534 Memoirs of the American Mathematical Society 1498. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7067-8/pbk; 978-1-4704-7876-6/ebook). v, 107 p. (2024). Reviewer: Rémi Carles (Rennes) MSC: 35-02 35Q55 43A32 42B37 35P25 × 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 1547.35211 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 1546.35208 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
Iandoli, Felice On the quasilinear Schrödinger equations on tori. (English) Zbl 1547.35629 Ann. Mat. Pura Appl. (4) 203, No. 4, 1913-1930 (2024). MSC: 35Q55 35Q41 35A01 35A02 35M11 35S50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Yangkendi; Fan, Chenjie; Yang, Kailong; Zhao, Zehua; Zheng, Jiqiang On bilinear Strichartz estimates on waveguides with applications. (English) Zbl 1546.35176 J. Funct. Anal. 287, No. 9, Article ID 110595, 32 p. (2024). MSC: 35Q41 35Q55 35Q60 78A50 78A60 42A38 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 1547.35630 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 1547.35311 Adv. Nonlinear Anal. 13, Article ID 20240011, 35 p. (2024). MSC: 35J61 35Q55 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Pilah, Blaise Marius Mbiesset; Ndjanfang, Désiré; Donkeng, Hatou-Yvelin; Yemélé, David Compact bright pulse in inhomogeneous and nonlinear medium: case of the Bose-Einstein condensate. (English) Zbl 07881943 Wave Motion 127, Article ID 103274, 13 p. (2024). MSC: 82-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Raju, Thokala Soloman; Shreecharan, T. A study of phase-space dynamics for orthogonal polynomial self-interactions. (English) Zbl 1546.34049 Int. J. Theor. Phys. 63, No. 5, Paper No. 121, 14 p. (2024). MSC: 34C05 35Q55 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Konstantinou-Rizos, S.; Nikitina, A. A. Yang-Baxter maps of KdV, NLS and DNLS type on division rings. (English) Zbl 1547.37092 Physica D 465, Article ID 134213, 12 p. (2024). MSC: 37K60 39A36 16T25 17B38 35Q55 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Jin; Wang, Deng; Yang, Han Global well-posedness for the fourth-order Hartree-type Schrödinger equation with Cauchy data in \(L^p\). (English) Zbl 1541.35467 Math. Control Relat. Fields 14, No. 2, 533-550 (2024). MSC: 35Q55 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jiyong; Chen, Qianyu Improved uniform error bounds on an exponential wave integrator method for the nonlinear Schrödinger equation with wave operator and weak nonlinearity. (English) Zbl 07859317 Appl. Numer. Math. 201, 488-513 (2024). MSC: 65Mxx 35Qxx 81-XX × 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
Wang, Ying; Xu, Cheng Bin Scattering for the radial Schrödinger equation with combined power-type and Choquard-type nonlinearities. (English) Zbl 1539.35247 Acta Math. Sin., Engl. Ser. 40, No. 4, 1029-1041 (2024). MSC: 35Q55 35Q41 35P25 35A15 35B30 35B44 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Bettaibi, Youssef \(L^2_{\alpha}\)-solutions for nonlinear Schrödinger equations associated with the Weinstein operator. (English) Zbl 1536.35302 Indian J. Pure Appl. Math. 55, No. 1, 210-224 (2024). MSC: 35Q55 42B35 35Q41 42B37 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shahmurov, Rishad; Shakhmurov, Veli Multipoint problem for Schrödinger type equations with general elliptic part. (English) Zbl 1535.35155 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 1, 59-74 (2024). MSC: 35Q41 35Q55 35B65 35A01 35A02 47B25 46E40 × Cite Format Result Cite Review PDF Full Text: Link Link
Kim, Yong-Cheol Nonlocal Harnack inequalities for nonlocal \(p\)-Laplacian type Schrödinger operators with \(A^p_1\)-Muckenhoupt potentials. (English) Zbl 07807890 Commun. Pure Appl. Anal. 23, No. 1, 31-64 (2024). MSC: 47G20 45K05 35J60 35B65 35D30 60J75 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng; Zhao, Jikun; Wang, Zhongchi; Chen, Shaochun Conservative conforming and nonconforming VEMS for fourth order nonlinear Schrödinger equations with trapped term. (English) Zbl 07806681 J. Comput. Math. 42, No. 2, 454-499 (2024). MSC: 65M60 65M06 65N30 65N12 76D07 65N15 35Q55 35Q41 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gong; Pusateri, Fabio On the \(1d\) cubic NLS with a non-generic potential. (English) Zbl 1533.35307 Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024). MSC: 35Q55 35B40 35B34 35B65 42A38 35P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Collot, Charles; Dietert, Helge; Germain, Pierre Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence. (English) Zbl 1533.35310 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024). MSC: 35Q55 35Q41 35Q20 82C40 35B35 42B10 76F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rao, Jiguang; Mihalache, Dumitru; Ma, Minjie; He, Jingsong The coupled space-shifted nonlocal nonlinear Schrödinger equation: multiple bright-dark double-pole solitons, multiple negaton-type solitons, and their associated mixed solitons. (English) Zbl 1540.81039 Phys. Lett., A 493, Article ID 129244, 18 p. (2024). MSC: 81P68 35Q55 37G40 35C08 37K40 93B55 × 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
Liu, Xin; Tang, Qinglin; Zhang, Shaobo; Zhang, Yong On optimal zero-padding of kernel truncation method. (English) Zbl 1533.65261 SIAM J. Sci. Comput. 46, No. 1, A23-A49 (2024). Reviewer: Roberto Cavoretto (Torino) MSC: 65T50 65R10 65M70 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tautges, James Extremizers for adjoint restriction to a pair of reflected paraboloids. (English) Zbl 1530.42018 J. Funct. Anal. 286, No. 3, Article ID 110207, 22 p. (2024). MSC: 42B10 42B37 35Q55 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finco, Domenico; Tentarelli, Lorenzo; Teta, Alessandro Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity. (English) Zbl 1538.81028 Nonlinearity 37, No. 1, Article ID 015009, 48 p. (2024). MSC: 81Q35 35Q40 35Q55 35R06 33C55 33C10 33C45 44A15 47A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Palacios, José M.; Pusateri, Fabio Linearized dynamic stability for vortices of Ginzburg-Landau evolutions. arXiv:2409.04393 Preprint, arXiv:2409.04393 [math.AP] (2024). MSC: 35P25 81Q10 81Q05 43A32 35Q40 35L70 × Cite Format Result Cite Full Text: arXiv OA License
Zhao, Juan A Nekhoroshev type theorem for nonlinear Schrödinger equation on the \(d\)-dimensional torus. (English) Zbl 07898654 Houston J. Math. 49, No. 4, 899-919 (2023). MSC: 37K55 37J40 35B35 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
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
Trofimov, Vyacheslav; Loginova, Maria; Egorenkov, Vladimir; Yang, Yongqiang; Wang, Meng Cross-impact of beam local wavenumbers on the efficiency of self-adaptive artificial boundary conditions for two-dimensional nonlinear Schrödinger equation. (English) Zbl 1529.65110 Math. Methods Appl. Sci. 46, No. 15, 16006-16036 (2023). MSC: 65N06 35M33 35Q60 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Musayeva, M. A.; Hashimov, S. A. Identification problem for nonlinear Schrödinger type equation. (English) Zbl 1538.35347 TWMS J. Pure Appl. Math. 14, No. 2, 162-177 (2023). MSC: 35Q55 49N45 × Cite Format Result Cite Review PDF Full Text: Link
Serikbayev, Nurzhan; Saparbekova, Akbota Symmetry and conservation laws of the \((2+1)\)-dimensional nonlinear Schrödinger-type equation. (English) Zbl 1538.35350 Int. J. Geom. Methods Mod. Phys. 20, No. 10, Article ID 2350172, 17 p. (2023). MSC: 35Q55 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Anmin; Lu, Shuyao Normalized ground states for the Schrödinger equation with Hartree type and square-root nonlinearities. (English) Zbl 1531.81080 Mediterr. J. Math. 20, No. 6, Paper No. 330, 10 p. (2023). MSC: 81Q05 35J05 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Fuyi; Zhang, Cui; Liang, Zhanping Ground-state solutions of Schrödinger-type equation with magnetic field. (English) Zbl 1538.35153 Math. Methods Appl. Sci. 46, No. 16, 17511-17521 (2023). MSC: 35J60 35Q55 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Filipkovska, Maria Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function. (English) Zbl 1531.35300 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 096, 39 p. (2023). MSC: 35Q60 35Q15 35Q55 78A60 37K10 37K15 45E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kairzhan, Adilbek; Pusateri, Fabio Asymptotic stability near the soliton for quartic Klein-Gordon equation in 1D. (English) Zbl 1531.35065 Pure Appl. Anal. 5, No. 4, 795-832 (2023). MSC: 35B40 35C08 35L71 35P25 35Q55 42B37 43A32 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Cui; Li, Fuyi Sign-changing solutions to critical Schrödinger equation with Hartree-type nonlinearity. (English) Zbl 1532.35201 Z. Angew. Math. Phys. 74, No. 6, Paper No. 238, 28 p. (2023). MSC: 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Karjanto, Natanael On spatial Fourier spectrum of rogue wave breathers. (English) Zbl 1538.35119 Math. Methods Appl. Sci. 46, No. 3, 3405-3421 (2023). MSC: 35C08 35Q55 76B15 78A60 42A38 30E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Weizhu; Feng, Yue; Ma, Ying Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity. (English) Zbl 1527.65068 East Asian J. Appl. Math. 13, No. 3, 646-670 (2023). MSC: 65M06 65M70 35Q55 65M15 81Q80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rao, Jiguang; Kanna, T.; He, Jingsong Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type. (English) Zbl 1527.35391 Physica D 456, Article ID 133922, 18 p. (2023). MSC: 35Q55 35C08 35Q35 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Wen-Rong Spectral stability of elliptic solutions to the short-pulse equation. (English) Zbl 1527.35124 Physica D 456, Article ID 133916, 6 p. (2023). MSC: 35C07 35B35 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Neves, Wladimir; Orlando, Dionicio On fractional Benney type systems. (English) Zbl 1527.35476 SIAM J. Math. Anal. 55, No. 6, 7296-7327 (2023). MSC: 35R11 35D30 35Q60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Houwe, Alphonse; Abbagari, Souleymanou; Akinyemi, Lanre; Saliou, Youssoufa; Justin, Mibaile; Doka, Serge Yamigno Modulation instability, bifurcation analysis and solitonic waves in nonlinear optical media with odd-order dispersion. (English) Zbl 1535.81109 Phys. Lett., A 488, Article ID 129134, 14 p. (2023). MSC: 81Q05 35Q55 94A14 70K50 37G10 81Q50 35C08 78A60 78A48 81U30 76F65 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Dias, Nuno Costa; Prata, João Nuno; Teofanov, Nenad Gabor products and a phase space approach to nonlinear analysis. (English) Zbl 1527.35372 Anal. Appl., Singap. 21, No. 6, 1417-1446 (2023). MSC: 35Q55 35Q41 42B10 42B35 81Q05 81P16 × Cite Format Result Cite Review PDF Full Text: DOI
Mayorga-Zambrano, Juan; Narváez-Vaca, Daniel A non-trivial solution for a \(p\)-Schrödinger-Kirchhoff-type integro-differential system by non-smooth techniques. (English) Zbl 1526.45008 Ann. Funct. Anal. 14, No. 4, Paper No. 77, 25 p. (2023). Reviewer: Vincenzo Vespri (Firenze) MSC: 45K05 35J60 49J52 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Mu, Pengcong; Zheng, Weiying A positivity-preserving finite element method for quantum drift-diffusion model. (English) Zbl 07750348 J. Comput. Math. 41, No. 5, 909-932 (2023). MSC: 65N30 65K10 65H10 47J26 81V74 82D80 35Q81 35Q60 82D37 81Q05 35J60 49M15 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Ichimiya, Mikio; Nakamura, Makoto On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime. (English) Zbl 1520.35143 Evol. Equ. Control Theory 12, No. 6, 1602-1628 (2023). MSC: 35Q55 35L71 35Q75 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Juncheng; Wu, Yuanze On some nonlinear Schrödinger equations in \(\mathbb{R}^N\). (English) Zbl 1522.35180 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1503-1528 (2023). MSC: 35J10 35J61 35Q55 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Fang; Rao, Jiguang; Mihalache, Dumitru; He, Jingsong The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation. (English) Zbl 1522.35481 Appl. Math. Lett. 146, Article ID 108796, 8 p. (2023). MSC: 35Q55 35Q41 35C08 × 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
Chen, Huizhan; Zheng, Shengjia Darboux transformation for nonlinear Schrödinger type hierarchies. (English) Zbl 1527.37076 Physica D 454, Article ID 133863, 11 p. (2023). MSC: 37K35 37K10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Alfimov, G. L.; Fedotov, A. P.; Kutsenko, N. A.; Zezyulin, D. A. Stationary modes for vector nonlinear Schrödinger-type equations: a numerical procedure for complete search and its mathematical background. (English) Zbl 1525.34051 Physica D 454, Article ID 133858, 14 p. (2023). MSC: 34B16 34B30 68V05 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zifei; Yang, Minbo; Ye, Weiwei Semiclassical nodal solutions for the Choquard equation. (English) Zbl 07729565 Differ. Integral Equ. 36, No. 9-10, 775-812 (2023). MSC: 35B25 35J61 35J15 45E10 45G05 × Cite Format Result Cite Review PDF Full Text: DOI
Kishimoto, Nobu; Tsutsumi, Yoshio Well-posedness of the Cauchy problem for the kinetic DNLS on \(\mathbb{T}\). (English) Zbl 1517.35209 J. Hyperbolic Differ. Equ. 20, No. 1, 27-75 (2023). MSC: 35Q55 35M11 35A01 35B30 35B65 × 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
Hoshino, Gaku Space-time analytic smoothing effect for the nonlinear Schrödinger equations with nonlinearity of exponential type. (English) Zbl 1524.35586 Differ. Equ. Appl. 15, No. 1, 73-90 (2023). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Rui-feng Existence of optical vortex solitons in pair plasmas. (English) Zbl 1519.35091 Acta Math. Appl. Sin., Engl. Ser. 39, No. 3, 571-582 (2023). MSC: 35J20 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Konstantinou-Rizos, Sotiris Parametric 4-simplex maps of degenerated NLS type. (English) Zbl 1535.16042 Lobachevskii J. Math. 44, No. 3, 911-919 (2023). MSC: 16T25 35Q55 81R12 82B23 × 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
Dutta, Hemen (ed.) Mathematical modelling. Principle and theory. (English) Zbl 1520.78005 Contemporary Mathematics 786. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6964-1/pbk; 978-1-4704-7388-4/ebook). viii, 244 p. (2023). MSC: 78-06 74-06 76-06 80-06 78A40 78A97 74-10 74G60 74K25 58K35 80A19 26A33 35R11 35J35 35B38 35J87 76D05 76A05 35B32 65N99 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Benboubker, Mohamed Badr; Benkhalou, Hayat; Hjiaj, Hassane; Nyanquini, Ismael Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions. (English) Zbl 1518.35331 Rend. Circ. Mat. Palermo (2) 72, No. 4, 2831-2855 (2023). MSC: 35J61 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Rui; Tang, Xianhua Existence and asymptotic behavior of solutions for Choquard equations with singular potential under Berestycki-Lions type conditions. (English) Zbl 1522.35482 Asymptotic Anal. 132, No. 3-4, 427-450 (2023). MSC: 35Q55 35Q40 35D30 35B38 35B65 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Binlin, Zhang; Han, Xiumei; Van Thin, Nguyen Schrödinger-Kirchhof-type problems involving the fractional \(p\)-Laplacian with exponential growth. (English) Zbl 1518.35619 Appl. Anal. 102, No. 7, 1942-1974 (2023). MSC: 35R11 35A15 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
de Albuquerque, José Carlos; Santos, José Luando Schrödinger equations with Stein-Weiss type nonlinearity and potential vanishing at infinity. (English) Zbl 1518.35264 Mediterr. J. Math. 20, No. 4, Paper No. 218, 25 p. (2023). MSC: 35J10 35Q55 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
He, Ying; Zhao, Xiaofei Numerical methods for some nonlinear Schrödinger equations in soliton management. (English) Zbl 1516.65105 J. Sci. Comput. 95, No. 2, Paper No. 61, 31 p. (2023). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 65Z05 35C08 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Xiaoyan; Wang, Ying; Xu, Guixiang A Mikhlin-type multiplier theorem for the partial harmonic oscillator. (English) Zbl 1514.42012 Forum Math. 35, No. 3, 831-841 (2023). MSC: 42B15 42B25 42B37 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for the derivative fractional nonlinear Schrödinger equation. (English) Zbl 1515.35248 J. Math. Anal. Appl. 525, No. 2, Article ID 127222, 28 p. (2023). MSC: 35Q55 35Q41 35P25 35B40 42A38 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ming; Li, Ze; Huang, Shanlin Unique continuation inequalities for nonlinear Schrödinger equations based on uncertainty principles. (English) Zbl 1514.35415 Indiana Univ. Math. J. 72, No. 1, 133-164 (2023). MSC: 35Q55 35Q41 39A12 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Konstantinou-Rizos, S. Birational solutions to the set-theoretical 4-simplex equation. (English) Zbl 1518.39007 Physica D 448, Article ID 133696, 15 p. (2023). MSC: 39A36 16T25 35Q55 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Phuong Finite Morse index solutions of a nonlinear Schrödinger equation. (English) Zbl 1514.35406 Acta Math. Sin., Engl. Ser. 39, No. 3, 513-522 (2023). MSC: 35Q55 35J61 35B35 35B53 35B33 37B30 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Changxing; Tang, Xingdong; Xu, Guixiang Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case. (English) Zbl 1515.35256 J. Differ. Equations 361, 339-375 (2023). Reviewer: Jiqiang Zheng (Beijing) MSC: 35Q55 35Q41 35B35 35B20 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Shimin; Mei, Liquan; Yan, Wenjing; Li, Ying Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains. (English) Zbl 1521.65097 SIAM J. Sci. Comput. 45, No. 2, B200-B230 (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M70 65M06 65N35 65H10 35C08 35M33 65Z05 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Lu; Zhao, Yajuan; Li, Yongsheng Well-posedness and blow-up for the fractional Schrödinger-Choquard equation. (English) Zbl 1524.35721 J. Partial Differ. Equations 36, No. 1, 82-101 (2023). MSC: 35R11 35B44 35A01 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Bowen On the blow-up solutions for the nonlinear radial Schrödinger equations with spatial variable coefficients. (English) Zbl 1508.35165 Osaka J. Math. 60, No. 1, 31-42 (2023). MSC: 35Q55 35Q41 35B44 35M11 37K10 × Cite Format Result Cite Review PDF Full Text: Link
Mayorga-Zambrano, Juan; Murillo-Tobar, Josué; Macancela-Bojorque, Abraham Multiplicity of solutions for a \(p\)-Schrödinger-Kirchhoff-type integro-differential equation. (English) Zbl 1507.45005 Ann. Funct. Anal. 14, No. 2, Paper No. 33, 19 p. (2023). Reviewer: Vincenzo Vespri (Firenze) MSC: 45K05 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Fujiwara, Kazumasa Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity. (English) Zbl 1504.35419 J. Evol. Equ. 23, No. 1, Paper No. 11, 12 p. (2023). MSC: 35Q40 35Q55 35D30 35A01 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity. (English) Zbl 1504.35483 J. Evol. Equ. 23, No. 1, Paper No. 1, 54 p. (2023). MSC: 35Q55 35Q41 35B40 35P25 × Cite Format Result Cite Review PDF Full Text: DOI
Capistrano-Filho, Roberto de A.; Cavalcante, Márcio; Gallego, Fernando A. Controllability for Schrödinger type system with mixed dispersion on compact star graphs. (English) Zbl 1504.35423 Evol. Equ. Control Theory 12, No. 1, 1-19 (2023). MSC: 35Q41 35Q55 31A30 35G30 35R02 93B05 93B07 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deliktas-Ozdemir, Ekin Nonlinear Love-type waves in a heterogeneous layer sandwiched between two semi-infinite media. (English) Zbl 1504.35534 Z. Angew. Math. Phys. 74, No. 1, Paper No. 7, 18 p. (2023). MSC: 35Q74 35Q55 35B20 35B40 35C08 35C20 35G30 74B20 74E05 74J30 74J35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Shenghao; Yang, Xin A lower index bilinear estimate for the quadratic Schrödinger equation and application for its half line problem. arXiv:2309.15773 Preprint, arXiv:2309.15773 [math.AP] (2023). MSC: 35C15 35M13 35Q55 × Cite Format Result Cite Full Text: arXiv OA License
Zhu, Yongxing Quantized Vortex Dynamics of the Nonlinear Schrödinger Equation with Wave Operator on the Torus. arXiv:2308.10640 Preprint, arXiv:2308.10640 [math.AP] (2023). MSC: 35B40 35M10 35Q40 35Q55 × Cite Format Result Cite Full Text: arXiv
Duan, Zhiwen; Wei, Lei Dispersive decay estimates for the magnetic Schrödinger equations. arXiv:2308.04121 Preprint, arXiv:2308.04121 [math.AP] (2023). MSC: 35Q60 35B40 35Q55 42A38 × Cite Format Result Cite Full Text: arXiv OA License
Collot, Charles; Germain, Pierre Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schrödinger Equations. arXiv:2306.03668 Preprint, arXiv:2306.03668 [math.AP] (2023). MSC: 35Q55 35B40 43A32 74J35 × Cite Format Result Cite Full Text: arXiv OA License
Han, Maoan; Chen, Guanrong; Li, Jibin Periodic peakons and compacton families of the Hirota-type peakon equation. (English) Zbl 1541.35457 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 13, Article ID 2250204, 12 p. (2022). MSC: 35Q55 35C08 35C07 35B32 37K40 37K50 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Rashid, Saima; Kubra, Khadija T.; Jafari, Hossein; Lehre, Sana Ullah A semi-analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers. (English) Zbl 1531.35365 Math. Methods Appl. Sci. 45, No. 2, 1033-1062 (2022). MSC: 35R11 35G25 35C10 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Kailong On multilinear distorted multiplier estimate and its applications. (English) Zbl 1529.35316 Math. Methods Appl. Sci. 45, No. 4, 1959-1979 (2022). MSC: 35P25 35Q55 42B15 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hughes, Kevin; Wooley, Trevor D. Discrete restriction for \((x,x^3)\) and related topics. (English) Zbl 1541.11084 Int. Math. Res. Not. 2022, No. 20, 15612-15631 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P55 11P05 35Q55 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cingolani, Silvia; Gallo, Marco On some qualitative aspects for doubly nonlocal equations. (English) Zbl 1518.35623 Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3603-3620 (2022). MSC: 35R11 35B06 35B09 35B38 35B65 35J61 35Q40 35R09 45M20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yanan; Teng, Kaimin Ground state solutions for quasilinear Schrödinger equation of Choquard type. (Chinese. English summary) Zbl 1524.35607 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 3, 730-748 (2022). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
Camps, Nicolas Asymptotic stability of small ground states for NLS under random perturbations. (English) Zbl 1519.35283 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261-1318 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q41 35Q51 35B40 42B10 42B37 35A01 35A02 35B35 35P30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morato, Laura M. Free time evolution of the quantum wave function and optimal transportation. (English) Zbl 1507.35261 J. Math. Phys. 63, No. 10, Article ID 103508, 9 p. (2022). MSC: 35Q55 49Q22 81P20 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Hai-jing; Zhao, Song-lin Cauchy matrix solutions of some local and nonlocal complex equations. (English. Russian original) Zbl 1516.35216 Theor. Math. Phys. 213, No. 2, 1513-1542 (2022); translation from Teor. Mat. Fiz. 213, No. 2, 234-267 (2022). MSC: 35K10 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv