Hoshino, Gaku Asymptotic behavior for solutions to the vector nonlinear Schrödinger equations. (English) Zbl 07739952 J. Math. Anal. Appl. 529, No. 1, Article ID 127604, 19 p. (2024). MSC: 35Q55 35Q41 35B40 35B33 35A01 35A02 78A60 PDF BibTeX XML Cite \textit{G. Hoshino}, J. Math. Anal. Appl. 529, No. 1, Article ID 127604, 19 p. (2024; Zbl 07739952) Full Text: DOI
Jian, Hui; Zhong, Qiaocheng; Wang, Li Positive solutions for fractional Kirchhoff-Schrödinger-Poisson system with steep potential well. (English) Zbl 07742590 Rev. Math. Phys. 35, No. 7, Article ID 2350024, 24 p. (2023). MSC: 35J20 35J60 35B40 35R11 PDF BibTeX XML Cite \textit{H. Jian} et al., Rev. Math. Phys. 35, No. 7, Article ID 2350024, 24 p. (2023; Zbl 07742590) 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 07742549 Evol. Equ. Control Theory 12, No. 6, 1602-1628 (2023). MSC: 35Q55 35L71 35Q75 PDF BibTeX XML Cite \textit{M. Ichimiya} and \textit{M. Nakamura}, Evol. Equ. Control Theory 12, No. 6, 1602--1628 (2023; Zbl 07742549) Full Text: DOI
Gan, Zaihui; Wang, Yue Existence and instability of standing wave for the two-wave model with quadratic interaction. (English) Zbl 07742483 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 224, 35 p. (2023). MSC: 35B44 35Q55 PDF BibTeX XML Cite \textit{Z. Gan} and \textit{Y. Wang}, Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 224, 35 p. (2023; Zbl 07742483) Full Text: DOI arXiv
Long, Lei; Feng, Xiaojing Normalized solutions to the Schrödinger systems with double critical growth and weakly attractive potentials. (English) Zbl 07742376 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 42, 22 p. (2023). MSC: 35J50 35J60 PDF BibTeX XML Cite \textit{L. Long} and \textit{X. Feng}, Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 42, 22 p. (2023; Zbl 07742376) Full Text: DOI
Costa, Gustavo S. A.; Figueiredo, Giovany Malcher; Junior, José Carlos Oliveira Solutions for a quasilinear elliptic problem with indefinite nonlinearity with critical growth. (English) Zbl 07742358 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 24, 19 p. (2023). MSC: 35J60 35J10 35J20 PDF BibTeX XML Cite \textit{G. S. A. Costa} et al., Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 24, 19 p. (2023; Zbl 07742358) Full Text: DOI
Wang, Lixia; Xiong, Chunlian; Zhao, Pingping On the existence and multiplicity of solutions for nonlinear Klein-Gordon-Maxwell system. (English) Zbl 07742353 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 19, 18 p. (2023). MSC: 35B33 35J65 35Q55 PDF BibTeX XML Cite \textit{L. Wang} et al., Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 19, 18 p. (2023; Zbl 07742353) Full Text: DOI
Zhang, Jing; Ji, Chao Sign-changing solutions for a modified quasilinear Kirchhoff-Schrödinger-Poisson system via perturbation method. (English) Zbl 07742034 Complex Var. Elliptic Equ. 68, No. 10, 1715-1733 (2023). MSC: 35Jxx 35A15 35J10 35J60 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{C. Ji}, Complex Var. Elliptic Equ. 68, No. 10, 1715--1733 (2023; Zbl 07742034) Full Text: DOI
Boulaaras, Salah; Ghanmi, Radhia; Saanouni, Tarek Scattering threshold for a focusing inhomogeneous non-linear Schrödinger equation with inverse square potential. (English) Zbl 07741566 Bound. Value Probl. 2023, Paper No. 68, 18 p. (2023). MSC: 35Q55 PDF BibTeX XML Cite \textit{S. Boulaaras} et al., Bound. Value Probl. 2023, Paper No. 68, 18 p. (2023; Zbl 07741566) Full Text: DOI
Xie, Wei-Kang; Fan, Fang-Cheng Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation. (English) Zbl 07741469 Z. Angew. Math. Phys. 74, No. 5, Paper No. 182, 14 p. (2023). MSC: 35Q51 35Q53 35Q55 35C08 37K40 37K10 82D40 PDF BibTeX XML Cite \textit{W.-K. Xie} and \textit{F.-C. Fan}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 182, 14 p. (2023; Zbl 07741469) Full Text: DOI
Chems Eddine, Nabil Multiple solutions for a class of generalized critical noncooperative Schrödinger systems in \(\mathbb{R}^N\). (English) Zbl 07741390 Result. Math. 78, No. 6, Paper No. 226, 37 p. (2023). MSC: 35Jxx 35B20 35B33 35D30 35J50 35J60 46E35 PDF BibTeX XML Cite \textit{N. Chems Eddine}, Result. Math. 78, No. 6, Paper No. 226, 37 p. (2023; Zbl 07741390) Full Text: DOI
Li, Zitian; Xu, Shuwei The rogue wave type solutions from multiple solitons interactions in the rotating reduced Maxwell-Bloch equations. (English) Zbl 07741244 Appl. Math. Lett. 146, Article ID 108826, 7 p. (2023). MSC: 35Q60 35Q55 35C08 37K40 78A60 78M34 PDF BibTeX XML Cite \textit{Z. Li} and \textit{S. Xu}, Appl. Math. Lett. 146, Article ID 108826, 7 p. (2023; Zbl 07741244) 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 07741224 Appl. Math. Lett. 146, Article ID 108796, 8 p. (2023). MSC: 35Q55 35Q41 35C08 PDF BibTeX XML Cite \textit{F. Zhou} et al., Appl. Math. Lett. 146, Article ID 108796, 8 p. (2023; Zbl 07741224) Full Text: DOI
Du, Miao Positive solutions for the Schrödinger-Poisson system with steep potential well. (English) Zbl 07741148 Commun. Contemp. Math. 25, No. 10, Article ID 2250056, 21 p. (2023). MSC: 35J20 35J60 35B40 PDF BibTeX XML Cite \textit{M. Du}, Commun. Contemp. Math. 25, No. 10, Article ID 2250056, 21 p. (2023; Zbl 07741148) Full Text: DOI arXiv
Carles, Rémi; Sparber, Christof On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions. (English) Zbl 07741054 Proc. Am. Math. Soc. 151, No. 10, 4173-4189 (2023). MSC: 35Q55 35Q41 35C08 35B35 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{R. Carles} and \textit{C. Sparber}, Proc. Am. Math. Soc. 151, No. 10, 4173--4189 (2023; Zbl 07741054) Full Text: DOI arXiv
Bellazzini, Jacopo; Forcella, Luigi; Georgiev, Vladimir Ground state energy threshold and blow-up for NLS with competing nonlinearities. (English) Zbl 07741039 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 2, 955-988 (2023). MSC: 35Q55 35Q41 35B40 35B44 35J91 35J20 35A01 35B20 35B09 PDF BibTeX XML Cite \textit{J. Bellazzini} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 2, 955--988 (2023; Zbl 07741039) Full Text: DOI arXiv
Lee, Jae Min; Lenells, Jonatan The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. (English) Zbl 07740430 Proc. Lond. Math. Soc. (3) 126, No. 1, 334-389 (2023). MSC: 35Q55 35B40 35Q15 37K40 PDF BibTeX XML Cite \textit{J. M. Lee} and \textit{J. Lenells}, Proc. Lond. Math. Soc. (3) 126, No. 1, 334--389 (2023; Zbl 07740430) Full Text: DOI arXiv
Chen, Haixia; Yang, Xiaolong Prescribed mass solutions to Schrödinger systems with linear coupled terms. (English) Zbl 07739367 J. Geom. Anal. 33, No. 11, Paper No. 347, 32 p. (2023). MSC: 35J47 35J61 35A01 35A15 PDF BibTeX XML Cite \textit{H. Chen} and \textit{X. Yang}, J. Geom. Anal. 33, No. 11, Paper No. 347, 32 p. (2023; Zbl 07739367) Full Text: DOI
Chen, Taiyong; Jiang, Yahui; Squassina, Marco; Zhang, Jianjun Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency. (English) Zbl 07739269 Asymptotic Anal. 134, No. 1-2, 127-154 (2023). MSC: 35Q55 35Q41 35A15 35B09 35A01 PDF BibTeX XML Cite \textit{T. Chen} et al., Asymptotic Anal. 134, No. 1--2, 127--154 (2023; Zbl 07739269) Full Text: DOI arXiv
Yagasaki, Kazuyuki; Yamazoe, Shotaro Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations. (English) Zbl 07739117 J. Differ. Equations 372, 348-401 (2023). MSC: 35B32 35B35 35C08 35Q55 37K45 37K50 PDF BibTeX XML Cite \textit{K. Yagasaki} and \textit{S. Yamazoe}, J. Differ. Equations 372, 348--401 (2023; Zbl 07739117) Full Text: DOI arXiv
Ambrosio, Vincenzo The nonlinear \((p,q)\)-Schrödinger equation with a general nonlinearity: existence and concentration. (English. French summary) Zbl 07738547 J. Math. Pures Appl. (9) 178, 141-184 (2023). MSC: 35B25 35J20 35J92 PDF BibTeX XML Cite \textit{V. Ambrosio}, J. Math. Pures Appl. (9) 178, 141--184 (2023; Zbl 07738547) Full Text: DOI
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego Failure of scattering for the NLSE with a point interaction in dimension two and three. (English) Zbl 07738412 Nonlinearity 36, No. 10, 5298-5310 (2023). MSC: 35J10 35Q55 35A21 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., Nonlinearity 36, No. 10, 5298--5310 (2023; Zbl 07738412) Full Text: DOI arXiv
Tang, Na; Zhang, Jian Energy criteria of global existence for a class of Hartree equations with Coulomb potential. (English) Zbl 07736608 Math. Appl. Sci. Eng. 4, No. 1, 61-78 (2023). MSC: 35Q55 35B44 35A01 35A02 78A60 PDF BibTeX XML Cite \textit{N. Tang} and \textit{J. Zhang}, Math. Appl. Sci. Eng. 4, No. 1, 61--78 (2023; Zbl 07736608) Full Text: DOI
Chen, Huizhan; Zheng, Shengjia Darboux transformation for nonlinear Schrödinger type hierarchies. (English) Zbl 07736393 Physica D 454, Article ID 133863, 11 p. (2023). MSC: 37-XX 35-XX PDF BibTeX XML Cite \textit{H. Chen} and \textit{S. Zheng}, Physica D 454, Article ID 133863, 11 p. (2023; Zbl 07736393) 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 07736388 Physica D 454, Article ID 133858, 14 p. (2023). MSC: 34-XX 35-XX PDF BibTeX XML Cite \textit{G. L. Alfimov} et al., Physica D 454, Article ID 133858, 14 p. (2023; Zbl 07736388) Full Text: DOI
Wen, Lili; Chen, Yong; Xu, Jian The long-time asymptotics of the derivative nonlinear Schrödinger equation with step-like initial value. (English) Zbl 07736385 Physica D 454, Article ID 133855, 28 p. (2023). MSC: 35Q55 35Q41 35Q15 35B40 33C10 PDF BibTeX XML Cite \textit{L. Wen} et al., Physica D 454, Article ID 133855, 28 p. (2023; Zbl 07736385) Full Text: DOI arXiv
Liu, Jianlun; Zhang, Ziheng Normalized solutions to biharmonic Schrödinger equation with critical growth in \(\mathbb{R}^N\). (English) Zbl 07735392 Comput. Appl. Math. 42, No. 6, Paper No. 276, 23 p. (2023). MSC: 35A15 35J35 35J50 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Z. Zhang}, Comput. Appl. Math. 42, No. 6, Paper No. 276, 23 p. (2023; Zbl 07735392) Full Text: DOI
Pan, Xing-Bin; Xiang, Xingfei On the shape of Meissner solutions to the 2-dimensional Ginzburg-Landau system. (English) Zbl 07735160 Math. Ann. 387, No. 1-2, 541-613 (2023). MSC: 82D55 35B25 35Q55 PDF BibTeX XML Cite \textit{X.-B. Pan} and \textit{X. Xiang}, Math. Ann. 387, No. 1--2, 541--613 (2023; Zbl 07735160) Full Text: DOI
Faure, Frédéric Manifestation of the topological index formula in quantum waves and geophysical waves. (Manifestation de la formule de l’indice topologique dans les ondes quantiques et les ondes géophysiques.) (English. French summary) Zbl 07734714 Ann. Henri Lebesgue 6, 449-492 (2023). MSC: 35Q86 35Q35 86A05 86A10 76B15 76U60 76Y05 81V55 55R50 47A53 19K56 81Q20 81Q05 PDF BibTeX XML Cite \textit{F. Faure}, Ann. Henri Lebesgue 6, 449--492 (2023; Zbl 07734714) Full Text: DOI arXiv
Dinh, Van Duong; Majdoub, Mohamed; Saanouni, Tarek Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity. (English) Zbl 07734563 J. Math. Phys. 64, No. 8, Article ID 081509, 41 p. (2023). MSC: 35Q55 35P25 35B40 35B44 35B45 PDF BibTeX XML Cite \textit{V. D. Dinh} et al., J. Math. Phys. 64, No. 8, Article ID 081509, 41 p. (2023; Zbl 07734563) Full Text: DOI arXiv
Täufer, Matthias Controllability of the Schrödinger equation on unbounded domains without geometric control condition. (English) Zbl 07734431 ESAIM, Control Optim. Calc. Var. 29, Paper No. 59, 11 p. (2023). MSC: 93B05 93C20 35Q55 PDF BibTeX XML Cite \textit{M. Täufer}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 59, 11 p. (2023; Zbl 07734431) Full Text: DOI arXiv
Campos, Luccas; Murphy, Jason Threshold solutions for the intercritical inhomogeneous NLS. (English) Zbl 07733779 SIAM J. Math. Anal. 55, No. 4, 3807-3843 (2023). MSC: 35Q55 35Q41 35P25 35P30 35B40 35B44 78A60 PDF BibTeX XML Cite \textit{L. Campos} and \textit{J. Murphy}, SIAM J. Math. Anal. 55, No. 4, 3807--3843 (2023; Zbl 07733779) Full Text: DOI arXiv
Maeda, Masaya; Yoneda, Masafumi Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice. (English) Zbl 07733547 SUT J. Math. 59, No. 1, 11-32 (2023). MSC: 35Q55 35Q41 37K40 35C08 35B40 35B35 78A60 PDF BibTeX XML Cite \textit{M. Maeda} and \textit{M. Yoneda}, SUT J. Math. 59, No. 1, 11--32 (2023; Zbl 07733547) Full Text: DOI arXiv
Henning, Patrick; Persson, Anna On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in localized orthogonal decomposition spaces. (English) Zbl 07733302 Multiscale Model. Simul. 21, No. 3, 993-1011 (2023). MSC: 35Q55 65N15 65N25 65N30 82C10 PDF BibTeX XML Cite \textit{P. Henning} and \textit{A. Persson}, Multiscale Model. Simul. 21, No. 3, 993--1011 (2023; Zbl 07733302) Full Text: DOI arXiv
Tsolias, G. A.; Decker, Robert J.; Demirkaya, A.; Alexander, T. J.; Parker, Ross; Kevrekidis, P. G. Kink-antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion. (English) Zbl 07733031 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107362, 20 p. (2023). MSC: 35Q55 35Q41 35C08 35B32 78A60 PDF BibTeX XML Cite \textit{G. A. Tsolias} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107362, 20 p. (2023; Zbl 07733031) Full Text: DOI arXiv
Bogdanov, Stepan; Shepelsky, Dmitry; Vasylchenkova, Anastasiia; Sedov, Egor; Freire, Pedro J.; Turitsyn, Sergei K.; Prilepsky, Jaroslaw E. Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks. (English) Zbl 07733004 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107311, 14 p. (2023). MSC: 35Q55 35Q41 35Q15 68T07 68T05 62F15 62C10 37K15 68W50 PDF BibTeX XML Cite \textit{S. Bogdanov} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107311, 14 p. (2023; Zbl 07733004) Full Text: DOI
Yao, Shuai; Chen, Haibo; Sun, Juntao Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect. (English) Zbl 07732870 Sci. China, Math. 66, No. 9, 2057-2080 (2023). MSC: 35Q40 35Q55 35B35 35B38 35B40 35J20 35J61 35A15 35A01 35R02 PDF BibTeX XML Cite \textit{S. Yao} et al., Sci. China, Math. 66, No. 9, 2057--2080 (2023; Zbl 07732870) Full Text: DOI
Luz, R. R.; Abu-Shady, M.; Petronilo, G. X. A.; Santana, A. E.; Amorim, R. G. G. Fractional effective quark-antiquark interaction in symplectic quantum mechanics. (English) Zbl 07732297 Adv. High Energy Phys. 2023, Article ID 8366154, 7 p. (2023). MSC: 81V05 81V05 35Q55 81S10 PDF BibTeX XML Cite \textit{R. R. Luz} et al., Adv. High Energy Phys. 2023, Article ID 8366154, 7 p. (2023; Zbl 07732297) Full Text: DOI arXiv
Cho, Yonggeun; Hong, Seokchang; Lee, Kiyeon Scattering and nonscattering of the Hartree-type nonlinear Dirac system at critical regularity. (English) Zbl 07731454 SIAM J. Math. Anal. 55, No. 4, 3395-3419 (2023). MSC: 35Q41 35Q55 35Q40 35B40 35B65 35A01 35A02 35P25 PDF BibTeX XML Cite \textit{Y. Cho} et al., SIAM J. Math. Anal. 55, No. 4, 3395--3419 (2023; Zbl 07731454) Full Text: DOI arXiv
Luo, Yongming On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry. (English. French summary) Zbl 07731007 J. Math. Pures Appl. (9) 177, 415-454 (2023). MSC: 35Q55 35Q41 35Q40 35Q51 49J40 35P25 35C08 35B32 35B44 78A60 78A50 35R01 PDF BibTeX XML Cite \textit{Y. Luo}, J. Math. Pures Appl. (9) 177, 415--454 (2023; Zbl 07731007) Full Text: DOI arXiv
Killip, Rowan; Ntekoume, Maria; Vişan, Monica On the well-posedness problem for the derivative nonlinear Schrödinger equation. (English) Zbl 07730958 Anal. PDE 16, No. 5, 1245-1270 (2023). MSC: 35Q55 35Q41 35A01 35A02 37K10 PDF BibTeX XML Cite \textit{R. Killip} et al., Anal. PDE 16, No. 5, 1245--1270 (2023; Zbl 07730958) Full Text: DOI arXiv
Feola, Roberto; Grébert, Benoît; Iandoli, Felice Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori. (English) Zbl 07730956 Anal. PDE 16, No. 5, 1133-1203 (2023). MSC: 37K45 35S50 35B35 35B45 35L05 35Q55 PDF BibTeX XML Cite \textit{R. Feola} et al., Anal. PDE 16, No. 5, 1133--1203 (2023; Zbl 07730956) Full Text: DOI arXiv
Yuan, Shuai; Tang, Xianhua; Chen, Sitong Normalized solutions for Schrödinger equations with Stein-Weiss potential of critical exponential growth. (English) Zbl 07730890 J. Geom. Anal. 33, No. 10, Paper No. 341, 38 p. (2023). MSC: 35J20 35J61 35Q55 PDF BibTeX XML Cite \textit{S. Yuan} et al., J. Geom. Anal. 33, No. 10, Paper No. 341, 38 p. (2023; Zbl 07730890) Full Text: DOI
Yamashita, Ryusei A remark on the local uniqueness by the monotonicity based method for the magnetic Schrödinger equation. (English) Zbl 07730725 Commun. Pure Appl. Anal. 22, No. 8, 2547-2558 (2023). MSC: 35Q55 35Q40 35R30 35P15 35A02 PDF BibTeX XML Cite \textit{R. Yamashita}, Commun. Pure Appl. Anal. 22, No. 8, 2547--2558 (2023; Zbl 07730725) Full Text: DOI
Compaan, E.; Tzirakis, N. Low regularity well-posedness for dispersive equations on semi-infinite intervals. (English) Zbl 07730722 Commun. Pure Appl. Anal. 22, No. 8, 2481-2500 (2023). MSC: 35Q55 35Q41 35B65 35A01 35A02 31A30 76W05 PDF BibTeX XML Cite \textit{E. Compaan} and \textit{N. Tzirakis}, Commun. Pure Appl. Anal. 22, No. 8, 2481--2500 (2023; Zbl 07730722) Full Text: DOI
Bamri, Chourouk; Tayachi, Slim Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping. (English) Zbl 07730718 Commun. Pure Appl. Anal. 22, No. 8, 2365-2399 (2023). MSC: 35Q55 35Q41 35B40 35B33 35A01 35A02 35B05 PDF BibTeX XML Cite \textit{C. Bamri} and \textit{S. Tayachi}, Commun. Pure Appl. Anal. 22, No. 8, 2365--2399 (2023; Zbl 07730718) Full Text: DOI
Cai, Yongyong; Zhou, Xuanxuan Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime. (English) Zbl 07730433 Numer. Algorithms 94, No. 1, 371-396 (2023). MSC: 65-XX 35Q41 65M70 65N35 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{X. Zhou}, Numer. Algorithms 94, No. 1, 371--396 (2023; Zbl 07730433) Full Text: DOI
Costa, Gustavo S. A.; Figueiredo, Giovany M. Existence of positive solutions for \(p\&q\) equations involving vanishing potentials with exponential decay. (English) Zbl 07729568 Differ. Integral Equ. 36, No. 9-10, 859-876 (2023). MSC: 35J60 35J10 35J20 PDF BibTeX XML Cite \textit{G. S. A. Costa} and \textit{G. M. Figueiredo}, Differ. Integral Equ. 36, No. 9--10, 859--876 (2023; Zbl 07729568) Full Text: DOI
Alves, Claudianor O.; de S. Böer, Eduardo; Miyagaki, Olímpio H. Existence of normalized solutions for the planar Schrödinger-Poisson system with exponential critical nonlinearity. (English) Zbl 07729560 Differ. Integral Equ. 36, No. 11-12, 947-970 (2023). MSC: 35J60 35J15 35A15 35J10 PDF BibTeX XML Cite \textit{C. O. Alves} et al., Differ. Integral Equ. 36, No. 11--12, 947--970 (2023; Zbl 07729560) Full Text: DOI arXiv
Fečkan, Michal Travelling waves in nonlinear lattices. (English) Zbl 07729449 Dutta, Hemen (ed.), Mathematical modelling. Theory and application. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 787, 1-25 (2023). MSC: 34A33 34K16 PDF BibTeX XML Cite \textit{M. Fečkan}, Contemp. Math. 787, 1--25 (2023; Zbl 07729449) Full Text: DOI
Hu, Shengqing Quasi-periodic solutions for Schrödinger equation with finite smooth quasi-periodic forcing. (English) Zbl 07729132 SIAM J. Appl. Dyn. Syst. 22, No. 3, 1945-1982 (2023). MSC: 35Q55 70H08 70H12 37J40 35B65 PDF BibTeX XML Cite \textit{S. Hu}, SIAM J. Appl. Dyn. Syst. 22, No. 3, 1945--1982 (2023; Zbl 07729132) Full Text: DOI
Kim, Jeongho; Moon, Bora Quantified hydrodynamic limits for Schrödinger-type equations without the nonlinear potential. (English) Zbl 07729122 J. Evol. Equ. 23, No. 3, Paper No. 51, 27 p. (2023). MSC: 35Q55 35Q41 35Q40 35B40 76Y05 PDF BibTeX XML Cite \textit{J. Kim} and \textit{B. Moon}, J. Evol. Equ. 23, No. 3, Paper No. 51, 27 p. (2023; Zbl 07729122) Full Text: DOI
Wang, Zhenguo; Li, Qiuying Standing waves solutions for the discrete Schrödinger equations with resonance. (English) Zbl 07729096 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 171, 17 p. (2023). MSC: 39A22 39A70 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{Q. Li}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 171, 17 p. (2023; Zbl 07729096) Full Text: DOI
Saanouni, Tarek; Feng, Binhua The radial bi-harmonic generalized Hartree equation revisited. (English) Zbl 1517.35210 Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2194-2212 (2023). MSC: 35Q55 35B44 PDF BibTeX XML Cite \textit{T. Saanouni} and \textit{B. Feng}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2194--2212 (2023; Zbl 1517.35210) Full Text: DOI
Chen, Gong; Su, Qingtang Nonlinear modulational instabililty of the Stokes waves in 2D full water waves. (English) Zbl 07727593 Commun. Math. Phys. 402, No. 2, 1345-1452 (2023). Reviewer: Changxing Miao (Beijing) MSC: 76B15 76E99 76M45 35Q35 35Q55 PDF BibTeX XML Cite \textit{G. Chen} and \textit{Q. Su}, Commun. Math. Phys. 402, No. 2, 1345--1452 (2023; Zbl 07727593) Full Text: DOI arXiv
Camps, Nicolas; Gassot, Louise Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations. (English) Zbl 07727475 Int. Math. Res. Not. 2023, No. 15, 13214-13254 (2023). MSC: 35Q55 35Q41 35L05 35L15 35L71 35B65 35R01 PDF BibTeX XML Cite \textit{N. Camps} and \textit{L. Gassot}, Int. Math. Res. Not. 2023, No. 15, 13214--13254 (2023; Zbl 07727475) Full Text: DOI arXiv
Manna, Shibam; Dhar, A. K. Stability analysis from higher order nonlinear Schrödinger equation for interfacial capillary-gravity waves. (English) Zbl 07726826 Meccanica 58, No. 4, 687-698 (2023). MSC: 76E99 76B15 76B45 35Q55 PDF BibTeX XML Cite \textit{S. Manna} and \textit{A. K. Dhar}, Meccanica 58, No. 4, 687--698 (2023; Zbl 07726826) Full Text: DOI
Wang, Gangwei; Zhou, Qin; Alshomrani, Ali Saleh; Biswas, Anjan Explicit optical dromions with Kerr law having fractional temporal evolution. (English) Zbl 07726798 Fractals 31, No. 5, Article ID 2350056, 11 p. (2023). MSC: 35Qxx 35Cxx 37Kxx PDF BibTeX XML Cite \textit{G. Wang} et al., Fractals 31, No. 5, Article ID 2350056, 11 p. (2023; Zbl 07726798) Full Text: DOI
Tang, Houzhi Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition. (English) Zbl 07726285 Complex Var. Elliptic Equ. 68, No. 8, 1313-1331 (2023). MSC: 35Q60 35Q55 35B38 35B33 35A01 35A15 49M41 35R01 PDF BibTeX XML Cite \textit{H. Tang}, Complex Var. Elliptic Equ. 68, No. 8, 1313--1331 (2023; Zbl 07726285) Full Text: DOI
Liu, Nan Long-time asymptotics of solution to the coupled Hirota system with \(4 \times 4\) Lax pair. (English) Zbl 07725273 J. Geom. Phys. 191, Article ID 104912, 24 p. (2023). MSC: 53D99 37K40 35Q55 PDF BibTeX XML Cite \textit{N. Liu}, J. Geom. Phys. 191, Article ID 104912, 24 p. (2023; Zbl 07725273) Full Text: DOI
Hamano, Masaru; Ikeda, Masahiro Scattering solutions to nonlinear Schrödinger equation with a long range potential. (English) Zbl 07725209 J. Math. Anal. Appl. 528, No. 1, Article ID 127468, 36 p. (2023). MSC: 35Qxx 35Bxx 35Pxx PDF BibTeX XML Cite \textit{M. Hamano} and \textit{M. Ikeda}, J. Math. Anal. Appl. 528, No. 1, Article ID 127468, 36 p. (2023; Zbl 07725209) Full Text: DOI arXiv
Torres, Fernanda; Modak, Sujoy K.; Aranda, Alfredo New insights on the quantum-classical division in light of collapse models. (English) Zbl 07724702 Found. Phys. 53, No. 4, Paper No. 73, 11 p. (2023). MSC: 81P15 81-XX 82B99 35Q55 81-02 PDF BibTeX XML Cite \textit{F. Torres} et al., Found. Phys. 53, No. 4, Paper No. 73, 11 p. (2023; Zbl 07724702) Full Text: DOI arXiv
Finco, Domenico; Noja, Diego Blow-up and instability of standing waves for the NLS with a point interaction in dimension two. (English) Zbl 07724349 Z. Angew. Math. Phys. 74, No. 4, Paper No. 162, 17 p. (2023). MSC: 35J10 35Q55 35B44 PDF BibTeX XML Cite \textit{D. Finco} and \textit{D. Noja}, Z. Angew. Math. Phys. 74, No. 4, Paper No. 162, 17 p. (2023; Zbl 07724349) Full Text: DOI arXiv
Gasmi, Elias; Jahnke, Tobias; Kirn, Michael; Reichel, Wolfgang Global continua of solutions to the Lugiato-Lefever model for frequency combs obtained by two-mode pumping. (English) Zbl 07724332 Z. Angew. Math. Phys. 74, No. 4, Paper No. 168, 31 p. (2023). MSC: 34C25 34C23 34B60 78A10 PDF BibTeX XML Cite \textit{E. Gasmi} et al., Z. Angew. Math. Phys. 74, No. 4, Paper No. 168, 31 p. (2023; Zbl 07724332) Full Text: DOI arXiv
Mathanaranjan, Thilagarajah; Hashemi, Mir Sajjad; Rezazadeh, Hadi; Akinyemi, Lanre; Bekir, Ahmet Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion. (English) Zbl 07724083 Commun. Theor. Phys. 75, No. 8, Article ID 085005, 9 p. (2023). MSC: 35Q55 78A60 35K45 PDF BibTeX XML Cite \textit{T. Mathanaranjan} et al., Commun. Theor. Phys. 75, No. 8, Article ID 085005, 9 p. (2023; Zbl 07724083) Full Text: DOI
Ali, Karmina K.; Yusuf, Abdullahi; Alquran, Marwan; Tarla, Sibel New physical structures and patterns to the optical solutions of the nonlinear Schrödinger equation with a higher dimension. (English) Zbl 07724081 Commun. Theor. Phys. 75, No. 8, Article ID 085003, 17 p. (2023). MSC: 35Q53 35C08 78A60 PDF BibTeX XML Cite \textit{K. K. Ali} et al., Commun. Theor. Phys. 75, No. 8, Article ID 085003, 17 p. (2023; Zbl 07724081) Full Text: DOI
Abdel-Gawad, H. I. Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: modulation instability. (English) Zbl 07724049 Commun. Theor. Phys. 75, No. 6, Article ID 065005, 12 p. (2023). MSC: 35Q55 35C08 37K45 PDF BibTeX XML Cite \textit{H. I. Abdel-Gawad}, Commun. Theor. Phys. 75, No. 6, Article ID 065005, 12 p. (2023; Zbl 07724049) Full Text: DOI
Qi, Kai-Yuan; Yao, Xian-kun; Zhao, Li-Chen; Yang, Zhan-Ying Solitonic attractors in the coupled nonlinear Schrödinger equations with weak dissipations. (English) Zbl 07724047 Commun. Theor. Phys. 75, No. 6, Article ID 065003, 5 p. (2023). MSC: 35Q55 35B41 PDF BibTeX XML Cite \textit{K.-Y. Qi} et al., Commun. Theor. Phys. 75, No. 6, Article ID 065003, 5 p. (2023; Zbl 07724047) Full Text: DOI
Cingolani, Silvia; Tanaka, Kazunaga Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations. (English) Zbl 07723926 J. Geom. Anal. 33, No. 10, Paper No. 316, 55 p. (2023). MSC: 35Q55 35Q40 35J20 58E05 35B38 35A15 35A01 35A02 PDF BibTeX XML Cite \textit{S. Cingolani} and \textit{K. Tanaka}, J. Geom. Anal. 33, No. 10, Paper No. 316, 55 p. (2023; Zbl 07723926) Full Text: DOI
Conte, Dajana; Frasca-Caccia, Gianluca Exponentially fitted methods with a local energy conservation law. (English) Zbl 07723890 Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023). MSC: 65M20 65M06 65P10 35Q55 81Q05 PDF BibTeX XML Cite \textit{D. Conte} and \textit{G. Frasca-Caccia}, Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023; Zbl 07723890) Full Text: DOI arXiv
Cui, Jianbo; Sun, Liying Stochastic logarithmic Schrödinger equations: energy regularized approach. (English) Zbl 07723846 SIAM J. Math. Anal. 55, No. 4, 3044-3080 (2023). MSC: 35Q55 35Q41 35B65 35A01 35A02 47J05 81Q05 35R60 PDF BibTeX XML Cite \textit{J. Cui} and \textit{L. Sun}, SIAM J. Math. Anal. 55, No. 4, 3044--3080 (2023; Zbl 07723846) Full Text: DOI arXiv
Prinari, Barbara Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions. (English) Zbl 07723456 J. Nonlinear Math. Phys. 30, No. 2, 317-383 (2023). MSC: 37K15 35Q55 PDF BibTeX XML Cite \textit{B. Prinari}, J. Nonlinear Math. Phys. 30, No. 2, 317--383 (2023; Zbl 07723456) Full Text: DOI
Khanmamedov, A. Kh.; Orudzhev, D. G. Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line. (English. Russian original) Zbl 1516.37099 Theor. Math. Phys. 216, No. 1, 1010-1023 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 117-132 (2023). MSC: 37K15 35Q55 PDF BibTeX XML Cite \textit{A. Kh. Khanmamedov} and \textit{D. G. Orudzhev}, Theor. Math. Phys. 216, No. 1, 1010--1023 (2023; Zbl 1516.37099); translation from Teor. Mat. Fiz. 216, No. 1, 117--132 (2023) Full Text: DOI
Yu, Jianduo; Wang, Haifeng; Li, Chuanzhong A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies. (English. Russian original) Zbl 1516.37091 Theor. Math. Phys. 215, No. 3, 837-861 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 437-464 (2023). MSC: 37K10 37K30 35Q55 37K06 PDF BibTeX XML Cite \textit{J. Yu} et al., Theor. Math. Phys. 215, No. 3, 837--861 (2023; Zbl 1516.37091); translation from Teor. Mat. Fiz. 215, No. 3, 437--464 (2023) Full Text: DOI
Zhou, Hui; Huang, Yehui; Yao, Yuqin Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach. (English. Russian original) Zbl 1516.37095 Theor. Math. Phys. 215, No. 3, 805-822 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 401-420 (2023). MSC: 37K10 35Q55 35C08 PDF BibTeX XML Cite \textit{H. Zhou} et al., Theor. Math. Phys. 215, No. 3, 805--822 (2023; Zbl 1516.37095); translation from Teor. Mat. Fiz. 215, No. 3, 401--420 (2023) Full Text: DOI
Peleg, Avner; Chakraborty, Debananda Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response. (English) Zbl 07722810 Physica D 453, Article ID 133823, 18 p. (2023). MSC: 78-XX 35-XX PDF BibTeX XML Cite \textit{A. Peleg} and \textit{D. Chakraborty}, Physica D 453, Article ID 133823, 18 p. (2023; Zbl 07722810) Full Text: DOI arXiv
Aktosun, Tuncay; Ercan, Ramazan; Unlu, Mehmet The Marchenko method to solve the general system of derivative nonlinear Schrödinger equations. (English) Zbl 07722624 J. Math. Phys. 64, No. 7, Article ID 073502, 41 p. (2023). MSC: 45A05 35Q55 37K15 PDF BibTeX XML Cite \textit{T. Aktosun} et al., J. Math. Phys. 64, No. 7, Article ID 073502, 41 p. (2023; Zbl 07722624) Full Text: DOI arXiv
Du, Yao; Su, Jiabao; Wang, Cong The quasilinear Schrödinger-Poisson system. (English) Zbl 07722605 J. Math. Phys. 64, No. 7, Article ID 071502, 20 p. (2023). MSC: 35Q55 35J60 35J20 35A15 PDF BibTeX XML Cite \textit{Y. Du} et al., J. Math. Phys. 64, No. 7, Article ID 071502, 20 p. (2023; Zbl 07722605) Full Text: DOI arXiv
Suzuki, Toshiyuki Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field. (English) Zbl 07721613 J. Differ. Equations 371, 151-190 (2023). MSC: 35Q55 35Q41 35Q40 81Q15 78A25 PDF BibTeX XML Cite \textit{T. Suzuki}, J. Differ. Equations 371, 151--190 (2023; Zbl 07721613) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for the nonlinear nonlocal Schrödinger equation in two space dimensions. (English) Zbl 07721213 Discrete Contin. Dyn. Syst. 43, No. 10, 3754-3770 (2023). MSC: 35Q55 35Q41 35Q60 35S15 35G30 35B40 35B45 35P25 78A60 PDF BibTeX XML Cite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Discrete Contin. Dyn. Syst. 43, No. 10, 3754--3770 (2023; Zbl 07721213) Full Text: DOI
Matsui, Naoki Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential. (English) Zbl 07720251 Tôhoku Math. J. (2) 75, No. 2, 215-232 (2023). MSC: 35Q55 35Q41 35B44 81Q05 PDF BibTeX XML Cite \textit{N. Matsui}, Tôhoku Math. J. (2) 75, No. 2, 215--232 (2023; Zbl 07720251) Full Text: DOI arXiv
Ashida, Sohei Structures of sets of solutions to the Hartree-Fock equation. (English) Zbl 1515.81085 Tôhoku Math. J. (2) 75, No. 2, 143-159 (2023). MSC: 81Q05 35P30 PDF BibTeX XML Cite \textit{S. Ashida}, Tôhoku Math. J. (2) 75, No. 2, 143--159 (2023; Zbl 1515.81085) Full Text: DOI arXiv
Chen, Bo; Wang, Youde Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\). (English) Zbl 07719658 Commun. Math. Phys. 402, No. 1, 391-428 (2023). MSC: 35Q55 35Q41 35Q30 35Q31 35A01 35A02 35B65 35R09 82D40 35R01 PDF BibTeX XML Cite \textit{B. Chen} and \textit{Y. Wang}, Commun. Math. Phys. 402, No. 1, 391--428 (2023; Zbl 07719658) Full Text: DOI arXiv
Tzvetkov, N.; Visciglia, N. Global dynamics of the \(2d\) NLS with white noise potential and generic polynomial nonlinearity. (English) Zbl 07719640 Commun. Math. Phys. 401, No. 3, 3109-3121 (2023). MSC: 35Q55 35Q41 60H40 35A09 35R60 PDF BibTeX XML Cite \textit{N. Tzvetkov} and \textit{N. Visciglia}, Commun. Math. Phys. 401, No. 3, 3109--3121 (2023; Zbl 07719640) Full Text: DOI arXiv
Peng, Shige G-Gaussian processes under sublinear expectations and \(q \)-Brownian motion in quantum mechanics. (English) Zbl 1515.60160 Numer. Algebra Control Optim. 13, No. 3-4, 583-603 (2023). MSC: 60G65 60G15 60H10 PDF BibTeX XML Cite \textit{S. Peng}, Numer. Algebra Control Optim. 13, No. 3--4, 583--603 (2023; Zbl 1515.60160) Full Text: DOI arXiv
Biondini, Gino; Luo, Xu-Dan; Oregero, Jeffrey; Tovbis, Alexander Elliptic finite-band potentials of a non-self-adjoint Dirac operator. (English) Zbl 07716356 Adv. Math. 429, Article ID 109188, 63 p. (2023). MSC: 35Qxx 37Kxx 34Lxx PDF BibTeX XML Cite \textit{G. Biondini} et al., Adv. Math. 429, Article ID 109188, 63 p. (2023; Zbl 07716356) Full Text: DOI arXiv
do Amaral Costa, Gustavo S.; Figueiredo, Giovany M.; de O. Junior, José Carlos A non-periodic indefinite variational problem in \(\mathbb{R}^N\) with critical exponent. (English) Zbl 07716341 Proc. Edinb. Math. Soc., II. Ser. 66, No. 2, 579-612 (2023). MSC: 35J61 35Q55 35A01 35A15 PDF BibTeX XML Cite \textit{G. S. do Amaral Costa} et al., Proc. Edinb. Math. Soc., II. Ser. 66, No. 2, 579--612 (2023; Zbl 07716341) 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 PDF BibTeX XML Cite \textit{N. Kishimoto} and \textit{Y. Tsutsumi}, J. Hyperbolic Differ. Equ. 20, No. 1, 27--75 (2023; Zbl 1517.35209) Full Text: DOI arXiv
Henning, Patrick The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. (English) Zbl 1517.65103 Math. Models Methods Appl. Sci. 33, No. 7, 1517-1544 (2023). MSC: 65N25 35Q55 65N12 65N30 81Q05 PDF BibTeX XML Cite \textit{P. Henning}, Math. Models Methods Appl. Sci. 33, No. 7, 1517--1544 (2023; Zbl 1517.65103) Full Text: DOI arXiv
Ardila, Alex H.; Murphy, Jason Threshold solutions for the \(3d\) cubic-quintic NLS. (English) Zbl 07716000 Commun. Partial Differ. Equations 48, No. 5, 819-862 (2023). MSC: 35Q55 35Q41 35A15 35A35 35C08 35P25 49J35 PDF BibTeX XML Cite \textit{A. H. Ardila} and \textit{J. Murphy}, Commun. Partial Differ. Equations 48, No. 5, 819--862 (2023; Zbl 07716000) Full Text: DOI arXiv
Alves, Claudianor O.; de Lima, Romildo N.; Nóbrega, Alânnio B. Existence and multiplicity of solutions for a class of Dirac equations. (English) Zbl 07715604 J. Differ. Equations 370, 66-100 (2023). MSC: 35Q41 35Q40 35A15 35A01 35A02 35B40 PDF BibTeX XML Cite \textit{C. O. Alves} et al., J. Differ. Equations 370, 66--100 (2023; Zbl 07715604) Full Text: DOI
Li, Li; Liu, Yiyan; Yu, Fajun \(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgrounds. (English) Zbl 07715014 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1023-1035 (2023). MSC: 35Q55 37K10 35C08 PDF BibTeX XML Cite \textit{L. Li} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1023--1035 (2023; Zbl 07715014) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. de A. Capistrano-Filho} and \textit{A. B. Pampu}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 61, 38 p. (2023; Zbl 1515.35240) Full Text: DOI arXiv
Choi, Mi-Ran; Jin, Sangdon; Lee, Young-Ran Uniqueness of a minimizer for a variational problem related to the dispersion managed nonlinear Schrödinger equation. (English) Zbl 07714709 SIAM J. Math. Anal. 55, No. 4, 2595-2614 (2023). MSC: 35Q55 35Q60 35Q51 35C08 78A60 49J20 PDF BibTeX XML Cite \textit{M.-R. Choi} et al., SIAM J. Math. Anal. 55, No. 4, 2595--2614 (2023; Zbl 07714709) Full Text: DOI
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola Growth of Sobolev norms for \(2 d\) NLS with harmonic potential. (English) Zbl 07714694 Rev. Mat. Iberoam. 39, No. 4, 1405-1436 (2023). MSC: 35Q55 35Q41 35A23 35B40 PDF BibTeX XML Cite \textit{F. Planchon} et al., Rev. Mat. Iberoam. 39, No. 4, 1405--1436 (2023; Zbl 07714694) Full Text: DOI arXiv
Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji The Zakharov system in dimension \(d \geq 4\). (English) Zbl 07714632 J. Eur. Math. Soc. (JEMS) 25, No. 8, 3177-3228 (2023). MSC: 35Q55 35Q41 42B37 35L70 35P25 35A01 35A02 35B65 35B30 35B05 82D10 PDF BibTeX XML Cite \textit{T. Candy} et al., J. Eur. Math. Soc. (JEMS) 25, No. 8, 3177--3228 (2023; Zbl 07714632) Full Text: DOI arXiv
Fennell, James Equivariant heat and Schrödinger flows from Euclidean space to complex projective space. (English) Zbl 1515.35245 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 2, 339-378 (2023). MSC: 35Q55 PDF BibTeX XML Cite \textit{J. Fennell}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 2, 339--378 (2023; Zbl 1515.35245) Full Text: DOI arXiv
Liu, Rui; Zhang, Hai-Qiang; Wei, Yun-Chun; Zhang, Yan Multi-breather and high-order rogue waves for the quintic nonlinear Schrödinger equation on the elliptic function background. (English) Zbl 07714020 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107314, 20 p. (2023). MSC: 35Q55 PDF BibTeX XML Cite \textit{R. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107314, 20 p. (2023; Zbl 07714020) Full Text: DOI
Li, Qinlong; Li, Yu Unconditional optimal error estimates of a linearized mass- and energy-conservation FEM for a coupled nonlinear Schrödinger equations. (English) Zbl 07714005 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107297, 18 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX PDF BibTeX XML Cite \textit{Q. Li} and \textit{Y. Li}, Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107297, 18 p. (2023; Zbl 07714005) Full Text: DOI
Chen, Mingjuan; Zhang, Shuai Almost sure global well-posedness for the fourth-order nonlinear Schrödinger equation with large initial data. (English) Zbl 07713408 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 2215-2233 (2023). MSC: 35Q55 PDF BibTeX XML Cite \textit{M. Chen} and \textit{S. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 2215--2233 (2023; Zbl 07713408) Full Text: DOI