An, Xiaoming; Yang, Jing Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system. (English) Zbl 07529801 Adv. Nonlinear Stud. 22, No. 1, 159-183 (2022). MSC: 35B50 35J10 35J50 PDF BibTeX XML Cite \textit{X. An} and \textit{J. Yang}, Adv. Nonlinear Stud. 22, No. 1, 159--183 (2022; Zbl 07529801) Full Text: DOI OpenURL
Bilman, Deniz; Miller, Peter D. Broader universality of rogue waves of infinite order. (English) Zbl 07529713 Physica D 435, Article ID 133289, 12 p. (2022). MSC: 37-XX 76-XX PDF BibTeX XML Cite \textit{D. Bilman} and \textit{P. D. Miller}, Physica D 435, Article ID 133289, 12 p. (2022; Zbl 07529713) Full Text: DOI OpenURL
Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations. (English) Zbl 07529705 Physica D 435, Article ID 133266, 14 p. (2022). MSC: 35-XX 81-XX PDF BibTeX XML Cite \textit{J. Song} et al., Physica D 435, Article ID 133266, 14 p. (2022; Zbl 07529705) Full Text: DOI OpenURL
Lou, Yu; Zhang, Yi Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms. (English) Zbl 07529431 Math. Comput. Simul. 197, 22-31 (2022). MSC: 35-XX 81-XX PDF BibTeX XML Cite \textit{Y. Lou} and \textit{Y. Zhang}, Math. Comput. Simul. 197, 22--31 (2022; Zbl 07529431) Full Text: DOI OpenURL
Ma, Wen-Xiu Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions. (English) Zbl 07529307 J. Geom. Phys. 177, Article ID 104522, 9 p. (2022). MSC: 37K15 35Q55 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 177, Article ID 104522, 9 p. (2022; Zbl 07529307) Full Text: DOI OpenURL
Rosenzweig, Matthew The mean-field limit of the Lieb-Liniger model. (English) Zbl 07528601 Discrete Contin. Dyn. Syst. 42, No. 6, 3005-3037 (2022). MSC: 35Q55 35Q40 PDF BibTeX XML Cite \textit{M. Rosenzweig}, Discrete Contin. Dyn. Syst. 42, No. 6, 3005--3037 (2022; Zbl 07528601) Full Text: DOI OpenURL
Wang, Jianyun; Tian, Zhikun Superconvergence of finite element approximations of the two-dimensional cubic nonlinear Schrödinger equation. (English) Zbl 07528510 Adv. Appl. Math. Mech. 14, No. 3, 652-665 (2022). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Z. Tian}, Adv. Appl. Math. Mech. 14, No. 3, 652--665 (2022; Zbl 07528510) Full Text: DOI OpenURL
Gassot, Louise; Latocca, Mickaël Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian. (English) Zbl 07528101 J. Funct. Anal. 283, No. 3, Article ID 109519, 78 p. (2022). MSC: 35Q55 35L05 35L15 35L71 PDF BibTeX XML Cite \textit{L. Gassot} and \textit{M. Latocca}, J. Funct. Anal. 283, No. 3, Article ID 109519, 78 p. (2022; Zbl 07528101) Full Text: DOI OpenURL
Bagheri, Majid; Khani, Ali Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrödinger equation by beta-fractional derivative. (English) Zbl 07527963 Comput. Methods Differ. Equ. 10, No. 2, 549-566 (2022). MSC: 35Qxx 35Lxx 35Cxx PDF BibTeX XML Cite \textit{M. Bagheri} and \textit{A. Khani}, Comput. Methods Differ. Equ. 10, No. 2, 549--566 (2022; Zbl 07527963) Full Text: DOI OpenURL
Bekir, Ahmet; Shehata, Maha S. M.; Zahran, Emad H. M. New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution. (English) Zbl 07527934 Comput. Methods Differ. Equ. 10, No. 1, 158-167 (2022). MSC: 35C08 35Q55 83C15 PDF BibTeX XML Cite \textit{A. Bekir} et al., Comput. Methods Differ. Equ. 10, No. 1, 158--167 (2022; Zbl 07527934) Full Text: DOI OpenURL
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Xue, Bo Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation. (English) Zbl 07527181 Anal. Math. Phys. 12, No. 3, Paper No. 71, 33 p. (2022). MSC: 35Q15 35B40 35Q55 PDF BibTeX XML Cite \textit{K. Wang} et al., Anal. Math. Phys. 12, No. 3, Paper No. 71, 33 p. (2022; Zbl 07527181) Full Text: DOI OpenURL
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 07526708 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 07526708) Full Text: DOI OpenURL
Sacchetti, Andrea Spectral splitting method for nonlinear Schrödinger equations with quadratic potential. (English) Zbl 07525144 J. Comput. Phys. 459, Article ID 111154, 18 p. (2022). MSC: 65Mxx 35Qxx 81Qxx PDF BibTeX XML Cite \textit{A. Sacchetti}, J. Comput. Phys. 459, Article ID 111154, 18 p. (2022; Zbl 07525144) Full Text: DOI OpenURL
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Numerical simulations on nonlinear quantum graphs with the GraFiDi library. (English) Zbl 07525072 SMAI J. Comput. Math. 8, 1-47 (2022). MSC: 65-XX 35R02 65N06 35Q55 PDF BibTeX XML Cite \textit{C. Besse} et al., SMAI J. Comput. Math. 8, 1--47 (2022; Zbl 07525072) Full Text: DOI OpenURL
Collot, Charles; de Suzzoni, Anne-Sophie Stability of steady states for Hartree and Schrödinger equations for infinitely many particles. (Stabilité d’états d’équilibre pour les équations d’Hartree et de Schrödinger pour une infinité de particules.) (English. French summary) Zbl 07524690 Ann. Henri Lebesgue 5, 429-490 (2022). MSC: 35Q40 35B35 35B40 PDF BibTeX XML Cite \textit{C. Collot} and \textit{A.-S. de Suzzoni}, Ann. Henri Lebesgue 5, 429--490 (2022; Zbl 07524690) Full Text: DOI OpenURL
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Gradient flow approach to the calculation of stationary states on nonlinear quantum graphs. (Une approche flot gradient pour le calcul des états stationnaires sur des graphes quantiques non linéaires.) (English. French summary) Zbl 07524689 Ann. Henri Lebesgue 5, 387-428 (2022). MSC: 35Q55 35R02 65M06 PDF BibTeX XML Cite \textit{C. Besse} et al., Ann. Henri Lebesgue 5, 387--428 (2022; Zbl 07524689) Full Text: DOI OpenURL
Duboscq, Romain; Réveillac, Anthony On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noisy dispersion. (Sur une inégalité de Hardy-Littlewood-Sobolev stochastique avec une application aux inégalités de Strichartz pour des dispersions bruitées.) (English. French summary) Zbl 07524685 Ann. Henri Lebesgue 5, 263-274 (2022). MSC: 35Q55 60H15 PDF BibTeX XML Cite \textit{R. Duboscq} and \textit{A. Réveillac}, Ann. Henri Lebesgue 5, 263--274 (2022; Zbl 07524685) Full Text: DOI OpenURL
Matveev, V. B.; Smirnov, A. O. Elliptic solitons and “freak waves”. (English. Russian original) Zbl 07524507 St. Petersbg. Math. J. 33, No. 3, 523-551 (2022); translation from Algebra Anal. 33, No. 3, 129-168 (2021). MSC: 37K10 35Q53 35Q55 PDF BibTeX XML Cite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, St. Petersbg. Math. J. 33, No. 3, 523--551 (2022; Zbl 07524507); translation from Algebra Anal. 33, No. 3, 129--168 (2021) Full Text: DOI OpenURL
Zhou, Xin-Mei; Zhang, Tian-Tian; Zhu, Chenghao; Chen, Yi-Ren Transition of the breather wave of six-order nonlinear Schrödinger equation. (English) Zbl 07523673 Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022). MSC: 35Q55 78-XX PDF BibTeX XML Cite \textit{X.-M. Zhou} et al., Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022; Zbl 07523673) Full Text: DOI OpenURL
Ma, Li-Yuan; Shen, Shou-Feng; Zhu, Zuo-Nong From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation. (English) Zbl 07523639 Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022). MSC: 35Q55 81-XX PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022; Zbl 07523639) Full Text: DOI OpenURL
Wang, Xin; Wei, Jiao Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation. (English) Zbl 07523637 Appl. Math. Lett. 130, Article ID 107998, 8 p. (2022). MSC: 35Q55 81-XX PDF BibTeX XML Cite \textit{X. Wang} and \textit{J. Wei}, Appl. Math. Lett. 130, Article ID 107998, 8 p. (2022; Zbl 07523637) Full Text: DOI OpenURL
Marcati, C.; Rakhuba, M.; Schwab, Ch. Tensor rank bounds for point singularities in \(\mathbb{R}^3\). (English) Zbl 07523512 Adv. Comput. Math. 48, No. 3, Paper No. 18, 57 p. (2022). MSC: 35A35 15A69 35J15 41A25 41A46 65N30 PDF BibTeX XML Cite \textit{C. Marcati} et al., Adv. Comput. Math. 48, No. 3, Paper No. 18, 57 p. (2022; Zbl 07523512) Full Text: DOI OpenURL
Kamimura, Yutaka Energy-dependent reflectionless inverse scattering. (English) Zbl 07523064 Publ. Res. Inst. Math. Sci. 58, No. 2, 379-440 (2022). MSC: 35Q53 37K10 37K40 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, Publ. Res. Inst. Math. Sci. 58, No. 2, 379--440 (2022; Zbl 07523064) Full Text: DOI OpenURL
Alouini, Brahim Finite dimensional global attractor for a fractional Schrödinger type equation with mixed anisotropic dispersion. (English) Zbl 07522527 J. Dyn. Differ. Equations 34, No. 2, 1237-1268 (2022). MSC: 35B41 35Q55 35R11 76B03 37L30 PDF BibTeX XML Cite \textit{B. Alouini}, J. Dyn. Differ. Equations 34, No. 2, 1237--1268 (2022; Zbl 07522527) Full Text: DOI OpenURL
Choi, Mi-Ran; Kim, Dugyu Averaging of nonlinear Schrödinger equations with time-oscillatory coefficients. (English) Zbl 07518357 J. Evol. Equ. 22, No. 2, Paper No. 44, 19 p. (2022). MSC: 35Q55 34C29 PDF BibTeX XML Cite \textit{M.-R. Choi} and \textit{D. Kim}, J. Evol. Equ. 22, No. 2, Paper No. 44, 19 p. (2022; Zbl 07518357) Full Text: DOI OpenURL
Brennecke, Christian; Schlein, Benjamin; Schraven, Severin Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime. (English) Zbl 07517648 Ann. Henri Poincaré 23, No. 5, 1583-1658 (2022). MSC: 82C10 82C22 81V73 35Q55 PDF BibTeX XML Cite \textit{C. Brennecke} et al., Ann. Henri Poincaré 23, No. 5, 1583--1658 (2022; Zbl 07517648) Full Text: DOI OpenURL
Mi, Lufang; Li, Jing Quasi-periodic solutions for a Schrödinger equation under periodic boundary conditions with given potential. (English) Zbl 07517627 J. Differ. Equations 326, 313-343 (2022). MSC: 37K55 35Q55 35Q41 PDF BibTeX XML Cite \textit{L. Mi} and \textit{J. Li}, J. Differ. Equations 326, 313--343 (2022; Zbl 07517627) Full Text: DOI OpenURL
Chen, Yongpeng; Niu, Miaomiao Ground state solutions of nonlinear Schrödinger equations involving the fractional p-Laplacian and potential wells. (English) Zbl 07517539 Open Math. 20, 50-62 (2022). MSC: 35J60 35B33 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{M. Niu}, Open Math. 20, 50--62 (2022; Zbl 07517539) Full Text: DOI OpenURL
Liu, Mei-Qi; Fang, Xiang-Dong Normalized solutions for the Schrödinger systems with mass supercritical and double Sobolev critical growth. (English) Zbl 07517432 Z. Angew. Math. Phys. 73, No. 3, Paper No. 108, 14 p. (2022). MSC: 35J10 35J50 35J60 PDF BibTeX XML Cite \textit{M.-Q. Liu} and \textit{X.-D. Fang}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 108, 14 p. (2022; Zbl 07517432) Full Text: DOI OpenURL
Alves, Claudianor O. On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\). (English) Zbl 07517421 Z. Angew. Math. Phys. 73, No. 3, Paper No. 97, 17 p. (2022). MSC: 35Jxx 35A15 35J10 35B09 35B33 PDF BibTeX XML Cite \textit{C. O. Alves}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 97, 17 p. (2022; Zbl 07517421) Full Text: DOI OpenURL
Saanouni, Tarek; Nafti, Hayat Decay of radial solutions to a class of defocusing mass-sub-critical fractional Schrödinger equations. (English) Zbl 07517128 Ann. Funct. Anal. 13, No. 3, Paper No. 34, 17 p. (2022). MSC: 35Q55 35J10 35B40 81Q05 26A33 35R11 PDF BibTeX XML Cite \textit{T. Saanouni} and \textit{H. Nafti}, Ann. Funct. Anal. 13, No. 3, Paper No. 34, 17 p. (2022; Zbl 07517128) Full Text: DOI OpenURL
Zhang, Shengliang Meshless symplectic and multi-symplectic local RBF collocation methods for nonlinear Schrödinger equation. (English) Zbl 07517108 J. Comput. Phys. 450, Article ID 110820, 19 p. (2022). MSC: 65Mxx 35Qxx 65Nxx PDF BibTeX XML Cite \textit{S. Zhang}, J. Comput. Phys. 450, Article ID 110820, 19 p. (2022; Zbl 07517108) Full Text: DOI OpenURL
Saanouni, Tarek; Alharbi, Majed Ghazi Fractional Choquard equations with an inhomogeneous combined non-linearity. (English) Zbl 07516912 Mediterr. J. Math. 19, No. 3, Paper No. 108, 24 p. (2022). MSC: 35Q55 35B44 35A01 26A33 35R11 PDF BibTeX XML Cite \textit{T. Saanouni} and \textit{M. G. Alharbi}, Mediterr. J. Math. 19, No. 3, Paper No. 108, 24 p. (2022; Zbl 07516912) Full Text: DOI OpenURL
Medvedev, Sergey; Chekhovskoy, Igor; Vaseva, Irina; Fedoruk, Mikhail Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation. (Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear schrodinger equation.) (English) Zbl 07516836 J. Comput. Phys. 448, Article ID 110764, 19 p. (2022). MSC: 65Lxx 35Qxx 34Axx PDF BibTeX XML Cite \textit{S. Medvedev} et al., J. Comput. Phys. 448, Article ID 110764, 19 p. (2022; Zbl 07516836) Full Text: DOI OpenURL
Calvo, María Cabrera; Schratz, Katharina Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to nonrelativistic limit regime. (English) Zbl 07516282 SIAM J. Numer. Anal. 60, No. 2, 888-912 (2022). MSC: 35Q55 35Q41 65M70 65M12 35B05 35B65 35B35 PDF BibTeX XML Cite \textit{M. C. Calvo} and \textit{K. Schratz}, SIAM J. Numer. Anal. 60, No. 2, 888--912 (2022; Zbl 07516282) Full Text: DOI OpenURL
Cong, Hongzi; Mi, Lufang; Wu, Xiaoqing; Zhang, Qidi Exponential stability estimate for the derivative nonlinear Schrödinger equation. (English) Zbl 07515326 Nonlinearity 35, No. 5, 2385-2423 (2022). MSC: 37K55 37J40 35B35 35Q35 PDF BibTeX XML Cite \textit{H. Cong} et al., Nonlinearity 35, No. 5, 2385--2423 (2022; Zbl 07515326) Full Text: DOI OpenURL
Jayanti, Pranava Chaitanya; Trivisa, Konstantina Local existence of solutions to a Navier-Stokes-nonlinear-Schrödinger model of superfluidity. (English) Zbl 07514297 J. Math. Fluid Mech. 24, No. 2, Paper No. 46, 41 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{P. C. Jayanti} and \textit{K. Trivisa}, J. Math. Fluid Mech. 24, No. 2, Paper No. 46, 41 p. (2022; Zbl 07514297) Full Text: DOI OpenURL
Fu, Yayun; Shi, Yanhua; Zhao, Yanmin Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation. (English) Zbl 07513115 Int. J. Comput. Math. 99, No. 5, 877-894 (2022). MSC: 35R11 65M70 PDF BibTeX XML Cite \textit{Y. Fu} et al., Int. J. Comput. Math. 99, No. 5, 877--894 (2022; Zbl 07513115) Full Text: DOI OpenURL
Feng, Xiaobing; Ma, Shu Stable numerical methods for a stochastic nonlinear Schrödinger equation with linear multiplicative noise. (English) Zbl 07512198 Discrete Contin. Dyn. Syst., Ser. S 15, No. 4, 687-711 (2022). MSC: 65M60 35Q55 35Q60 65M12 PDF BibTeX XML Cite \textit{X. Feng} and \textit{S. Ma}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 4, 687--711 (2022; Zbl 07512198) Full Text: DOI OpenURL
Du, Yao; Su, Jiabao; Wang, Cong On the critical Schrödinger-Poisson system with \(p\)-Laplacian. (English) Zbl 07512001 Commun. Pure Appl. Anal. 21, No. 4, 1329-1342 (2022). MSC: 35J10 35J50 35J60 35J92 PDF BibTeX XML Cite \textit{Y. Du} et al., Commun. Pure Appl. Anal. 21, No. 4, 1329--1342 (2022; Zbl 07512001) Full Text: DOI OpenURL
Wang, Qingxuan; Feng, Binhua; Li, Yuan; Shi, Qihong On asymptotic properties of semi-relativistic Hartree equation with combined Hartree-type nonlinearities. (English) Zbl 07511998 Commun. Pure Appl. Anal. 21, No. 4, 1225-1247 (2022). MSC: 35B40 35J20 35Q55 35S10 PDF BibTeX XML Cite \textit{Q. Wang} et al., Commun. Pure Appl. Anal. 21, No. 4, 1225--1247 (2022; Zbl 07511998) Full Text: DOI OpenURL
Enciso, Alberto; Peralta-Salas, Daniel Vortex reconnections in classical and quantum fluids. (English) Zbl 07511989 S\(\vec{\text{e}}\)MA J. 79, No. 1, 127-137 (2022). MSC: 35Q30 35Q55 PDF BibTeX XML Cite \textit{A. Enciso} and \textit{D. Peralta-Salas}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 127--137 (2022; Zbl 07511989) Full Text: DOI OpenURL
Samir, Islam; Badra, Niveen; Seadawy, Aly R.; Ahmed, Hamdy M.; Arnous, Ahmed H. Computational extracting solutions for the perturbed Gerdjikov-Ivanov equation by using improved modified extended analytical approach. (English) Zbl 07510804 J. Geom. Phys. 176, Article ID 104514, 10 p. (2022). MSC: 35C05 35C08 35Q51 35Q55 PDF BibTeX XML Cite \textit{I. Samir} et al., J. Geom. Phys. 176, Article ID 104514, 10 p. (2022; Zbl 07510804) Full Text: DOI OpenURL
Gölgeleyen, İsmet; Kaytmaz, Özlem Conditional stability for a Cauchy problem for the ultrahyperbolic Schrödinger equation. (English) Zbl 07510770 Appl. Anal. 101, No. 4, 1505-1516 (2022). MSC: 35A23 35B35 35B40 35Q41 76B15 PDF BibTeX XML Cite \textit{İ. Gölgeleyen} and \textit{Ö. Kaytmaz}, Appl. Anal. 101, No. 4, 1505--1516 (2022; Zbl 07510770) Full Text: DOI OpenURL
Luo, Yongming Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime. (English) Zbl 07510678 J. Funct. Anal. 283, No. 1, Article ID 109489, 34 p. (2022). MSC: 35Q55 35Q40 PDF BibTeX XML Cite \textit{Y. Luo}, J. Funct. Anal. 283, No. 1, Article ID 109489, 34 p. (2022; Zbl 07510678) Full Text: DOI OpenURL
Comech, Andrew On solutions with compact spectrum to nonlinear Klein-Gordon and Schrödinger equations. (English) Zbl 07510652 SIAM J. Math. Anal. 54, No. 2, 2128-2141 (2022). MSC: 35B10 35C08 35B40 35B41 35L71 35Q41 35Q55 37K40 81Q05 PDF BibTeX XML Cite \textit{A. Comech}, SIAM J. Math. Anal. 54, No. 2, 2128--2141 (2022; Zbl 07510652) Full Text: DOI OpenURL
Bieganowski, Bartosz; Mederski, Jaroslaw Bound states for the Schrödinger equation with mixed-type nonlinearities. (English) Zbl 07509431 Indiana Univ. Math. J. 71, No. 1, 65-92 (2022). MSC: 35Q55 35Q60 35A15 35J20 58E05 PDF BibTeX XML Cite \textit{B. Bieganowski} and \textit{J. Mederski}, Indiana Univ. Math. J. 71, No. 1, 65--92 (2022; Zbl 07509431) Full Text: DOI OpenURL
Wu, Qing-Lin; Zhang, Hai-Qiang Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation. (English) Zbl 07508672 Wave Motion 110, Article ID 102890, 10 p. (2022). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{Q.-L. Wu} and \textit{H.-Q. Zhang}, Wave Motion 110, Article ID 102890, 10 p. (2022; Zbl 07508672) Full Text: DOI OpenURL
Zhang, Hongjuan; Wu, Boying; Meng, Xiong A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations. (English) Zbl 07508608 Commun. Appl. Math. Comput. 4, No. 1, 84-107 (2022). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{H. Zhang} et al., Commun. Appl. Math. Comput. 4, No. 1, 84--107 (2022; Zbl 07508608) Full Text: DOI OpenURL
Liu, Xuan; Zhang, Ting Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient. (English) Zbl 07506990 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2721-2757 (2022). MSC: 35Q55 35L71 35B30 35B44 PDF BibTeX XML Cite \textit{X. Liu} and \textit{T. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2721--2757 (2022; Zbl 07506990) Full Text: DOI OpenURL
Wu, Yifei; Yao, Fangyan A first-order Fourier integrator for the nonlinear Schrödinger equation on \(\mathbb{T}\) without loss of regularity. (English) Zbl 07506848 Math. Comput. 91, No. 335, 1213-1235 (2022). MSC: 65M12 65M15 65T50 35Q55 35Q41 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{F. Yao}, Math. Comput. 91, No. 335, 1213--1235 (2022; Zbl 07506848) Full Text: DOI OpenURL
Moraes, Gabriel E. Bittencourt; de Loreno, Guilherme Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: existence and orbital instability. (English) Zbl 07506391 J. Math. Anal. Appl. 513, No. 1, Article ID 126203, 22 p. (2022). MSC: 35B35 35C07 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{G. E. B. Moraes} and \textit{G. de Loreno}, J. Math. Anal. Appl. 513, No. 1, Article ID 126203, 22 p. (2022; Zbl 07506391) Full Text: DOI OpenURL
Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 07504991 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q51 35Q55 39A12 39A70 PDF BibTeX XML Cite \textit{G. Lin} and \textit{J. Yu}, SIAM J. Math. Anal. 54, No. 2, 1966--2005 (2022; Zbl 07504991) Full Text: DOI OpenURL
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin Error estimates of local energy regularization for the logarithmic Schrödinger equation. (English) Zbl 1483.35168 Math. Models Methods Appl. Sci. 32, No. 1, 101-136 (2022). MSC: 35Q40 35Q55 65M15 81Q05 PDF BibTeX XML Cite \textit{W. Bao} et al., Math. Models Methods Appl. Sci. 32, No. 1, 101--136 (2022; Zbl 1483.35168) Full Text: DOI OpenURL
Zhao, Wei; Lei, Min; Hon, Yiu-Chung An improved finite integration method for nonlocal nonlinear Schrödinger equations. (English) Zbl 07504635 Comput. Math. Appl. 113, 24-33 (2022). MSC: 65-XX 78-XX PDF BibTeX XML Cite \textit{W. Zhao} et al., Comput. Math. Appl. 113, 24--33 (2022; Zbl 07504635) Full Text: DOI OpenURL
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao A mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor. (English) Zbl 07503388 J. Reine Angew. Math. 785, 81-116 (2022). MSC: 35R01 35Q40 35Q41 53C43 58J05 58J35 PDF BibTeX XML Cite \textit{J. Jost} et al., J. Reine Angew. Math. 785, 81--116 (2022; Zbl 07503388) Full Text: DOI OpenURL
Fukaya, Noriyoshi; Georgiev, Vladimir; Ikeda, Masahiro On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction. (English) Zbl 07500531 J. Differ. Equations 321, 258-295 (2022). MSC: 35Q55 35B35 PDF BibTeX XML Cite \textit{N. Fukaya} et al., J. Differ. Equations 321, 258--295 (2022; Zbl 07500531) Full Text: DOI OpenURL
Cen, Julia; Correa, Francisco; Fring, Andreas; Taira, Takanobu Stability in integrable nonlocal nonlinear equations. (English) Zbl 07499421 Phys. Lett., A 435, Article ID 128060, 7 p. (2022). MSC: 81Q05 35Q55 81P94 81Q80 81R12 35C08 PDF BibTeX XML Cite \textit{J. Cen} et al., Phys. Lett., A 435, Article ID 128060, 7 p. (2022; Zbl 07499421) Full Text: DOI OpenURL
Zhang, Guoqing; Gao, Qian Vortex-type solutions for magnetic pseudo-relativistic Hartree equation. (English) Zbl 07496996 Appl. Anal. 101, No. 3, 1101-1114 (2022). MSC: 35Q40 35Q55 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Q. Gao}, Appl. Anal. 101, No. 3, 1101--1114 (2022; Zbl 07496996) Full Text: DOI OpenURL
Saanouni, Tarek Scattering for radial defocusing inhomogeneous bi-harmonic Schrödinger equations. (English) Zbl 07496369 Potential Anal. 56, No. 4, 649-667 (2022). MSC: 35Q55 PDF BibTeX XML Cite \textit{T. Saanouni}, Potential Anal. 56, No. 4, 649--667 (2022; Zbl 07496369) Full Text: DOI OpenURL
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 07495621 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 81Pxx 35L70 35P30 47J10 47J35 37K05 PDF BibTeX XML Cite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 07495621) Full Text: DOI OpenURL
Chen, Shaowei; Wang, Zhi-Qiang Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations. (English) Zbl 07495349 Ann. Mat. Pura Appl. (4) 201, No. 2, 589-616 (2022). MSC: 35J10 35Q55 35J61 35A01 35J20 PDF BibTeX XML Cite \textit{S. Chen} and \textit{Z.-Q. Wang}, Ann. Mat. Pura Appl. (4) 201, No. 2, 589--616 (2022; Zbl 07495349) Full Text: DOI OpenURL
Yang, Zuo; Qi, Shijie; Zou, Wenming Normalized solutions of nonlinear Schrödinger equations with potentials and non-autonomous nonlinearities. (English) Zbl 07493890 J. Geom. Anal. 32, No. 5, Paper No. 159, 27 p. (2022). MSC: 35Q55 35J50 35B35 PDF BibTeX XML Cite \textit{Z. Yang} et al., J. Geom. Anal. 32, No. 5, Paper No. 159, 27 p. (2022; Zbl 07493890) Full Text: DOI OpenURL
Qin, Dongdong; Lai, Lizhen; Tang, Xianhua; Wu, Qingfang Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction. (English) Zbl 07493889 J. Geom. Anal. 32, No. 5, Paper No. 158, 44 p. (2022). Reviewer: Marius Ghergu (Dublin) MSC: 35Q55 35Q40 35J20 35J60 46N50 PDF BibTeX XML Cite \textit{D. Qin} et al., J. Geom. Anal. 32, No. 5, Paper No. 158, 44 p. (2022; Zbl 07493889) Full Text: DOI OpenURL
Do Ó, João Marcos; Gloss, Elisandra; Severo, Uberlandio Soliton solutions for a class of Schrödinger equations with a positive quasilinear term and critical growth. (English) Zbl 07493617 Proc. Edinb. Math. Soc., II. Ser. 65, No. 1, 279-301 (2022). MSC: 35Q55 35J60 47J30 35B33 35B40 PDF BibTeX XML Cite \textit{J. M. Do Ó} et al., Proc. Edinb. Math. Soc., II. Ser. 65, No. 1, 279--301 (2022; Zbl 07493617) Full Text: DOI OpenURL
Zhang, Qiuyan; Zhou, Yuqian; Li, Jibin Bifurcations and exact solutions of the nonlinear Schrödinger equation with nonlinear dispersion. (English) Zbl 07491284 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250041, 9 p. (2022). MSC: 35Qxx 34Cxx 35Cxx PDF BibTeX XML Cite \textit{Q. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250041, 9 p. (2022; Zbl 07491284) Full Text: DOI OpenURL
Li, Xinyue; Han, Guangfu; Zhao, Qiulan Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 07491059 Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022). MSC: 35Q51 35Q55 37K10 PDF BibTeX XML Cite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022; Zbl 07491059) Full Text: DOI OpenURL
Cai, Yongyong; Wang, Yan Uniformly accurate nested Picard iterative integrators for the nonlinear Dirac equation in the nonrelativistic regime. (English) Zbl 1482.35190 Multiscale Model. Simul. 20, No. 1, 164-187 (2022). MSC: 35Q41 65M70 65N35 81Q05 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{Y. Wang}, Multiscale Model. Simul. 20, No. 1, 164--187 (2022; Zbl 1482.35190) Full Text: DOI OpenURL
Naumkin, Pavel I. Asymptotics for the fourth-order nonlinear Schrödinger equation in 2D. (English) Zbl 07489737 Commun. Contemp. Math. 24, No. 1, Article ID 2050090, 29 p. (2022). MSC: 35Q55 35B40 35S30 PDF BibTeX XML Cite \textit{P. I. Naumkin}, Commun. Contemp. Math. 24, No. 1, Article ID 2050090, 29 p. (2022; Zbl 07489737) Full Text: DOI OpenURL
Choi, Mi-Ran; Lee, Young-Ran Averaging of dispersion managed nonlinear Schrödinger equations. (English) Zbl 07489729 Nonlinearity 35, No. 4, 2121-2133 (2022). MSC: 35Q55 35A01 35B27 35Q60 PDF BibTeX XML Cite \textit{M.-R. Choi} and \textit{Y.-R. Lee}, Nonlinearity 35, No. 4, 2121--2133 (2022; Zbl 07489729) Full Text: DOI arXiv OpenURL
Geng, Jiansheng; Xue, Shuaishuai Reducible kam tori for two-dimensional nonlinear Schrödinger equations with explicit dependence on the spatial variable. (English) Zbl 07489501 J. Funct. Anal. 282, No. 10, Article ID 109430, 51 p. (2022). MSC: 35Q55 37K55 81-XX PDF BibTeX XML Cite \textit{J. Geng} and \textit{S. Xue}, J. Funct. Anal. 282, No. 10, Article ID 109430, 51 p. (2022; Zbl 07489501) Full Text: DOI OpenURL
Dong, Min-Jie; Tian, Li-Xin; Wei, Jing-Dong Novel rogue waves for a mixed coupled nonlinear Schrödinger equation on Darboux-dressing transformation. (English) Zbl 1481.35355 East Asian J. Appl. Math. 12, No. 1, 22-34 (2022). MSC: 35Q55 76B25 PDF BibTeX XML Cite \textit{M.-J. Dong} et al., East Asian J. Appl. Math. 12, No. 1, 22--34 (2022; Zbl 1481.35355) Full Text: DOI OpenURL
Ostermann, Alexander; Yao, Fangyan A fully discrete low-regularity integrator for the nonlinear Schrödinger equation. (English) Zbl 07488719 J. Sci. Comput. 91, No. 1, Paper No. 9, 14 p. (2022). MSC: 65M12 65M15 35Q55 PDF BibTeX XML Cite \textit{A. Ostermann} and \textit{F. Yao}, J. Sci. Comput. 91, No. 1, Paper No. 9, 14 p. (2022; Zbl 07488719) Full Text: DOI arXiv OpenURL
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. (English) Zbl 07487489 Physica D 432, Article ID 133162, 12 p. (2022). MSC: 35Q15 35Q55 35Q41 35C08 PDF BibTeX XML Cite \textit{J.-J. Yang} et al., Physica D 432, Article ID 133162, 12 p. (2022; Zbl 07487489) Full Text: DOI arXiv OpenURL
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. (English) Zbl 07487483 Physica D 432, Article ID 133150, 15 p. (2022). MSC: 35Q55 65-XX PDF BibTeX XML Cite \textit{W. Weng} et al., Physica D 432, Article ID 133150, 15 p. (2022; Zbl 07487483) Full Text: DOI OpenURL
Zhang, Shan-Shan; Xu, Tao; Li, Min; Zhang, Xue-Feng Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves. (English) Zbl 07487479 Physica D 432, Article ID 133128, 14 p. (2022). MSC: 35C08 35G25 35Q55 PDF BibTeX XML Cite \textit{S.-S. Zhang} et al., Physica D 432, Article ID 133128, 14 p. (2022; Zbl 07487479) Full Text: DOI OpenURL
Dovetta, Simone; Tentarelli, Lorenzo Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover. (English) Zbl 07485599 J. Math. Pures Appl. (9) 160, 99-157 (2022). Reviewer: Guido Schneider (Stuttgart) MSC: 35A23 35R02 35Q40 35Q55 81Q35 49J40 PDF BibTeX XML Cite \textit{S. Dovetta} and \textit{L. Tentarelli}, J. Math. Pures Appl. (9) 160, 99--157 (2022; Zbl 07485599) Full Text: DOI arXiv OpenURL
Halidou, Hamadou; Abbagari, Souleymanou; Houwe, Alphonse; Inc, Mustafa; Thomas, Bouetou B. Rational W-shape solitons on a nonlinear electrical transmission line with Josephson junction. (English) Zbl 07484183 Phys. Lett., A 430, Article ID 127951, 11 p. (2022). MSC: 81Q05 35Q55 82D40 68Q12 83C56 81-10 PDF BibTeX XML Cite \textit{H. Halidou} et al., Phys. Lett., A 430, Article ID 127951, 11 p. (2022; Zbl 07484183) Full Text: DOI OpenURL
Almushaira, Mustafa Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation. (English) Zbl 07484133 J. Difference Equ. Appl. 28, No. 1, 10-38 (2022). MSC: 65M06 35J10 65T50 35Q55 35Q41 PDF BibTeX XML Cite \textit{M. Almushaira}, J. Difference Equ. Appl. 28, No. 1, 10--38 (2022; Zbl 07484133) Full Text: DOI OpenURL
Manna, Ramesh On the existence of global solutions of the Hartree equation for initial data in the modulation space \(M^{p , q}(\mathbb{R})\). (English) Zbl 07483918 J. Differ. Equations 317, 70-88 (2022). Reviewer: Luigi Rodino (Torino) MSC: 35Q55 42B35 35A01 35A02 PDF BibTeX XML Cite \textit{R. Manna}, J. Differ. Equations 317, 70--88 (2022; Zbl 07483918) Full Text: DOI OpenURL
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi Global dynamics in nonconservative nonlinear Schrödinger equations. (English) Zbl 07483908 Adv. Math. 398, Article ID 108234, 70 p. (2022). MSC: 35Q55 35B40 37K99 37M21 PDF BibTeX XML Cite \textit{J. Jaquette} et al., Adv. Math. 398, Article ID 108234, 70 p. (2022; Zbl 07483908) Full Text: DOI arXiv OpenURL
Saleem, U.; Sarfraz, H.; Hanif, Y. Dynamics of kink-soliton solutions of the \((2+1)\)-dimensional sine-Gordon equation. (English. Russian original) Zbl 07483562 Theor. Math. Phys. 210, No. 1, 68-84 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 80-98 (2022). MSC: 81Q05 35Q55 35C08 35Q05 35P05 35P10 35A01 PDF BibTeX XML Cite \textit{U. Saleem} et al., Theor. Math. Phys. 210, No. 1, 68--84 (2022; Zbl 07483562); translation from Teor. Mat. Fiz. 210, No. 1, 80--98 (2022) Full Text: DOI OpenURL
Ma, Xinxin; Kuang, Yonghui Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation. (English. Russian original) Zbl 07483560 Theor. Math. Phys. 210, No. 1, 31-45 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 38-53 (2022). MSC: 81Q05 35Q55 34B10 81U40 35Q15 PDF BibTeX XML Cite \textit{X. Ma} and \textit{Y. Kuang}, Theor. Math. Phys. 210, No. 1, 31--45 (2022; Zbl 07483560); translation from Teor. Mat. Fiz. 210, No. 1, 38--53 (2022) Full Text: DOI OpenURL
Wang, Xiu-Bin; Han, Bo The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions. (English. Russian original) Zbl 07483559 Theor. Math. Phys. 210, No. 1, 8-30 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 11-37 (2022). MSC: 81Q05 35Q55 81U40 35C08 35Q15 35G31 70H33 81Q80 PDF BibTeX XML Cite \textit{X.-B. Wang} and \textit{B. Han}, Theor. Math. Phys. 210, No. 1, 8--30 (2022; Zbl 07483559); translation from Teor. Mat. Fiz. 210, No. 1, 11--37 (2022) Full Text: DOI OpenURL
Aguas-Barreno, Ariel; Cevallos-Chávez, Jordy; Mayorga-Zambrano, Juan; Medina-Espinosa, Leonardo Semiclassical asymptotics of infinitely many solutions for the infinite case of a nonlinear Schrödinger equation with critical frequency. (English) Zbl 07481766 Bull. Korean Math. Soc. 59, No. 1, 241-263 (2022). MSC: 35Q55 35B40 81Q20 35J25 35Q40 PDF BibTeX XML Cite \textit{A. Aguas-Barreno} et al., Bull. Korean Math. Soc. 59, No. 1, 241--263 (2022; Zbl 07481766) Full Text: DOI OpenURL
Chen, Yong; Yan, Zhenya; Malomed, Boris A. Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. (English) Zbl 07479431 Physica D 430, Article ID 133099, 14 p. (2022). MSC: 35Q55 82-XX PDF BibTeX XML Cite \textit{Y. Chen} et al., Physica D 430, Article ID 133099, 14 p. (2022; Zbl 07479431) Full Text: DOI arXiv OpenURL
Yang, Jin-Jie; Tian, Shou-Fu Riemann-Hilbert problem and dynamics of soliton solutions of the fifth-order nonlinear Schrödinger equation. (English) Zbl 07479022 Appl. Math. Lett. 128, Article ID 107904, 8 p. (2022). MSC: 35Q15 35Q55 35Q41 35C08 35K15 35P25 35B40 PDF BibTeX XML Cite \textit{J.-J. Yang} and \textit{S.-F. Tian}, Appl. Math. Lett. 128, Article ID 107904, 8 p. (2022; Zbl 07479022) Full Text: DOI OpenURL
Kudryashov, Nikolay A. Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index. (English) Zbl 07479015 Appl. Math. Lett. 128, Article ID 107888, 7 p. (2022). MSC: 35Q55 78-XX PDF BibTeX XML Cite \textit{N. A. Kudryashov}, Appl. Math. Lett. 128, Article ID 107888, 7 p. (2022; Zbl 07479015) Full Text: DOI OpenURL
Yu, Zong-Bing; Zhu, Chenghao; Zhao, Jian-Shi; Zou, Li Inverse scattering transform of the general three-component nonlinear Schrödinger equation and its multisoliton solutions. (English) Zbl 07479008 Appl. Math. Lett. 128, Article ID 107874, 7 p. (2022). MSC: 35Q55 81-XX PDF BibTeX XML Cite \textit{Z.-B. Yu} et al., Appl. Math. Lett. 128, Article ID 107874, 7 p. (2022; Zbl 07479008) Full Text: DOI OpenURL
Gui, Guilong; Zhang, Ping Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition. (English) Zbl 07475777 SIAM J. Math. Anal. 54, No. 1, 1053-1104 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q55 35Q31 76N10 35B40 35B65 PDF BibTeX XML Cite \textit{G. Gui} and \textit{P. Zhang}, SIAM J. Math. Anal. 54, No. 1, 1053--1104 (2022; Zbl 07475777) Full Text: DOI arXiv OpenURL
Pierotti, Dario; Soave, Nicola Ground states for the NLS equation with combined nonlinearities on noncompact metric graphs. (English) Zbl 1483.35308 SIAM J. Math. Anal. 54, No. 1, 768-790 (2022). MSC: 35R02 35J20 35Q55 81Q35 49J40 PDF BibTeX XML Cite \textit{D. Pierotti} and \textit{N. Soave}, SIAM J. Math. Anal. 54, No. 1, 768--790 (2022; Zbl 1483.35308) Full Text: DOI arXiv OpenURL
Kengne, Emmanuel; Liu, WuMing Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift. (English) Zbl 07474638 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106240, 18 p. (2022). MSC: 35Qxx 37Kxx 78Axx PDF BibTeX XML Cite \textit{E. Kengne} and \textit{W. Liu}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106240, 18 p. (2022; Zbl 07474638) Full Text: DOI OpenURL
Zhang, Ziyun Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems. (English) Zbl 1483.35143 Commun. Math. Sci. 20, No. 2, 377-403 (2022). MSC: 35P30 35A35 35J25 35J61 47J10 65K10 65N25 81Q05 PDF BibTeX XML Cite \textit{Z. Zhang}, Commun. Math. Sci. 20, No. 2, 377--403 (2022; Zbl 1483.35143) Full Text: DOI arXiv OpenURL
Bao, Weizhu; Feng, Yue; Su, Chunmei Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. (English) Zbl 07473345 Math. Comput. 91, No. 334, 811-842 (2022). MSC: 65-XX 35L70 65M12 65M15 65M70 81-08 PDF BibTeX XML Cite \textit{W. Bao} et al., Math. Comput. 91, No. 334, 811--842 (2022; Zbl 07473345) Full Text: DOI arXiv OpenURL
Liu, Jian Jun Birkhoff normal form for the derivative nonlinear Schrödinger equation. (English) Zbl 07473248 Acta Math. Sin., Engl. Ser. 38, No. 1, 249-262 (2022). MSC: 37K10 37K45 37K55 PDF BibTeX XML Cite \textit{J. J. Liu}, Acta Math. Sin., Engl. Ser. 38, No. 1, 249--262 (2022; Zbl 07473248) Full Text: DOI arXiv OpenURL
Wei, Lei; Duan, Zhiwen Dispersive decay for the nonlinear magnetic Schrödinger equation. (English) Zbl 07472460 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112743, 23 p. (2022). MSC: 35Q55 35B40 35Q41 81Q20 PDF BibTeX XML Cite \textit{L. Wei} and \textit{Z. Duan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112743, 23 p. (2022; Zbl 07472460) Full Text: DOI OpenURL
Bernini, Federico; Bieganowski, Bartosz; Secchi, Simone Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory. (English) Zbl 07472458 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112738, 26 p. (2022). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q40 35A15 35B40 35J20 58E05 26A33 35R11 PDF BibTeX XML Cite \textit{F. Bernini} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112738, 26 p. (2022; Zbl 07472458) Full Text: DOI arXiv OpenURL
Kudryashov, Nikolay A. Bright and dark solitons in a nonlinear saturable medium. (English) Zbl 07471858 Phys. Lett., A 427, Article ID 127913, 5 p. (2022). MSC: 81Q05 35Q55 81U15 35C08 26B10 PDF BibTeX XML Cite \textit{N. A. Kudryashov}, Phys. Lett., A 427, Article ID 127913, 5 p. (2022; Zbl 07471858) Full Text: DOI OpenURL
Kudryavtsev, A. G.; Myagkov, N. N. New solutions for the (3 + 1)-dimensional Charney-Obukhov equation. (English) Zbl 07471856 Phys. Lett., A 427, Article ID 127901, 4 p. (2022). MSC: 81Q05 35Q55 35C07 76M23 81V80 PDF BibTeX XML Cite \textit{A. G. Kudryavtsev} and \textit{N. N. Myagkov}, Phys. Lett., A 427, Article ID 127901, 4 p. (2022; Zbl 07471856) Full Text: DOI OpenURL
Onodera, Eiji Uniqueness Of 1D generalized bi-Schrödinger flow. (English) Zbl 07471794 J. Geom. Anal. 32, No. 2, Paper No. 47, 41 p. (2022). MSC: 35Q55 53E30 35G61 53C21 35Q35 35Q40 PDF BibTeX XML Cite \textit{E. Onodera}, J. Geom. Anal. 32, No. 2, Paper No. 47, 41 p. (2022; Zbl 07471794) Full Text: DOI arXiv OpenURL