Luo, Yongming On the sharp scattering threshold for the mass-energy double critical nonlinear Schrödinger equation via double track profile decomposition. (English) Zbl 07822737 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 1, 187-255 (2024). MSC: 35Q55 35Q41 35B44 35C08 35B40 35P25 PDFBibTeX XMLCite \textit{Y. Luo}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 1, 187--255 (2024; Zbl 07822737) Full Text: DOI arXiv OA License
Raju, Thokala Soloman Controllable nonlinear waves in graded-index waveguides (GRIN). (English) Zbl 07821829 SpringerBriefs in Applied Sciences and Technology. Cham: Springer (ISBN 978-981-97-0440-8/pbk; 978-981-97-0441-5/ebook). (2024). MSC: 78-02 78-05 78-10 78A25 78A40 78A50 78A60 35C08 93C20 35Q55 35Q41 35Q60 PDFBibTeX XML Full Text: DOI
Dugandžija, Nevena; Michelangeli, Alessandro; Vojnović, Ivana Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes. (English) Zbl 07820965 Expo. Math. 42, No. 2, Article ID 125533, 28 p. (2024). MSC: 35Q55 35Q41 35Q40 46F30 PDFBibTeX XMLCite \textit{N. Dugandžija} et al., Expo. Math. 42, No. 2, Article ID 125533, 28 p. (2024; Zbl 07820965) Full Text: DOI arXiv
Bai, Genming; Hu, Jiashun; Li, Buyang High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation. (English) Zbl 07820571 SIAM J. Sci. Comput. 46, No. 2, A1026-A1046 (2024). MSC: 65M70 65N30 65H10 65M12 65M15 35Q55 35Q41 81Q05 PDFBibTeX XMLCite \textit{G. Bai} et al., SIAM J. Sci. Comput. 46, No. 2, A1026--A1046 (2024; Zbl 07820571) Full Text: DOI
Wang, Haotian; Yang, Hujiang; Meng, Xiankui; Tian, Ye; Liu, Wenjun Dynamics of controllable matter-wave solitons and soliton molecules for a Rabi-coupled Gross-Pitaevskii equation with temporally and spatially modulated coefficients. (English) Zbl 07818651 SIAM J. Appl. Dyn. Syst. 23, No. 1, 748-778 (2024). MSC: 35Q51 35Q55 35Q41 35C08 35B40 37K35 37N20 65P40 82C10 81V73 PDFBibTeX XMLCite \textit{H. Wang} et al., SIAM J. Appl. Dyn. Syst. 23, No. 1, 748--778 (2024; Zbl 07818651) Full Text: DOI
Tang, Xingdong; Xu, Guixiang Minimal mass blow-up solutions for the \(L^2\)-critical NLS with the delta potential for even data in one dimension. (English) Zbl 07817075 SIAM J. Math. Anal. 56, No. 2, 1727-1769 (2024). MSC: 35Q55 35Q41 35B44 35A01 35A02 PDFBibTeX XMLCite \textit{X. Tang} and \textit{G. Xu}, SIAM J. Math. Anal. 56, No. 2, 1727--1769 (2024; Zbl 07817075) Full Text: DOI arXiv
Yu, Xueying; Yue, Haitian On the global well-posedness for the periodic quintic nonlinear Schrödinger equation. (English) Zbl 07817047 SIAM J. Math. Anal. 56, No. 2, 1851-1902 (2024). MSC: 35Q55 35Q41 26A33 35R01 37K06 37L50 35R01 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yu} and \textit{H. Yue}, SIAM J. Math. Anal. 56, No. 2, 1851--1902 (2024; Zbl 07817047) Full Text: DOI arXiv
Chauleur, Quentin Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. (English) Zbl 07816737 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024). MSC: 35Q55 35Q41 37K60 35J05 39A12 PDFBibTeX XMLCite \textit{Q. Chauleur}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024; Zbl 07816737) Full Text: DOI arXiv
Mao, Weifeng; Zhang, Jian Existence and stability of ground states for the Hartree equation with a magnetic field. (English) Zbl 07815397 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2213-2226 (2024). MSC: 35Q55 35Q41 35Q40 81V73 35B38 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{W. Mao} and \textit{J. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2213--2226 (2024; Zbl 07815397) Full Text: DOI
Burq, Nicolas; Dehman, Belhassen; Le Rousseau, Jérôme Semi-classical observation suffices for observability: wave and Schrödinger equations. (English) Zbl 07815227 ESAIM, Control Optim. Calc. Var. 30, Paper No. 10, 31 p. (2024). MSC: 35L20 35L05 35Q41 93B07 PDFBibTeX XMLCite \textit{N. Burq} et al., ESAIM, Control Optim. Calc. Var. 30, Paper No. 10, 31 p. (2024; Zbl 07815227) Full Text: DOI arXiv
Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel On global approximate controllability of a quantum particle in a box by moving walls. (English) Zbl 07814425 SIAM J. Control Optim. 62, No. 2, 826-852 (2024). MSC: 81Q93 35Q41 35R37 35J10 PDFBibTeX XMLCite \textit{A. Balmaseda} et al., SIAM J. Control Optim. 62, No. 2, 826--852 (2024; Zbl 07814425) Full Text: DOI arXiv
Bal, Guillaume Semiclassical propagation along curved domain walls. (English) Zbl 07813968 Multiscale Model. Simul. 22, No. 1, 66-105 (2024). MSC: 81Q20 35Q41 35A17 PDFBibTeX XMLCite \textit{G. Bal}, Multiscale Model. Simul. 22, No. 1, 66--105 (2024; Zbl 07813968) Full Text: DOI arXiv
Song, Caiqin; Zhao, Hai-qiong; Zhu, Zuo-nong Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties. (English) Zbl 07812534 Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K10 37K15 37K35 35B34 35C05 PDFBibTeX XMLCite \textit{C. Song} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024; Zbl 07812534) Full Text: DOI
Erdoğan, M. Burak; Huynh, Chi N. Y.; McConnell, Ryan Talbot effect on the sphere and torus for \(d \geq 2\). (English) Zbl 07812272 Math. Z. 306, No. 3, Paper No. 52, 37 p. (2024). MSC: 35Q41 28A80 42B37 35R02 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Math. Z. 306, No. 3, Paper No. 52, 37 p. (2024; Zbl 07812272) Full Text: DOI arXiv
Zhang, Yuting; Feng, Xinlong; Qian, Lingzhi A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation. (English) Zbl 07810037 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 26A33 35R11 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024; Zbl 07810037) Full Text: DOI
Guo, Feng; Dai, Weizhong Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations. (English) Zbl 07810002 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35C08 35K05 78A60 74F15 74F05 35Q55 35Q41 35Q60 PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024; Zbl 07810002) Full Text: DOI
Yu, Xueying; Yue, Haitian; Zhao, Zehua Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds. (English) Zbl 07809895 SIAM J. Math. Anal. 56, No. 1, 1427-1458 (2024). MSC: 35Q55 35Q41 35C08 35R01 37K06 37L50 35P25 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yu} et al., SIAM J. Math. Anal. 56, No. 1, 1427--1458 (2024; Zbl 07809895) Full Text: DOI arXiv
An, Ling; Ling, Liming; Zhang, Xiaoen Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation. (English) Zbl 07808473 Physica D 458, Article ID 133888, 18 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35C99 37K15 37K10 26A33 35R11 PDFBibTeX XMLCite \textit{L. An} et al., Physica D 458, Article ID 133888, 18 p. (2024; Zbl 07808473) Full Text: DOI arXiv
Ling, Liming; Zhang, Xiaoen Large and infinite-order solitons of the coupled nonlinear Schrödinger equation. (English) Zbl 07808035 Physica D 457, Article ID 133981, 43 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35B40 37K10 37K35 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Zhang}, Physica D 457, Article ID 133981, 43 p. (2024; Zbl 07808035) Full Text: DOI arXiv
Maeda, Masaya; Yamazaki, Yohei Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes. (English) Zbl 07806928 J. Differ. Equations 387, 256-298 (2024). MSC: 35Q55 35Q41 35B40 35B35 35A01 35A02 35R01 37K35 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{Y. Yamazaki}, J. Differ. Equations 387, 256--298 (2024; Zbl 07806928) Full Text: DOI arXiv
Chen, Thomas; Bowles Urban, Amie On the well-posedness and stability of cubic and quintic nonlinear Schrödinger systems on \(\mathbb{T}^3\). (English) Zbl 07806906 Ann. Henri Poincaré 25, No. 2, 1657-1692 (2024). MSC: 35Q55 35Q41 35Q40 81V74 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{T. Chen} and \textit{A. Bowles Urban}, Ann. Henri Poincaré 25, No. 2, 1657--1692 (2024; Zbl 07806906) Full Text: DOI arXiv
Jiang, Kai; Li, Shifeng; Zhang, Pingwen Numerical methods and analysis of computing quasiperiodic systems. (English) Zbl 07805446 SIAM J. Numer. Anal. 62, No. 1, 353-375 (2024). MSC: 65P99 42A75 PDFBibTeX XMLCite \textit{K. Jiang} et al., SIAM J. Numer. Anal. 62, No. 1, 353--375 (2024; Zbl 07805446) Full Text: DOI arXiv
Mastyło, Mieczysław; Sinnamon, Gord The Fourier transform in weighted rearrangement invariant spaces. (English) Zbl 07805253 Proc. Am. Math. Soc. 152, No. 3, 1099-1107 (2024). MSC: 42B10 42B15 35B30 35Q41 35J10 PDFBibTeX XMLCite \textit{M. Mastyło} and \textit{G. Sinnamon}, Proc. Am. Math. Soc. 152, No. 3, 1099--1107 (2024; Zbl 07805253) Full Text: DOI arXiv
Shan, Yuan Relative Morse index and multiple solutions for a non-periodic Dirac equation with external fields. (English) Zbl 07804825 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113469, 16 p. (2024). MSC: 35Q41 37B30 35C08 35B40 49J35 35A01 PDFBibTeX XMLCite \textit{Y. Shan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113469, 16 p. (2024; Zbl 07804825) Full Text: DOI
Collot, Charles; Dietert, Helge; Germain, Pierre Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence. (English) Zbl 07804740 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024). MSC: 35Q55 35Q41 35Q20 82C40 35B35 42B10 76F55 PDFBibTeX XMLCite \textit{C. Collot} et al., Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024; Zbl 07804740) Full Text: DOI arXiv
He, Ying; Wang, Yan; Yang, Jerry Zhijian; Yin, Hongshuang Numerical methods for the nonlinear Dirac equation in the massless nonrelativistic regime. (English) Zbl 07803729 East Asian J. Appl. Math. 14, No. 1, 79-103 (2024). MSC: 65M06 35Q41 65M12 PDFBibTeX XMLCite \textit{Y. He} et al., East Asian J. Appl. Math. 14, No. 1, 79--103 (2024; Zbl 07803729) Full Text: DOI
Bragdon, Sophia Potoczak; Pinaud, Olivier A splitting scheme for the quantum Liouville-BGK equation. (English) Zbl 07803462 Kinet. Relat. Models 17, No. 1, 1-28 (2024). MSC: 81-08 35Q40 35Q41 65M12 82C10 PDFBibTeX XMLCite \textit{S. P. Bragdon} and \textit{O. Pinaud}, Kinet. Relat. Models 17, No. 1, 1--28 (2024; Zbl 07803462) Full Text: DOI arXiv
Rodríguez-Borbón, José M.; Wang, Xian; Diéguez, Adrián P.; Ibrahim, Khaled Z.; Wong, Bryan M. TRAVOLTA: GPU acceleration and algorithmic improvements for constructing quantum optimal control fields in photo-excited systems. (English) Zbl 07803307 Comput. Phys. Commun. 296, Article ID 109017, 11 p. (2024). MSC: 65K10 PDFBibTeX XMLCite \textit{J. M. Rodríguez-Borbón} et al., Comput. Phys. Commun. 296, Article ID 109017, 11 p. (2024; Zbl 07803307) Full Text: DOI
Onuki, Yohei; Guioth, Jules; Bouchet, Freddy Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium. (English) Zbl 07802665 Ann. Henri Poincaré 25, No. 1, 1215-1259 (2024). MSC: 35Q55 35Q41 35Q20 35Q82 82C40 82B44 60F10 35R60 PDFBibTeX XMLCite \textit{Y. Onuki} et al., Ann. Henri Poincaré 25, No. 1, 1215--1259 (2024; Zbl 07802665) Full Text: DOI arXiv
Lei, Ling; Tian, Shou-Fu The \(\overline{\partial}\)-dressing method and soliton solutions for the reverse space-time nonlocal Sasa-Satsuma equation. (English) Zbl 07802030 J. Math. Anal. Appl. 534, No. 1, Article ID 128127, 11 p. (2024). MSC: 35Q55 35Q41 35C08 82D40 78A60 37K10 37K35 35P25 PDFBibTeX XMLCite \textit{L. Lei} and \textit{S.-F. Tian}, J. Math. Anal. Appl. 534, No. 1, Article ID 128127, 11 p. (2024; Zbl 07802030) Full Text: DOI
Li, Shangshuai; Zhang, Da-jun Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations. (English) Zbl 07801783 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024). MSC: 35Q55 35Q41 37K10 82C10 82C26 35C08 PDFBibTeX XMLCite \textit{S. Li} and \textit{D.-j. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024; Zbl 07801783) Full Text: DOI
Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07801761 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024; Zbl 07801761) Full Text: DOI
Huang, Jiaxi; Zhao, Lifeng Asymptotic behavior of incompressible Schrödinger flow for small data in three dimensions. (English) Zbl 07801722 J. Differ. Equations 386, 519-556 (2024). MSC: 35Q55 35Q41 35Q35 76D05 35P25 35B65 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{J. Huang} and \textit{L. Zhao}, J. Differ. Equations 386, 519--556 (2024; Zbl 07801722) Full Text: DOI arXiv
Geng, Xianguo; Liu, Wenhao; Li, Ruomeng Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data. (English) Zbl 07801712 J. Differ. Equations 386, 113-163 (2024). MSC: 35Q15 35Q55 35Q41 35Q60 78A60 37K15 37K35 35C08 35B40 35P25 41A60 PDFBibTeX XMLCite \textit{X. Geng} et al., J. Differ. Equations 386, 113--163 (2024; Zbl 07801712) Full Text: DOI
Figueroa-López, Rodiak N.; Nascimento, Marcelo J. D. Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation. (English) Zbl 07801711 J. Differ. Equations 386, 80-112 (2024). MSC: 35Q55 35Q41 35B40 35B41 35B45 28A80 35A01 35A02 PDFBibTeX XMLCite \textit{R. N. Figueroa-López} and \textit{M. J. D. Nascimento}, J. Differ. Equations 386, 80--112 (2024; Zbl 07801711) Full Text: DOI
Faminskii, Andrei V. Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schrödinger equation. (English) Zbl 07799711 J. Math. Anal. Appl. 533, No. 2, Article ID 128003, 22 p. (2024). MSC: 35Q55 35Q41 35D30 35B30 35A01 35A02 35G31 PDFBibTeX XMLCite \textit{A. V. Faminskii}, J. Math. Anal. Appl. 533, No. 2, Article ID 128003, 22 p. (2024; Zbl 07799711) Full Text: DOI arXiv
Banica, Valeria; Lucà, Renato; Tzvetkov, Nikolay; Vega, Luis Blow-up for the 1D cubic NLS. (English) Zbl 07798463 Commun. Math. Phys. 405, No. 1, Paper No. 11, 21 p. (2024). MSC: 35Q55 35Q41 35B44 35B05 35B40 PDFBibTeX XMLCite \textit{V. Banica} et al., Commun. Math. Phys. 405, No. 1, Paper No. 11, 21 p. (2024; Zbl 07798463) Full Text: DOI arXiv
Wang, Hanquan; Wang, Jing; Zhang, Shaobo; Zhang, Yong A time splitting Chebyshev-Fourier spectral method for the time-dependent rotating nonlocal Schrödinger equation in polar coordinates. (English) Zbl 07797659 J. Comput. Phys. 498, Article ID 112680, 20 p. (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{H. Wang} et al., J. Comput. Phys. 498, Article ID 112680, 20 p. (2024; Zbl 07797659) Full Text: DOI
Zhang, Qian Global solutions of \(2\)-\(D\) cubic Dirac equation with non-compactly supported data. (English) Zbl 07796593 J. Geom. Anal. 34, No. 3, Paper No. 77, 26 p. (2024). MSC: 35B40 35L71 35Q41 35Q55 PDFBibTeX XMLCite \textit{Q. Zhang}, J. Geom. Anal. 34, No. 3, Paper No. 77, 26 p. (2024; Zbl 07796593) Full Text: DOI arXiv
Chen, Xi Existence of modified wave operators and infinite cascade result for a half wave Schrödinger equation on the plane. (English) Zbl 07794596 J. Funct. Anal. 286, No. 2, Article ID 110222, 74 p. (2024). MSC: 35Q55 35Q41 35B05 35B34 35B40 35A01 45K05 35R09 PDFBibTeX XMLCite \textit{X. Chen}, J. Funct. Anal. 286, No. 2, Article ID 110222, 74 p. (2024; Zbl 07794596) Full Text: DOI arXiv
Wang, Li-Lian; Yan, Jingye; Zhang, Xiaolong Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation. (English) Zbl 07794525 SIAM J. Numer. Anal. 62, No. 1, 119-137 (2024). MSC: 65N35 65N22 65F05 65N15 35J05 35B65 35Q55 35Q41 PDFBibTeX XMLCite \textit{L.-L. Wang} et al., SIAM J. Numer. Anal. 62, No. 1, 119--137 (2024; Zbl 07794525) Full Text: DOI arXiv
Bao, Weizhu; Wang, Chushan Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. (English) Zbl 07794524 SIAM J. Numer. Anal. 62, No. 1, 93-118 (2024). MSC: 35Q55 35Q41 35S30 81Q05 65M70 65M15 35B65 PDFBibTeX XMLCite \textit{W. Bao} and \textit{C. Wang}, SIAM J. Numer. Anal. 62, No. 1, 93--118 (2024; Zbl 07794524) Full Text: DOI arXiv
Wang, Sheng-Nan; Yu, Guo-Fu Rational and semi-rational solutions to the nonlocal Davey-Stewartson III equation. (English) Zbl 07793553 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107739, 15 p. (2024). MSC: 35Q55 35Q41 37K10 35C08 35R09 PDFBibTeX XMLCite \textit{S.-N. Wang} and \textit{G.-F. Yu}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107739, 15 p. (2024; Zbl 07793553) Full Text: DOI
Camps, Nicolas; Gassot, Louise; Ibrahim, Slim Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation. (English) Zbl 07791844 J. Differ. Equations 380, 443-490 (2024). MSC: 35Q55 35Q41 35A01 35A02 60B15 35R25 35R60 PDFBibTeX XMLCite \textit{N. Camps} et al., J. Differ. Equations 380, 443--490 (2024; Zbl 07791844) Full Text: DOI arXiv
Liu, Huimin; Bian, Dongfen; Pu, Xueke NLS approximation of the Euler-Poisson system for a cold ion-acoustic plasma. (English) Zbl 07791809 J. Differ. Equations 379, 125-147 (2024). MSC: 35Q55 35Q41 35Q31 35Q60 35M10 35B65 76X05 78A30 82D10 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Differ. Equations 379, 125--147 (2024; Zbl 07791809) Full Text: DOI
Gander, M. J.; Tonnoir, A. Analysis of Schwarz methods for convected Helmholtz-like equations. (English) Zbl 07790224 SIAM J. Sci. Comput. 46, No. 1, A1-A22 (2024). MSC: 65M55 65N55 65F08 65F10 35Q41 35Q55 35J05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{A. Tonnoir}, SIAM J. Sci. Comput. 46, No. 1, A1--A22 (2024; Zbl 07790224) Full Text: DOI
Cacciafesta, Federico; de Suzzoni, Anne-Sophie; Meng, Long; Sok, Jérémy Large time well-posedness for a Dirac-Klein-Gordon system. (English) Zbl 07784786 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113420, 33 p. (2024). MSC: 35Q41 35Q40 35B20 81V45 81Q05 81R20 81Q15 35A01 35A02 PDFBibTeX XMLCite \textit{F. Cacciafesta} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113420, 33 p. (2024; Zbl 07784786) Full Text: DOI arXiv
Danesi, Elena Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications. (English) Zbl 07784463 J. Funct. Anal. 286, No. 3, Article ID 110251, 38 p. (2024). MSC: 35Q41 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{E. Danesi}, J. Funct. Anal. 286, No. 3, Article ID 110251, 38 p. (2024; Zbl 07784463) Full Text: DOI arXiv
Khare, Avinash; Saxena, Avadh New solutions of nonlocal NLS, mKdV and Hirota equations. (English) Zbl 07783758 Ann. Phys. 460, Article ID 169561, 20 p. (2024). MSC: 35Q55 35Q41 35Q53 35C08 33E05 PDFBibTeX XMLCite \textit{A. Khare} and \textit{A. Saxena}, Ann. Phys. 460, Article ID 169561, 20 p. (2024; Zbl 07783758) Full Text: DOI arXiv
Li, Jiyong Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime. (English) Zbl 07783087 Calcolo 61, No. 1, Paper No. 3, 46 p. (2024). MSC: 65M70 35Q41 PDFBibTeX XMLCite \textit{J. Li}, Calcolo 61, No. 1, Paper No. 3, 46 p. (2024; Zbl 07783087) Full Text: DOI
Lin, Bingwen; Zhang, Yongshuai The Riemann-Hilbert approach for the Chen-Lee-Liu equation with higher-order poles. (English) Zbl 07782659 Appl. Math. Lett. 149, Article ID 108916, 5 p. (2024). MSC: 35Q55 35Q41 35Q15 37K15 37K35 37K10 35C08 35B40 35P25 PDFBibTeX XMLCite \textit{B. Lin} and \textit{Y. Zhang}, Appl. Math. Lett. 149, Article ID 108916, 5 p. (2024; Zbl 07782659) Full Text: DOI
Brzeźniak, Zdzisław; Ferrario, Benedetta; Zanella, Margherita Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation. (English) Zbl 07781003 Nonlinearity 37, No. 1, Article ID 015001, 67 p. (2024). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35R60 60H30 60G10 60H15 35A01 35A02 35R01 35R06 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Nonlinearity 37, No. 1, Article ID 015001, 67 p. (2024; Zbl 07781003) Full Text: DOI arXiv OA License
Li, Hongwei; Chen, Lulu Numerical solution of nonlinear Schrödinger equation with damping term on unbounded domain. (English) Zbl 07766580 Appl. Math. Lett. 148, Article ID 108893, 8 p. (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{H. Li} and \textit{L. Chen}, Appl. Math. Lett. 148, Article ID 108893, 8 p. (2024; Zbl 07766580) Full Text: DOI
Yang, Bo; Yang, Jianke Rogue wave patterns associated with Adler-Moser polynomials in the nonlinear Schrödinger equation. (English) Zbl 1528.35171 Appl. Math. Lett. 148, Article ID 108871, 9 p. (2024). MSC: 35Q55 35Q41 76U60 35B40 35B36 86A05 PDFBibTeX XMLCite \textit{B. Yang} and \textit{J. Yang}, Appl. Math. Lett. 148, Article ID 108871, 9 p. (2024; Zbl 1528.35171) Full Text: DOI arXiv
Ling, Liming; Sun, Xuan Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation. (English) Zbl 1528.35161 Appl. Math. Lett. 148, Article ID 108866, 9 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 14H42 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Appl. Math. Lett. 148, Article ID 108866, 9 p. (2024; Zbl 1528.35161) Full Text: DOI
Yin, Fengli; Fu, Yayun Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation. (English) Zbl 07763845 Appl. Numer. Math. 195, 1-16 (2024). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{F. Yin} and \textit{Y. Fu}, Appl. Numer. Math. 195, 1--16 (2024; Zbl 07763845) Full Text: DOI
Zheng, Bowen; Zhu, Wenjing Strong instability of standing waves for the divergence Schrödinger equation with inhomogeneous nonlinearity. (English) Zbl 1528.35173 J. Math. Anal. Appl. 530, No. 2, Article ID 127730, 22 p. (2024). MSC: 35Q55 35Q41 35A15 35B44 35B35 46E35 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{W. Zhu}, J. Math. Anal. Appl. 530, No. 2, Article ID 127730, 22 p. (2024; Zbl 1528.35173) Full Text: DOI
Ghosh, Sunit; Swain, Jitendriya Restriction theorem fails for the Fourier-Hermite transform associated with the normalized Hermite polynomials with respect to a discrete surface. (English) Zbl 1527.35328 Result. Math. 79, No. 1, Paper No. 1, 8 p. (2024). MSC: 35Q41 47B10 35P10 35B65 46T12 PDFBibTeX XMLCite \textit{S. Ghosh} and \textit{J. Swain}, Result. Math. 79, No. 1, Paper No. 1, 8 p. (2024; Zbl 1527.35328) Full Text: DOI
Li, Xiaoguang; Zhang, Guoqing; Liu, Lele Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs. (English) Zbl 1528.35162 J. Math. Anal. Appl. 530, No. 1, Article ID 127672, 26 p. (2024). MSC: 35Q55 35Q41 35A23 35A01 35R10 35R02 46E35 PDFBibTeX XMLCite \textit{X. Li} et al., J. Math. Anal. Appl. 530, No. 1, Article ID 127672, 26 p. (2024; Zbl 1528.35162) Full Text: DOI
Wang, Yating; Liu, Liu On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation. (English) Zbl 07756728 J. Comput. Appl. Math. 438, Article ID 115504, 15 p. (2024). MSC: 65Mxx 35Rxx 35Qxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{L. Liu}, J. Comput. Appl. Math. 438, Article ID 115504, 15 p. (2024; Zbl 07756728) Full Text: DOI arXiv
Hamaoka, Kosuzu; Kato, Keiichi; Takizawa, Shun Remark on Estimates in Modulation Spaces for Schrödinger Evolution Operators with Sub-quadratic Potentials. arXiv:2402.16360 Preprint, arXiv:2402.16360 [math.AP] (2024). MSC: 35Q41 35J10 BibTeX Cite \textit{K. Hamaoka} et al., ``Remark on Estimates in Modulation Spaces for Schr\"odinger Evolution Operators with Sub-quadratic Potentials'', Preprint, arXiv:2402.16360 [math.AP] (2024) Full Text: arXiv OA License
Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel Global approximate controllability of quantum systems by form perturbations and applications. arXiv:2402.02955 Preprint, arXiv:2402.02955 [math.OC] (2024). MSC: 81Q93 35Q41 35J10 46N50 47A55 81Q15 BibTeX Cite \textit{A. Balmaseda} et al., ``Global approximate controllability of quantum systems by form perturbations and applications'', Preprint, arXiv:2402.02955 [math.OC] (2024) Full Text: arXiv OA License
Duyckaerts, Thomas; Yang, Jianwei Urban Dispersive estimates for wave and Schrödinger equations with a potential in non-trapping exterior domains. arXiv:2401.12608 Preprint, arXiv:2401.12608 [math.AP] (2024). MSC: 35L05 35Q41 35B65 35P25 BibTeX Cite \textit{T. Duyckaerts} and \textit{J. U. Yang}, ``Dispersive estimates for wave and Schr\"odinger equations with a potential in non-trapping exterior domains'', Preprint, arXiv:2401.12608 [math.AP] (2024) Full Text: arXiv OA License
Hauser, Brandon; Holmes, John; O’Keefe, Eoghan; Raynor, Sarah; Yu, Chuanyang Finite time blowup for the nonlinear Schrödinger equation with a delta potential. (English) Zbl 07824355 Involve 16, No. 4, 591-604 (2023). MSC: 35Q41 PDFBibTeX XMLCite \textit{B. Hauser} et al., Involve 16, No. 4, 591--604 (2023; Zbl 07824355) Full Text: DOI
Procesi, Michela Stability and recursive solutions in Hamiltonian PDEs. (English) Zbl 07823077 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3552-3574 (2023). MSC: 37K55 37K45 35B35 35Q41 PDFBibTeX XMLCite \textit{M. Procesi}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3552--3574 (2023; Zbl 07823077) Full Text: DOI OA License
Hu, Pipi; Xie, Peng; Zhu, Yi Traveling edge states in massive Dirac equations along slowly varying edges. (English) Zbl 07813607 IMA J. Appl. Math. 88, No. 3, 455-471 (2023). MSC: 35C07 35Q41 81Q05 PDFBibTeX XMLCite \textit{P. Hu} et al., IMA J. Appl. Math. 88, No. 3, 455--471 (2023; Zbl 07813607) Full Text: DOI arXiv
Senapati, P. Jitendra Kumar; Boggarapu, Pradeep Sharp Strichartz type estimates for the Schrödinger equation associated with harmonic oscillator. (English) Zbl 07808305 J. Anal. 31, No. 3, 2085-2096 (2023). MSC: 35B45 35J10 35Q41 42B37 42B15 42B35 PDFBibTeX XMLCite \textit{P. J. K. Senapati} and \textit{P. Boggarapu}, J. Anal. 31, No. 3, 2085--2096 (2023; Zbl 07808305) Full Text: DOI arXiv
Jian, Hui; Gong, Min; Cai, Meixia Global existence, blow-up and mass concentration for the inhomogeneous nonlinear Schrödinger equation with inverse-square potential. (English) Zbl 07804458 Electron. Res. Arch. 31, No. 12, 7427-7451 (2023). MSC: 35Q55 35Q41 35B44 35A01 35A02 35J15 PDFBibTeX XMLCite \textit{H. Jian} et al., Electron. Res. Arch. 31, No. 12, 7427--7451 (2023; Zbl 07804458) Full Text: DOI
Demontis, Francesco; van der Mee, Cornelis From the AKNS system to the matrix Schrödinger equation with vanishing potentials: direct and inverse problems. (English) Zbl 07801256 Stud. Appl. Math. 150, No. 2, 481-519 (2023). MSC: 35Q55 35Q41 35Q53 81Q10 35R30 37K10 37K35 35P25 35B40 PDFBibTeX XMLCite \textit{F. Demontis} and \textit{C. van der Mee}, Stud. Appl. Math. 150, No. 2, 481--519 (2023; Zbl 07801256) Full Text: DOI arXiv
Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor On the Whitham system for the (2+1)-dimensional nonlinear Schrödinger equation. (English) Zbl 07801252 Stud. Appl. Math. 150, No. 2, 380-419 (2023). MSC: 35Q55 35Q41 35C07 35C08 35B35 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Stud. Appl. Math. 150, No. 2, 380--419 (2023; Zbl 07801252) Full Text: DOI arXiv
Bai, Genming; Li, Buyang; Wu, Yifei A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition. (English) Zbl 07800834 IMA J. Numer. Anal. 43, No. 6, 3243-3281 (2023). MSC: 65M70 42B25 65N35 65T50 35B65 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{G. Bai} et al., IMA J. Numer. Anal. 43, No. 6, 3243--3281 (2023; Zbl 07800834) Full Text: DOI
Faminskii, A. V.; Martynov, E. V. Inverse problems for the higher order nonlinear Schrödinger equation. (English) Zbl 07798216 J. Math. Sci., New York 274, No. 4, 475-492 (2023). MSC: 35Q55 35Q41 35R30 35G20 35N99 35A01 35A02 49N45 93C20 PDFBibTeX XMLCite \textit{A. V. Faminskii} and \textit{E. V. Martynov}, J. Math. Sci., New York 274, No. 4, 475--492 (2023; Zbl 07798216) Full Text: DOI
Chaichenets, L.; Pattakos, N. Higher-order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result. (English) Zbl 07795675 Q. J. Math. 74, No. 3, 1015-1025 (2023). MSC: 35Q55 35Q41 78A60 78A45 35C08 35A01 35A02 35G25 PDFBibTeX XMLCite \textit{L. Chaichenets} and \textit{N. Pattakos}, Q. J. Math. 74, No. 3, 1015--1025 (2023; Zbl 07795675) Full Text: DOI arXiv
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 07795461 Math. Methods Appl. Sci. 46, No. 15, 16006-16036 (2023). MSC: 65N06 35M33 35Q60 35Q41 PDFBibTeX XMLCite \textit{V. Trofimov} et al., Math. Methods Appl. Sci. 46, No. 15, 16006--16036 (2023; Zbl 07795461) Full Text: DOI
Dodson, Benjamin Scattering for the defocusing, nonlinear Schrödinger equation with initial data in a critical space. (English) Zbl 07795011 Int. Math. Res. Not. 2023, No. 23, 19932-19962 (2023). MSC: 35Q55 35Q41 35P25 35B44 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{B. Dodson}, Int. Math. Res. Not. 2023, No. 23, 19932--19962 (2023; Zbl 07795011) Full Text: DOI arXiv
Khater, Mostafa M. A. Hybrid accurate simulations for constructing some novel analytical and numerical solutions of three-order GNLS equation. (English) Zbl 07793955 Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350159, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 35C07 35B35 35A20 37K40 65D07 PDFBibTeX XMLCite \textit{M. M. A. Khater}, Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350159, 22 p. (2023; Zbl 07793955) Full Text: DOI
Chu, Rena; Pierce, Lillian B. Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples. (English) Zbl 07793421 J. Anal. Math. 151, No. 1, 59-114 (2023). MSC: 35J10 35Q41 42B25 11Exx PDFBibTeX XMLCite \textit{R. Chu} and \textit{L. B. Pierce}, J. Anal. Math. 151, No. 1, 59--114 (2023; Zbl 07793421) Full Text: DOI arXiv
Dobrokhotov, S. Yu. Asymptotics of the Cauchy problem for the one-dimensional Schrödinger equation with rapidly oscillating initial data and small addition to the smooth potential. (English) Zbl 07788012 Russ. J. Math. Phys. 30, No. 4, 466-479 (2023). MSC: 35Q41 35Q40 81Q80 35B40 35C20 34B24 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov}, Russ. J. Math. Phys. 30, No. 4, 466--479 (2023; Zbl 07788012) Full Text: DOI
Wang, Jianyun; Tian, Zhikun Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method. (English) Zbl 07786759 Results Appl. Math. 20, Article ID 100404, 9 p. (2023). MSC: 65M60 65M06 65N30 65M55 65N50 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Z. Tian}, Results Appl. Math. 20, Article ID 100404, 9 p. (2023; Zbl 07786759) Full Text: DOI
Ge, Ang; Shen, Jinye; Vong, Seakweng Space-time methods based on isogeometric analysis for time-fractional Schrödinger equation. (English) Zbl 07784033 J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023). MSC: 65M60 65D07 65M12 65M22 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{A. Ge} et al., J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023; Zbl 07784033) Full Text: DOI
Zhou, Xuanxuan; Cai, Yongyong; Tang, Xingdong; Xu, Guixiang Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential. (English) Zbl 07783084 Calcolo 60, No. 4, Paper No. 57, 28 p. (2023). MSC: 35Q55 35Q41 65M70 65M06 65N35 35B44 PDFBibTeX XMLCite \textit{X. Zhou} et al., Calcolo 60, No. 4, Paper No. 57, 28 p. (2023; Zbl 07783084) Full Text: DOI
Purohit, Sunil Dutt; Baleanu, Dumitru; Jangid, Kamlesh On the solutions for generalised multiorder fractional partial differential equations arising in physics. (English) Zbl 07782472 Math. Methods Appl. Sci. 46, No. 7, 8139-8147 (2023). MSC: 35R11 35G16 35Q41 PDFBibTeX XMLCite \textit{S. D. Purohit} et al., Math. Methods Appl. Sci. 46, No. 7, 8139--8147 (2023; Zbl 07782472) Full Text: DOI
Peng, Wei-Qi; Chen, Yong Bound-state soliton and rogue wave solutions for the sixth-order nonlinear Schrödinger equation via inverse scattering transform method. (English) Zbl 07781115 Math. Methods Appl. Sci. 46, No. 1, 126-141 (2023). MSC: 35Q55 35Q41 35Q15 35Q51 35C08 37K15 37K35 PDFBibTeX XMLCite \textit{W.-Q. Peng} and \textit{Y. Chen}, Math. Methods Appl. Sci. 46, No. 1, 126--141 (2023; Zbl 07781115) Full Text: DOI arXiv
Ccajma, Vernny; Neves, Wladimir; Silva, Jean Homogenization of Schrödinger equations. Extended effective mass theorems for non-crystalline matter. (English. French summary) Zbl 07780692 J. Math. Pures Appl. (9) 180, 47-96 (2023). MSC: 35B27 35B40 35J10 35Q41 60H15 78M40 81Q20 PDFBibTeX XMLCite \textit{V. Ccajma} et al., J. Math. Pures Appl. (9) 180, 47--96 (2023; Zbl 07780692) Full Text: DOI arXiv
Zhang, Hui; Jiang, Xiaoyun Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrödinger equation. (English) Zbl 07779725 Numer. Methods Partial Differ. Equations 39, No. 1, 657-677 (2023). MSC: 65M06 65N35 65T50 65M12 65M15 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Jiang}, Numer. Methods Partial Differ. Equations 39, No. 1, 657--677 (2023; Zbl 07779725) Full Text: DOI
Lu, Yufeng Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite \(L^2\) norm. (English) Zbl 07778777 Stud. Appl. Math. 150, No. 3, 883-898 (2023). MSC: 35Q53 35Q55 35Q41 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Lu}, Stud. Appl. Math. 150, No. 3, 883--898 (2023; Zbl 07778777) Full Text: DOI arXiv
Carles, Rémi; Il’yasov, Yavdat On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential. (English) Zbl 07778761 Stud. Appl. Math. 150, No. 1, 92-118 (2023). MSC: 35Q55 35Q41 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{R. Carles} and \textit{Y. Il'yasov}, Stud. Appl. Math. 150, No. 1, 92--118 (2023; Zbl 07778761) Full Text: DOI arXiv OA License
Li, Jiyong; Jin, Xiaoqian Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. (English) Zbl 07777359 Numer. Methods Partial Differ. Equations 39, No. 4, 3375-3416 (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B05 35B65 81V05 81Q05 35Q41 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Jin}, Numer. Methods Partial Differ. Equations 39, No. 4, 3375--3416 (2023; Zbl 07777359) Full Text: DOI
Gao, Yijin; Mayfield, Jay; Luo, Songting Numerical solutions of the time-dependent Schrödinger equation with position-dependent effective mass. (English) Zbl 07777353 Numer. Methods Partial Differ. Equations 39, No. 4, 3222-3245 (2023). MSC: 65M22 65F10 65F25 65F55 65F60 65T50 65M80 41A58 35B40 35Q41 PDFBibTeX XMLCite \textit{Y. Gao} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3222--3245 (2023; Zbl 07777353) Full Text: DOI
Mondal, Shyam Swarup; Swain, Jitendriya Correction to: “Restriction theorem for the Fourier-Hermite transform and solution of the Hermite-Schrödinger equation”. (English) Zbl 07777058 Adv. Oper. Theory 8, No. 3, Paper No. 47, 7 p. (2023). MSC: 35Q41 47B10 35P10 35B65 PDFBibTeX XMLCite \textit{S. S. Mondal} and \textit{J. Swain}, Adv. Oper. Theory 8, No. 3, Paper No. 47, 7 p. (2023; Zbl 07777058) Full Text: DOI
Li, Ze Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: energy critical case. (English) Zbl 1528.35165 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4879-4969 (2023). MSC: 35Q55 35Q41 35K05 53E30 35B65 35B40 35A01 35A02 35R01 PDFBibTeX XMLCite \textit{Z. Li}, J. Eur. Math. Soc. (JEMS) 25, No. 12, 4879--4969 (2023; Zbl 1528.35165) Full Text: DOI arXiv
Ma, Shu; Wang, Jilu; Zhang, Mingyan; Zhang, Zhimin Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator. (English) Zbl 07773316 Adv. Comput. Math. 49, No. 6, Paper No. 77, 38 p. (2023). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M70 65H10 65H10 65M15 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{S. Ma} et al., Adv. Comput. Math. 49, No. 6, Paper No. 77, 38 p. (2023; Zbl 07773316) Full Text: DOI
Liu, Yang; Ran, Maohua; Zhang, Li Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations. (English) Zbl 1525.65107 Comput. Math. Appl. 150, 54-69 (2023). MSC: 65M70 35Q41 35R11 70H05 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 150, 54--69 (2023; Zbl 1525.65107) Full Text: DOI
Mercado, Alberto; Morales, Roberto Exact controllability for a Schrödinger equation with dynamic boundary conditions. (English) Zbl 1527.35330 SIAM J. Control Optim. 61, No. 6, 3501-3525 (2023). MSC: 35Q41 93B05 93B07 93C05 93C20 35M13 PDFBibTeX XMLCite \textit{A. Mercado} and \textit{R. Morales}, SIAM J. Control Optim. 61, No. 6, 3501--3525 (2023; Zbl 1527.35330) Full Text: DOI arXiv
Faou, Erwan; Raphaël, Pierre On weakly turbulent solutions to the perturbed linear harmonic oscillator. (English) Zbl 1527.35327 Am. J. Math. 145, No. 5, 1465-1507 (2023). MSC: 35Q41 35Q40 81Q15 35B40 35B65 35B05 PDFBibTeX XMLCite \textit{E. Faou} and \textit{P. Raphaël}, Am. J. Math. 145, No. 5, 1465--1507 (2023; Zbl 1527.35327) Full Text: DOI arXiv
Matsuno, Yoshimasa Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity. (English) Zbl 1527.35389 Stud. Appl. Math. 151, No. 3, 883-922 (2023). MSC: 35Q55 35Q41 35C08 35P15 37K10 37K35 34A34 PDFBibTeX XMLCite \textit{Y. Matsuno}, Stud. Appl. Math. 151, No. 3, 883--922 (2023; Zbl 1527.35389) Full Text: DOI arXiv
Ćwiszewski, Aleksander; Kokocki, Piotr Standing waves for Schrödinger equations with Kato-Rellich potentials. (English) Zbl 1527.35370 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113373, 20 p. (2023). MSC: 35Q55 35Q41 35J10 35B32 35B40 35K15 35J15 PDFBibTeX XMLCite \textit{A. Ćwiszewski} and \textit{P. Kokocki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113373, 20 p. (2023; Zbl 1527.35370) Full Text: DOI arXiv
Hamouda, Makram; Majdoub, Mohamed Existence and nonexistence of global solutions for time-dependent damped NLS equations. (English) Zbl 1527.35379 Commun. Pure Appl. Anal. 22, No. 10, 3083-3098 (2023). MSC: 35Q55 35Q41 35A01 35A02 35B30 35B44 PDFBibTeX XMLCite \textit{M. Hamouda} and \textit{M. Majdoub}, Commun. Pure Appl. Anal. 22, No. 10, 3083--3098 (2023; Zbl 1527.35379) Full Text: DOI arXiv
Boussaïd, Nabile; Cacciapuoti, Claudio; Carlone, Raffaele; Comech, Andrew; Noja, Diego; Posilicano, Andrea Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity. (English) Zbl 1527.35043 Commun. Pure Appl. Anal. 22, No. 10, 3029-3067 (2023). MSC: 35B35 35C08 35P05 35Q41 PDFBibTeX XMLCite \textit{N. Boussaïd} et al., Commun. Pure Appl. Anal. 22, No. 10, 3029--3067 (2023; Zbl 1527.35043) Full Text: DOI arXiv
Martel, Yvan; Naumkin, Ivan Nonflat conformal blow-up profiles for the 1-dimensional critical nonlinear Schrödinger equation. (English) Zbl 1527.35387 Tunis. J. Math. 5, No. 3, 505-572 (2023). MSC: 35Q55 35Q41 35B44 35B40 35C08 37K40 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{I. Naumkin}, Tunis. J. Math. 5, No. 3, 505--572 (2023; Zbl 1527.35387) Full Text: DOI