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
Rialland, Guillaume Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes. (English) Zbl 07804828 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113474, 30 p. (2024). MSC: 35Q55 35C08 35B40 35B20 35B35 PDFBibTeX XMLCite \textit{G. Rialland}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113474, 30 p. (2024; Zbl 07804828) Full Text: DOI arXiv
Kairzhan, Adilbek; Pusateri, Fabio Asymptotic stability near the soliton for quartic Klein-Gordon equation in 1D. (English) Zbl 07787347 Pure Appl. Anal. 5, No. 4, 795-832 (2023). MSC: 35B40 35C08 35L71 35P25 35Q55 42B37 43A32 PDFBibTeX XMLCite \textit{A. Kairzhan} and \textit{F. Pusateri}, Pure Appl. Anal. 5, No. 4, 795--832 (2023; Zbl 07787347) Full Text: DOI
Maeda, Masaya; Yoneda, Masafumi Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice. (English) Zbl 1522.35473 SUT J. Math. 59, No. 1, 11-32 (2023). MSC: 35Q55 35Q41 37K40 35C08 35B40 35B35 78A60 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{M. Yoneda}, SUT J. Math. 59, No. 1, 11--32 (2023; Zbl 1522.35473) Full Text: DOI arXiv
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. (English) Zbl 1516.35384 Discrete Contin. Dyn. Syst. 43, No. 6, 2137-2185 (2023). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{S. Masaki} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2137--2185 (2023; Zbl 1516.35384) Full Text: DOI arXiv
Liu, Wei; Yuan, Yongjun; Zhao, Xiaofei Computing the action ground state for the rotating nonlinear Schrödinger equation. (English) Zbl 1514.35129 SIAM J. Sci. Comput. 45, No. 2, A397-A426 (2023). MSC: 35J10 35Q55 65N12 PDFBibTeX XMLCite \textit{W. Liu} et al., SIAM J. Sci. Comput. 45, No. 2, A397--A426 (2023; Zbl 1514.35129) Full Text: DOI arXiv
Naumkin, Ivan; Weder, Ricardo The matrix nonlinear Schrödinger equation with a potential. (English. French summary) Zbl 1512.35546 J. Math. Pures Appl. (9) 172, 1-104 (2023). MSC: 35Q55 35Q41 35P25 35B40 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{R. Weder}, J. Math. Pures Appl. (9) 172, 1--104 (2023; Zbl 1512.35546) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya; Scrobogna, Stefano Small energy stabilization for 1D nonlinear Klein Gordon equations. (English) Zbl 1508.35142 J. Differ. Equations 350, 52-88 (2023). MSC: 35Q55 35A01 35A02 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} et al., J. Differ. Equations 350, 52--88 (2023; Zbl 1508.35142) Full Text: DOI arXiv
Ballesteros, Miguel; Iniesta, Diego; Naumkin, Ivan; Peña, Clemente Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential. (English) Zbl 1503.35205 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113183, 42 p. (2023). MSC: 35Q55 35Q41 35P25 35A01 PDFBibTeX XMLCite \textit{M. Ballesteros} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113183, 42 p. (2023; Zbl 1503.35205) Full Text: DOI
Li, Yongming; Lührmann, Jonas Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry. (English) Zbl 1503.35201 J. Differ. Equations 344, 172-202 (2023). MSC: 35Q51 35Q53 35B40 35B35 35B06 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Lührmann}, J. Differ. Equations 344, 172--202 (2023; Zbl 1503.35201) Full Text: DOI arXiv
Léger, Tristan; Pusateri, Fabio Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. (English) Zbl 1511.35243 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695-727 (2022). MSC: 35L71 35L15 35P25 35Q40 37K55 PDFBibTeX XMLCite \textit{T. Léger} and \textit{F. Pusateri}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695--727 (2022; Zbl 1511.35243) Full Text: DOI arXiv
Camps, Nicolas Asymptotic stability of small ground states for NLS under random perturbations. (English) Zbl 1519.35283 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261-1318 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q41 35Q51 35B40 42B10 42B37 35A01 35A02 35B35 35P30 35R60 PDFBibTeX XMLCite \textit{N. Camps}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261--1318 (2022; Zbl 1519.35283) Full Text: DOI arXiv
Martel, Yvan Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode. (English) Zbl 1510.35310 Probab. Math. Phys. 3, No. 4, 839-867 (2022). MSC: 35Q55 35Q41 35Q51 35C08 35B40 35A01 35A02 37K40 PDFBibTeX XMLCite \textit{Y. Martel}, Probab. Math. Phys. 3, No. 4, 839--867 (2022; Zbl 1510.35310) Full Text: DOI arXiv
Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. (English) Zbl 1504.35068 Duke Math. J. 171, No. 18, 3643-3705 (2022). MSC: 35B40 35C08 35L71 37K40 PDFBibTeX XMLCite \textit{J. Jendrej} et al., Duke Math. J. 171, No. 18, 3643--3705 (2022; Zbl 1504.35068) Full Text: DOI arXiv
Sigal, I. M. Differential equations of quantum mechanics. (English) Zbl 1504.35421 Q. Appl. Math. 80, No. 3, 451-480 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q41 35Q55 35Q56 81Q99 81U24 81V10 82D55 81V73 81V74 PDFBibTeX XMLCite \textit{I. M. Sigal}, Q. Appl. Math. 80, No. 3, 451--480 (2022; Zbl 1504.35421) Full Text: DOI arXiv
Maeda, Masaya Asymptotic stability of small bound state of nonlinear quantum walks. (English) Zbl 1507.81196 Physica D 439, Article ID 133408, 14 p. (2022). MSC: 81V45 60G50 35B35 35B32 35P15 81U05 PDFBibTeX XMLCite \textit{M. Maeda}, Physica D 439, Article ID 133408, 14 p. (2022; Zbl 1507.81196) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method. (English) Zbl 1490.35406 J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022). MSC: 35Q55 35Q41 35C08 35B40 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022; Zbl 1490.35406) Full Text: DOI arXiv
Li, Kelin; Di, Huafei On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term. (English) Zbl 1483.35216 Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4293-4320 (2021). MSC: 35Q55 35K30 35A01 35A02 35B35 35B20 35B44 35B40 PDFBibTeX XMLCite \textit{K. Li} and \textit{H. Di}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 12, 4293--4320 (2021; Zbl 1483.35216) Full Text: DOI