Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations

DOI10.1017/S030821051500030XzbMath1337.35136arXiv1304.3049MaRDI QIDQ5744597

Stefan Le Coz, Tai-Peng Tsai, Dong Li

Publication date: 18 February 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3049

zbMATH Keywords

nonlinear Schrödinger equationmulti-soliton solutionmulti-kink solutionsoliton train

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation
• Stability of solutions for nonlinear Schrödinger equations in critical spaces
• Classification of the radial solutions of the focusing, energy-critical wave equation
• Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations