Two soliton collision for nonlinear Schrödinger equations in dimension 1

DOI10.1016/j.anihpc.2011.02.002zbMath1217.35176OpenAlexW2001798340MaRDI QIDQ540341

Galina Perelman

Publication date: 1 June 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2011.02.002

zbMATH Keywords

nonlinear Schrödinger equationsolitonscollision

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Description of two soliton collision for the quartic gKdV equation
• Stability of two soliton collision for nonintegrable gKdV equations
• A remark on soliton-potential interactions for nonlinear Schrödinger equations
• Long time behavior for the focusing nonlinear Schrödinger equation with real spectral singularities
• Fast soliton scattering by delta impurities
• Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
• Soliton splitting by external delta potentials
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension
• The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases

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