On the Inelastic Two-Soliton Collision for gKdV Equations with General Nonlinearity

DOI10.1093/imrn/rnp204zbMath1198.35234arXiv0903.1240OpenAlexW3105010309MaRDI QIDQ3565162

Claudio Muñoz

Publication date: 2 June 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1240

zbMATH Keywords

Korteweg-de Vries equationinelastic two-soliton collision

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (12)

Inelasticity of soliton collisions for the 5D energy critical wave equation ⋮ Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation ⋮ Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations ⋮ Inelastic interaction of nearly equal solitons for the quartic gKdV equation ⋮ On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations ⋮ Nonexistence of pure multi-solitons for the quartic gBBM equation ⋮ Breathers and the dynamics of solutions in KdV type equations ⋮ The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation ⋮ Geometric breathers of the mKdV equation ⋮ Non dispersive solutions of the generalized Korteweg-de Vries equations are typically multi-solitons ⋮ \(L^2\)-stability of multi-solitons ⋮ The Gardner equation and the stability of multi-kink solutions of the mKdV equation

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