Soliton dynamics for generalized KdV equations in a slowly varying medium

DOI10.2140/apde.2011.4.573zbMath1264.35188OpenAlexW2077233627MaRDI QIDQ1951713

Claudio Muñoz

Publication date: 24 May 2013

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: http://msp.org/apde/2011/4-4/p03.xhtml

zbMATH Keywords

soliton dynamicsgeneralized KdV equationsslowly varying medium

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

The approximate solution for Benjamin-Bona-Mahony equation under slowly varying medium ⋮ Asymptotic Stability of KdV Solitons on the Half-Line: A Study in the Energy Space ⋮ 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 ⋮ Geometric breathers of the mKdV equation ⋮ Inelastic character of solitons of slowly varying gKdV equations ⋮ Stability of KdV solitons on the half-line

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