On the dynamics of soliton interactions for the Korteweg-de Vries equation

DOI10.1016/0960-0779(92)90024-HzbMath0756.35076OpenAlexW2019010969MaRDI QIDQ1196037

Alan C. Bryan, Allan E. G. Stuart

Publication date: 18 January 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90024-h

zbMATH Keywords

multisoliton solutionexplicit decomposition

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items

Long-time behaviour of soliton ensembles. I: Emergence of ensembles., On the dynamics of soliton interactions for the Korteweg-de Vries equation, A direct and inverse problem for wave crests modelled by interactions of two solitons, On the long-time behaviour of soliton ensembles

Cites Work

• Internal structure of the two-soliton solution of the KdV equation
• On the dynamics of soliton interactions for the Korteweg-de Vries equation
• The Korteweg-de Vries Two-Soliton Solution as Interacting Two Single Solitons
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• A particle representation for Korteweg–de Vries solitons
• Soliton interactions (for the Korteweg-deVries equation): a new perspective
• On the Interaction of Nearly Equal Solitons in the KdV Equation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Integrals of nonlinear equations of evolution and solitary waves