Stability for the Korteweg-de Vries equation by inverse scattering theory

DOI10.1016/0003-4916(81)90004-XzbMath0471.35008OpenAlexW2064598402MaRDI QIDQ1157457

S. H. Smith

Publication date: 1981

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(81)90004-x

zbMATH Keywords

stabilityKorteweg-de Vries equationinverse scattering methodperturbed solutionmulti-soliton solutionsdispersion of the solitons

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Sufficient conditions for stability of solitary-wave solutions of model equations for long waves ⋮ Orbital stability of double solitons for the Benjamin-Ono equation ⋮ Stability of the soliton-like ``bubbles ⋮ Stability theory for solitary-wave solutions of scalar field equations ⋮ Asymptotic behaviour of solutions of the Korteweg-de Vries equation

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