The perturbed Korteweg–de Vries equation considered anew

DOI10.1063/1.532066zbMath0880.35107OpenAlexW2086417348MaRDI QIDQ4352194

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Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1063/1.532066

zbMATH Keywords

Green's functionBäcklund transformationfirst-order perturbation theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations in context of PDEs (35B20)

Related Items (6)

Soliton perturbation theory for the compound KdV equation ⋮ Perturbed nonlinear models from noncommutativity ⋮ Asymptotic stability of the Toda \(m\)-soliton ⋮ Singularity for solutions of linearized KdV equations ⋮ Green's function method for perturbed DNLS equation with the squared spectrum parameter ⋮ Exploring the connection between quasistationary and squared eigenfunction expansion techniques in soliton perturbation theory

Cites Work

• Closure of the squared Zakharov-Shabat eigenstates
• The perturbed sine-Gordon breather equation integrated by Riemann's method
• Conservation laws and the perturbed KdV equation
• Perturbations of Solitons and Solitary Waves
• A Green’s function for a linear equation associated with solitons
• Slowly Varying Solitary Wave Solutions of the Perturbed Korteweg‐de Vries Equation Revisited
• Systematic perturbation theory for sine - Gordon solitons without use of inverse scattering methods
• A direct approach to studying soliton perturbations
• Resolution of the motion of a perturbed KdV soliton

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