Perturbation of the Korteweg-de Vries soliton

DOI10.1007/BF01018701zbMath0787.35095MaRDI QIDQ1204581

Leonid A. Kalyakin

Publication date: 11 March 1993

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

equations for the slowly varying soliton parametersfirst correction of the amplitude expansion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Perturbations in context of PDEs (35B20)

Related Items (9)

Perturbation theory for the Dirac equation in two-dimensional space ⋮ Soliton‐type asymptotics for non‐integrable equations: a survey ⋮ Perturbative analysis of wave interaction in nonlinear systems ⋮ Asymptotic multiphase {\(\Sigma\)}-solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficients ⋮ Asymptotic decay of solutions of the Liouville equation under perturbations ⋮ Two-phase solitonlike solutions of the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients ⋮ Characterization of partially dissipated solitons in a traveling-wave field-effect transistor ⋮ Perturbation of a two-soliton solution of the Korteweg-de Vries equation in the case of close amplitudes ⋮ Perturbation of the two-soliton solution to the KdV equation

Cites Work

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• Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I
• Closure of the squared Zakharov-Shabat eigenstates
• Slowly varying solitary waves. I. Korteweg-de Vries equation
• Completeness of Derivatives of Squared Schrödinger Eigenfunctions and Explicit Solutions of the Linearized K<scp>d</scp>V Equation
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform

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