Asymptotics of an integral that arises in the theory of perturbations of KdV solitons

DOI10.1007/BF01157696zbMath0810.35108OpenAlexW1996772012MaRDI QIDQ1181605

Leonid A. Kalyakin

Publication date: 27 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157696

zbMATH Keywords

asymptotic solutionperturbed KdV equationfirst correctionnondecreasing terms of asymptotic expansionone-soliton initial data

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Soliton equations (35Q51)

Cites Work

• Nonlinear longitudinal waves in inhomogeneous rods
• 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 Justification of the K<scp>d</scp>V Approximation to First Order in the Case ofN-Soliton Water Waves in a Canal
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