Asymptotics of the first correction in the perturbation of the \(N\)-soliton solution of the KdV equation

DOI10.1007/BF02304103zbMath0849.35120MaRDI QIDQ1916615

Leonid A. Kalyakin

Publication date: 9 July 1996

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

zbMATH Keywords

asymptoticsFourier-type integralKdV equation\(N\)-soliton potential

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Integral representations of solutions to PDEs (35C15)

Related Items (2)

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

• 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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