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Perturbation of a two-soliton solution of the Korteweg-de Vries equation in the case of close amplitudes

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Publication:1567795
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DOI10.1007/BF02557331zbMath0944.35086OpenAlexW1971534878MaRDI QIDQ1567795

V. A. Lazarev

Publication date: 26 June 2000

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

Full work available at URL: https://doi.org/10.1007/bf02557331


zbMATH Keywords

perturbationCauchy problemKorteweg-de Vries equation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations in context of PDEs (35B20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)




Cites Work

  • Perturbation of the Korteweg-de Vries soliton
  • Generation of soliton pairs in nonlinear media with weak dissipation
  • Perturbation of the two-soliton solution to the KdV equation
  • Asymptotics of the first correction in the perturbation of the \(N\)-soliton solution of the KdV equation
  • Completeness of Derivatives of Squared Schrödinger Eigenfunctions and Explicit Solutions of the Linearized K<scp>d</scp>V Equation
  • On the Interaction of Nearly Equal Solitons in the KdV Equation


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