Interaction of solitons and the effect of radiation for the generalized KdV equation

Martín G. García-Alvarado*, Georgii A. Omel'yanov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We consider the generalized KdV equation with nonlinearity u4 and small dispersion ε. Our main result consists in the conclusion that, in the leading term with respect to ε, the solitary waves interact in this model like KdV solitons but both small corrections of the soliton parameters and small radiation term appear as a result of the waves collision. Our main tool is the numerical simulation.

Original languageEnglish
Pages (from-to)2724-2733
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume19
Issue number8
DOIs
StatePublished - Aug 2014

Bibliographical note

Funding Information:
The research was supported by SEP-CONACYT under Grant 178690 (Mexico).

Keywords

  • Finite differences scheme
  • Generalized Korteweg-de Vries equation
  • Interaction
  • Soliton
  • Weak asymptotics method

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