Weak asymptotics method and the interaction of infinitely narrow δ-solitons

V. G. Danilov, G. A. Omel'yanov

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19 Scopus citations

Abstract

A new method for studying the interaction of solitons for nonintegrable KdV-type equations with small dispersion is presented. Weak asymptotics method and the interaction of infinitely narrow δ-solitons is discussed. The solution is considered as a generalized function and the asymptotics are also calculated.

Original languageEnglish
Pages (from-to)773-799
Number of pages27
JournalNonlinear Analysis, Theory, Methods and Applications
Volume54
Issue number4
DOIs
StatePublished - Aug 2003

Bibliographical note

Funding Information:
This research was supported by the Russian Foundation for Basic Research under Grant No. 99-01-01074.

Keywords

  • Interaction
  • KdV-type equation
  • Small dispersion
  • Solutions

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