Analyticity of solitary-wave solutions of model equations for long waves

Yi A. Li, Jerry L. Bona

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

It is shown that solitary-wave solutions of model equations for long waves have an analytic extension to a strip in the complex plane that is symmetric about the real axis. The classes of equations to which the analysis applies include equations of Korteweg-de Vries type, the regularized long-wave equations, and particular instances of nonlinear Schrödinger equations.

Original languageEnglish
Pages (from-to)725-737
Number of pages13
JournalSIAM Journal on Mathematical Analysis
Volume27
Issue number3
DOIs
StatePublished - May 1996

Keywords

  • Analyticity
  • Korteweg-de Vries-type equations
  • Nonlinear dispersive wave equations
  • Regularity
  • Regularized long-wave-type equations
  • Schrödinger-type equations
  • Solitary waves

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