The Boussinesq equation revisited

L. V. Bogdanov, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented.

Original languageEnglish (US)
Pages (from-to)137-162
Number of pages26
JournalPhysica D: Nonlinear Phenomena
Volume165
Issue number3-4
DOIs
StatePublished - May 15 2002
Externally publishedYes

Keywords

  • Collapse
  • Dressing method
  • Integrable equations
  • Nonlinear waves
  • Solitons

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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