The Boussinesq equation revisited

L. V. Bogdanov, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)


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
Pages (from-to)137-162
Number of pages26
JournalPhysica D: Nonlinear Phenomena
Issue number3-4
Publication statusPublished - 15 May 2002
Externally publishedYes


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


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