The Boussinesq equation revisited

نویسندگان

  • L. V. Bogdanov
  • V. E. Zakharov
  • L. D. Landau
چکیده

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. © 2002 Elsevier Science B.V. All rights reserved.

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تاریخ انتشار 2002