Multicomponent integrable wave equations: II. Soliton solutions

A. Degasperis*, S. Lombardo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

63 Citations (Scopus)


The Darboux-dressing transformations developed in Degasperis and Lombardo (2007 J. Phys. A: Math. Theor. 40 961-77) are here applied to construct soliton solutions for a class of boomeronic-type equations. The vacuum (i.e. vanishing) solution and the generic plane wave solution are both dressed to yield one-soliton solutions. The formulae are specialized to the particularly interesting case of the resonant interaction of three waves, a well-known model which is of boomeronic type. For this equation a novel solution which describes three locked dark pulses (simulton) is introduced.

Original languageEnglish
Article number385206
JournalJournal of Physics A: Mathematical and Theoretical
Issue number38
Publication statusPublished - 25 Sept 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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