Multicomponent integrable wave equations: II. Soliton solutions

Antonio Degasperis, Sara Lombardo

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)

Abstract

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 onesoliton 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
Pages (from-to)385206
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number38
DOIs
Publication statusPublished - 2009

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