Multicomponent integrable wave equations: II. Soliton solutions

Degasperis, Antonio and Lombardo, Sara (2009) Multicomponent integrable wave equations: II. Soliton solutions. Journal of Physics A: Mathematical and Theoretical, 42 (38). p. 385206. ISSN 1751-8113

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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.

Item Type:	Article
Uncontrolled Keywords:	engineering
Subjects:	F300 Physics G100 Mathematics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	EPrint Services
Date Deposited:	21 Dec 2010 14:40
Last Modified:	13 Oct 2019 00:25
URI:	http://nrl.northumbria.ac.uk/id/eprint/3043

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