Soliton-cuspon interaction for the Camassa-Holm equation


Autoria(s): Ferreira, M. C.; Kraenkel, Roberto André; Zenchuk, A. I.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

10/12/1999

Resumo

The interaction of different kinds of solitary waves of the Camassa-Holm equation is investigated. We consider soliton-soliton, soliton-cuspon and cuspon-cuspon interactions. The description of these solutions had previously been shown to be reducible to the solution of an algebraic equation. Here we give explicit examples, numerically solving these algebraic equations and plotting the corresponding solutions. Further, we show that the interaction is elastic and leads to a shift in the position of the solitons or cuspons. We give the analytical expressions for this shift and represent graphically the coupled soliton-cuspon, soliton-soliton and cuspon-cuspon interactions.

Formato

8665-8670

Identificador

http://dx.doi.org/10.1088/0305-4470/32/49/307

Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 32, n. 49, p. 8665-8670, 1999.

0305-4470

http://hdl.handle.net/11449/23617

10.1088/0305-4470/32/49/307

WOS:000084325900008

Idioma(s)

eng

Publicador

Iop Publishing Ltd

Relação

Journal of Physics A: Mathematical and General

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article