A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. (English) Zbl 1172.35480

Hon, Y. C.; Fan, E. G.

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3501-3508 (2009).

Summary: We consider complex coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. An algebraic method is applied to construct solitary wave solutions, Jacobi periodic wave solutions and a range of other solutions of physical interest. It is shown that the Jacobi elliptic periodic wave solutions exactly degenerate to the soliton solutions at a certain limit condition.

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
35Q51	Soliton equations
35B10	Periodic solutions to PDEs
35C05	Solutions to PDEs in closed form

Keywords:

coupled Higgs equation; Schrödinger-Boussinesq equation; solitary waves; Jacobi elliptic functions; algebraic method

Software:

MACSYMA; ATFM

References:

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