New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations

[摘要] A general algebraic method based on the generalized Jacobi elliptic functions expansionmethod, the improved general mapping deformation method, and the extended auxiliary function methodwith computerized symbolic computation is proposed to construct more new exact solutions for coupledSchrödinger-Boussinesq equations. As a result, several families of new generalized Jacobi elliptic functionwave solutions are obtained by using this method, some of them are degenerated to solitary wavesolutions and trigonometric function solutions in the limited cases, which shows that the general methodis more powerful than plenty of traditional methods and will be used in further works to establish moreentirely new solutions for other kinds of nonlinear partial differential equations arising in mathematicalphysics.

[学科分类] 应用数学