New double periodic exact solutions of the coupled Schrödinger-Boussinesq equations describing physical processes in laser and plasma physics

A novel method is proposed to seek more new exact solutions for coupled Schrödinger-Boussinesq equations. In this present paper, an improved algebraic method based on the generalized Jacobi elliptic function method with symbolic computation is used to construct more new exact solutions for coupled Schrödinger-Boussinesq equations. As a result, several families of new generalized Jacobi double periodic elliptic function wave solutions are obtained by using this method, some of them are degenerated to solitary wave solutions in the limiting cases. The present generalized method is efficient, powerful, straightforward and concise, and it can be used in order to establish more entirely new exact solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.