A series of exact solutions for coupled Higgs field equation and coupled Schrödinger–Boussinesq equation Original Research Article

In this paper 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.