Applications of the generalized algebraic method to special-type nonlinear equations

The generalized algebraic method with symbolic computation is extended to some special-type nonlinear equations for constructing a series of new and more general travelling wave solutions in term of special functions. Such equations cannot be directly dealt with by the method and require some kinds of pre-possessing techniques. It is shown that soliton solutions and triangular periodic solutions can be established as the limits of the Jacobi doubly periodic wave solutions. In addition, as an illustrative sample, the properties for soliton and Jacobi doubly periodic wave solutions of couple Higgs equation and Maccari system are shown with some figures.