A suitable transformation(trigonometric function method)is found to change nonlinear Boussinesq differential equations into nonlinear algebra equations,which are solved by Wu elimination method and therewith the general soliton solutions of Boussinesq differential equations are obtained.

In this paper, the main work and conclusions are as follows:(1) Introduction of Wu Elimination Method.

Wu elimination method is applied to solve the analytical solutions of power flow equations without extraneous roots or missing roots.

The algebra shape of Wu′s method of elimination;

In this paper,many traveling wave solutions to NLS equations were obtained by using hyperbola function method and Wu-elimination method,which include new traveling wave solutions and rational traveling wave solutions.

In this paper,with the aid of computer algebra system mothematica,many traveling wave solution to Schrdinger equation are obtained by using hyperbola function method and Wu-elimination method,including new traveling wave solutions and rational traveling wave solutions.

With the help of Mathematica, new explicit and exact traveling solutions for the generalized (2+1)-dimensional Nizhnik-Novikov-Vesselov equation are obtained by using bifunction method and Wu-elimination method.

With the help of the mathematic software Maple, one of the examples in Bai’s article is solved by using the improved method and the Wu elimination method.

With the help of Mathematica, new explicit and exact traveling solutions for Boussinesq equation are obtained by using bifunction method and Wu elimination method, including new solitary wave solutions and periodic solutions, and the bifunction method is further complemented.

The hyperbolic function format of BBM equation has been worked out by means of trigonometric function and Wu algebraic elimination;the equation′s bell solitary wave solution worked out by parameter hypothesis;its trigonometric function solution reached by homogeneous balance and Riccati format.