New Solitary Wave Solution Of (3+1)-dimension Boussinesq Equation

In this thesis, we consider (3+1)-dimension Boussinesq equation as followingFor obtaining some new solitary wave solutions of (3+1)-dimension Boussinesq equation, by using the homogeneous balance method, Riccati equation and Maple, we obtain some solitary wave and periodic wave solutions of Boussinesq equation; by using the extended three-wave approach, we obtain some classic double-wave solutions and three-wave solutions of Boussinesq equation, such as periodic solitary wave solution, double-periodic solitary wave solution, breather wave solution, and so on. This thesis enriches theory of Boussinesq equation.