Study of the New Exact Solutions of a (3+1)-Dimensional Nonlinear Evolution Equation

摘要

By the symbolic computation system Maple and the Riccati mapping approach and a variable separation method, some new variable separation solutions (including solitory wave solutions and periodic wave solutions) of the (3+1)-dimensional generalized shallow water wave (3DWW) system are derived. Based on the derived solitary wave solution, some novel solitoff solutions are investigated.