Some new nonlinear wave solutions for two (3+1)-dimensional equations

摘要

In this paper, two methods are employed to study the nonlinear wave solutions for two (3+1)-dimensional equations which can be reduced to the potential KdV equation.Firstly, using the simplified Hirota’s method, we present generalized multiple soliton solutions and generalized multiple singular soliton solutions in which some differentiable arbitrary functions are involved. Secondly, by means of some special orbits of the traveling wave system and integrating approach, we obtain some other nonlinear wave solutions which also include differentiable arbitrary functions. Our work extends pioneer’s results.