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Abstract: The mapping approach is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations, the remarkable characteristic of which is that we can have many different ansatzs and thus end up with the abundance of solutions. In this paper, with the help of the improved mapping approach, we obtain new exact solutions (including solitary wave solutions, periodic wave solutions and variable separation solutions) of the (3+1)-dimensional Jimbo–Miwa system. [Copyright &y& Elsevier]

Abstract: By means of an extended mapping method and a variable separation method, a series of solitary wave solutions, periodic wave solutions and variable separation solutions to the (2+1)-dimensional breaking soliton system is derived. [Copyright &y& Elsevier]