Two new Wronskian conditions for the (3 + 1)-dimensional Jimbo–Miwa equation

摘要

In this paper, we obtain two kinds of sufficient conditions consisting of systems of linear partial differential equations, which guarantee that the corresponding Wroskian determinant solves the (3 + 1)-dimensional Jimbo–Miwa equation in the Hirota bilinear form. Our results suggest that more general conditions could be derived by further study.