Double-periodic soliton solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid

Abstract

Under investigation is the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in the incompressible fluid in this paper. The extended homoclinic test technique, ansätz functions and the bilinear form are used to construct double periodic-soliton solutions of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Some entirely new double periodic-soliton solutions are presented. The properties and physical structure for these obtained solutions are discussed with some figures. The ansätz functions are first used in (3+1)-dimensional higher order differential equation.