New Localized Structure for (2+1) Dimensional Boussinesq-Kadomtsev-Petviashvili Equation

Abstract

In this work, we use a variable separation approach to construct some novel exact solutions of a (2+1)-dimensional Boussinesq-Kadomtsev-Petviashvili equation. Thanks to two variable-separated arbitrary functions, some new soliton excitations and localized structures are obtained. It is observed that large amplitude waves are generated in the process of interaction between two solitons.

Keywords

• Boussinesq-Kadomtsev-Petviashvili equation
• variable separation approach
• soliton excitations