Mixed lump–kink solutions and lump–soliton solutions to the generalized BKP equation with some second order terms

Abstract

A generalized (2+1)-dimensional BKP equation with more second order nonlinear terms is studied. The different types of lump–kink solutions and lump–soliton solutions are constructed by using a combination of Hirota’s bilinear method and Maple symbolic computations. By assuming the solution of Hirota’s bilinear equation has a linear combination of quadratic function and exponential function, we have eight classes of lump–kink solutions and four classes of lump–soliton solutions. Two illustrative examples of these mixed solutions are studied and their dynamics are analyzed.

Keywords

• BKP equation
• Lump–kink solution
• Lump–soliton solution
• Hirota’s bilinear method
• Symbolic computation