Lump and interaction solutions for a (2 + 1)-dimensional combined pKP-BKP equation in fluids

Abstract

In this paper, a number of exact solutions of (2 + 1)-dimensional combined pKP-BKP equation are given. By taking into account the Hirota bilinear method and making use of quadratic function, a number of lump solutions are obtained. Combining quadratic function with exponential function, the interaction phenomenon between lump and soliton, and the lump-soliton solutions are obtained. When the trigonometric function is combined with the exponential function, the breather wave solutions are obtained. Finally, by picking appropriate parameter values, the dynamic properties of these exact solutions are presented by three-dimensional, density and contour plots.