Breather wave solutions for the Kadomtsev-Petviashvili equation with variable coefficients in a fluid based on the variable-coefficient three-wave approach

摘要

Herein, the Kadomtsev-Petviashvili equation with variable coefficients is investigated, which describes the long waves with small amplitude and slow dependence on the transverse coordinate in a single-layer shallow fluid. Breather wave solutions are obtained based on a variable-coefficient three-wave approach. The dynamical behaviors of the obtained solutions are graphically discussed for different choices of the free parameters in these solutions.