Multi-waves, breather wave and lump-stripe interaction solutions in a (2+1)-dimensional variable-coefficient Korteweg-de Vries equation

Under investigation is a (2+1)-dimensional variable-coefficient Korteweg-de Vries equation, which is used to describe the electrostatic wave potential in plasmas or shallow-water waves in fluids. Our work is mainly divided into three aspects: (1) lump-stripe interaction solutions are obtained by the Hirota's bilinear form with variable coefficients; (2) multi-waves solutions are presented based on three waves method with variable coefficients; (3) breather wave solutions are given by the homoclinic breather approach. Furthermore, interaction phenomenon of these obtained solutions are demonstrated by some 3D- and contour plots.