Breather, lump and N-soliton wave solutions of the (2+l)-dimensional coupled nonlinear partial differential equation with variable coefficients

摘要

In this paper, we mainly investigate a (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients in an inhomogeneous medium. Based on the Hirota bilinear form and symbolic computation, the breather wave solutions and lump solutions are constructed by using the extended homoclinic breather technique and the generalized positive quadratic function method. Also, Hirota bilinear method is applied to considered equation for finding N-soliton wave solutions. When the coefficients of the equation are different, the corresponding improved results are obtained for some special equations. Furthermore, by plotting the images of different types of solutions, their dynamic behaviors are analyzed. (C) 2021 Elsevier B.V. All rights reserved.