An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients

摘要

Herein, we present an efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional Korteweg–de Vries equation with time-dependent coefficients. We employ the generalized unified method, which presents a wider applicability for handling many other nonlinear evolution equations in different branches of science, to find these solutions. The dynamical behavior of the traveling wave solutions and their structures are discussed by different choices for the arbitrary functions in the obtained solutions.