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

作者：Osman, M. S.^*; Wazwaz, Abdul-Majid

来源：Applied Mathematics and Computation, 2018, 321: 282-289.

DOI：10.1016/j.amc.2017.10.042

• The generalized unified method
• Variable coefficients
• Multi-soliton rational solutions
• The (2+1)-dimensional Korteweg-de Vries equation

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.

• 出版日期2018-3-15