Application of the Multiple Exp-Function method for solving coupled KDV equations

In recent years, one of the most important subjects in physics and mathematics is obtaining the exact solutions to nonlinear coupled differential equations. Multiple soliton solutions are a wide range of solutions for nonlinear coupled differential equations. The multiple exp-function methods is a commonly used tool for obtaining multiple wave solutions of nonlinear partial differential equations. The multiple exp-function method has been generalized to solve a system of the partial differential equations in this article for the first time. The soliton solutions of the coupled KDV equations have been acquired as an example by using this method on Maple Software Structure. Moreover, the plots of obtained solutions have been illustrated for some parameters.

کلیدواژه ها:

Multiple exp-function method ، Exact solution ، Coupled KDV equation ، One-Wave Solution ، Two-Wave Solution ، Three- Wave Solution