An effective method in modeling the new soliton solutions for nonlinear Radhakrishnan-Kundu-Lakshmanan equation

Abstract

In this paper, we consider a generalized form of nonlinear Radhakrishnan-Kundu-Lakshmanan equation. The generalized exponential rational function method has been used to obtain some novel exact optical solutions. Several numerical simulations are provided to show the behavior of the exact results. The solutions might be very useful in their corresponding models. It is apparent that the employed method is easy to use but quite efficient for the extraction of solutions of the problem. Moreover, it is applicable for solving other nonlinear problems arising in mathematics, physics and other branches of engineering. All computations and numerical simulations are carried out with Mathematica software. ./files/site1/files/%DA%86%DA%A9%DB%8C%D8%AF%D9%87_%D9%82%D9%86%D8%A8%D8%B1%DB%8C.pdf

Keywords

• pdes
• the nonlinear radhakrishnan-kundu-lakshmanan equation
• generalized exponential rational function method
• symbolic computations
• soliton wave solutions