Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation

Abstract

In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended (G′/G)-expansion method, first integral method and complete discrimination system for the polynomial method, respectively. The solutions we obtained mainly include hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. Moreover, we draw its three-dimensional graph.

Keywords

• time-fractional perturbed radhakrishnan-kundu-lakshmanan equation
• extended (g′/g)-expansion method
• first integral method
• complete discrimination system
• conformable fractional derivative