Abundant soliton solutions for Radhakrishnan–Kundu–Laksmanan equation with Kerr law non-linearity by improved tan[formula omitted]-expansion technique

Abstract

This paper reports numerous soliton solutions of Radhakrishnan–Kundu–Laksmanan (RKL) equation. Traveling wave solutions of four types are obtained including; hyperbolic, trigonometric, rational and exponential solutions. Exact soliton solutions of the RKL equation are acquired by implementing improved tanΦ(ξ)2-expansion technique. Graphical illustrations of obtained solutions are presented for better insight into the physical behavior of related physical phenomena.