Examination of dark and bright solitons of (2+1)-dimensional Kundu-Mukherjee-Naskar equation via unified solver technique

Abstract

In this study, dark and bright solitons of the (2+1)-dimensional Kundu-Mukherjee-Naskar equation are constructed with unified solver in terms of He's variations method. In accordance with basic properties of proposed technique, some dark and bright solitons are obtained. Moreover, giving specific values to the achieved solutions, 2D and 3D graphics are plotted with the help of software package.The unified solver technique extract vital solutions in explicit way. It is an easy-to-use method applied to obtain various exact solutions of nonlinear partial differential equations arising in fluid mechanics, nuclear, plasma and particle physics.