Travelling Wave Profiles of (2+1)-dimensional Perturbed and Higher Order cubic-quintic Nonlinear Schrödinger Equations

Abstract

In this thesis, a detailed study of traveling wave solutions of some higher order nonlinear Schrödinger equations (NLSEs) are discussed. Among these NLSEs, the (2+1)- perturbed nonlinear Schrödinger equation (P-NLSE) in nonlinear fiber optics and higher order cubic-quintic nonlinear Schrödinger equation (CQ-NLSE) are examined. In nonlinear wave motion, a main and recent progress is the discovery of different methods for the solutions of such kind of nonlinear equations. This work motivates the fruitful implementation of three analytical methods, such as tanh-coth, Kudryashov’s and sine-cosine methods. These are used to investigate the solitary wave solutions of higher order NLSEs that arise in mathematical physics in a useful and advanced way. We have retrieved trigonometric, hyperbolic, rational and singular solutions. The constraint conditions fall out as an additional product that agree with the existence of the solutions.