Diverse Variety of Exact Solutions for Nonlinear Gilson–Pickering Equation

Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow

exact and numerical solutions for nonlinear differential equation of jeffrey-hamel flow

Direct search for exact solutions to the nonlinear Schrödinger equation

A five-dimensional symmetry algebra consisting of Lie point symmetries is firstly computed for the nonlinear Schrödinger equation, which, together with a reflection invariance, generates two five-parameter solution groups. Three ansätze of transformations are secondly analyzed and used to construct exact solutions to the nonlinear Schrödinger equation. Various examples of exact solutions with c...

New Exact Solutions for New Model Nonlinear Partial Differential Equation

In this paper we propose a new form of Padé-II equation, namely, a combined Padé-II andmodified Padé-II equation.Themapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined PadéII and modified Padé-II equation. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, r...

Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

In recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. One such method is known as the new extended (G'/G)-expansion method and was proposed by Roshid et al. In this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (NLPDEs), namely the Benjamin-Ono equation. It is est...