The nonlinear Riemann wave equations (RWEs) and the Landau-Ginsburg-Higgs (LGH)
equation are related to plasma electrostatic waves, ion-cyclotron wave electrostatic …

In this article, we construct abundant exact traveling wave solutions involving free
parameters to the generalized Bretherton equation via the improved (G'/G)-expansion …

In this article, we investigated the Landau–Ginzburg–Higgs (LGH) equation, focusing on the
analysis of isolated soliton solutions and their stability. To compute the isolated soliton …

In this Letter, the Exp-function method with the aid of Maple is used to obtain generalized
soliton solution and periodic solution with some free parameters for the Symmetric …

The modification of the expansion method, namely, the New Modified Simple Equation
Method is presented and subsequently implemented on nonlinear partial differential …

In this work, we established abundant travelling wave solutions for some nonlinear evolution
equations. This method was used to construct travelling wave solutions of nonlinear …

We search for exact travelling wave solutions of the generalized Bretherton equation for
integer, greater than one, values of the exponent m of the nonlinear term by two methods …

The purpose of the present paper is to introduce a new computational algebraic procedure
that can easily be applied to derive class of solutions of non-linear partial differential …

This paper studies the Generalized Bretherton equation using trigonometric function method
including the sech-function method, the sine-cosine function method, and the tanh-function …

To investigate if steady-state resonant solution exist for any system of weakly interacting
waves in a dispersive medium, a trio is considered in the Bretherton equation based on the …