New Travelling Wave Solutions of Two Nonlinear Physical Models by Using a Modified Tanh-Coth Method

In this work, a modified tanh – coth method is used to derive travelling wave solutions for (2 + 1)-dimensional Zakharov-Kuznetsov (ZK) equation and (3 + 1)-dimensional Burgers equation. A new variable is used to solve these equations and established new travelling wave solutions. </jats:p

Meromorphic solutions of nonlinear ordinary differential equations

Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for finding exact solutions. We show that most of these methods are conceptually identical to one another and they allow us to have only the same solutions of nonlinear ordinary differential equations

Exact Travelling Wave Solutions of Zakharov-Kuznetsov(ZK) Equation by the First Integral Method

The first integral method is an efficient method for obtaining exact solutions of nonlinear partial differential equations. The aim of this letter is to find exact solutions of the Zakharov-Kuznetsov(ZK) equation by the first integral method.Key words: First integral method; Exact solution; ZK equatio

Stability Analysis for Some Nonlinear Fifth-Order Equations

The main purpose of this work is to obtain many travelling wave solutions for general KaupKuperschmidt (KK), general Lax, general Sawada-Kotera (SK) and general Ito equations with the aid of symbolic computation by employing the extended direct algebraic method. The stability of these solutions and wave motion have been analyzed by illustrative plots

The Improved Riccati Equation Method and Exact Solutions to mZK Equation

We utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics

New extended generalized Kudryashov method for solving three nonlinear partial differential equations

New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger equation with anti-cubic nonlinearity, the (2+1)-dimensional Davey–Sterwatson (DS) equation and the (3+1)-dimensional modified Zakharov–Kuznetsov (mZK) equation of ion-acoustic waves in a magnetized plasma have been presented. Comparing our new results with the well-known results are given. Our results in this article emphasize that the used method gives a vast applicability for handling other nonlinear partial differential equations in mathematical physics