Soliton Solutions of the Klein-Gordon-Zakharov Equation with Power Law Nonlinearity

Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity

This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1 + 1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper.The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solut...

Analytical Soliton Solutions Modeling of Nonlinear Schrödinger Equation with the Dual Power Law Nonlinearity  

Introduction In this study, we use a newly proposed method based on the software structure of the maple, called the Khaters method, and will be introducing exponential, hyperbolic, and trigonometric solutions for one of the Schrödinger equations, called the nonlinear Schrödinger equation with the dual power law nonlinearity. Given the widespread use of the Schrödinger equation in physics and e...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity

There are several nonlinear evolution equations (NLEEs) that appears in various areas of applied mathematics and theoretical physics [1–13]. These NLEEs are a key to the understanding of various physical phenomena that governs the world today. Some of these commonly studied NLEEs are the nonlinear Schrödinger’s equation (NLSE), Korteweg– de Vries (KdV) equation, sine–Gordon equation (SGE), just...

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.