New Path of Popularized Homogeneous Balance Method and Travelling Wave Solutions of a Nonlinear Klein-Gordon Equation

Authors

  • Israa A. Ibrahim General Directorate of Kirkuk Province Education, Ministry of Education, Kirkuk, Iraq
  • Raad A. Hameed Department of Mathematics, College of Education for Pure Science, Tikrit University, Tikrit, Iraq https://orcid.org/0000-0001-9500-8563
  • Wafaa M. Taha Department of Mathematics, College of Science, University of Kirkuk, Kirkuk, Iraq
  • Maan A. Rasheed Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.6.31

Keywords:

Klein–Gorden equation, Traveling wave, Homogeneous balance method, NLEEs

Abstract

        The aim of this paper is to obtain a set of traveling wave solutions for klein –Gorden equation with kerr law non-linearity. More precisely, we apply a new path of popularized homogeneous balance (HB) method in terms of using linear auxiliary equations to find the results of non-linear klein-Gorden equation, which is a fundamental approach to determine competent solutions. The solutions are achieved as the integration of exponential, hyperbolic, trigonometric and rational functions. Besides, some of the solutions are demonstrated by the3D graphics.

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Published

2022-06-30

Issue

Vol 63 No 6 (2022)

Section

Mathematics

How to Cite

New Path of Popularized Homogeneous Balance Method and Travelling Wave Solutions of a Nonlinear Klein-Gordon Equation. (2022). Iraqi Journal of Science, 63(6), 2656-2666. https://doi.org/10.24996/ijs.2022.63.6.31
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