Stability Analysis and Assortment of Exact Traveling Wave Solutions for the (2+1)-Dimensional Boiti-Leon-Pempinelli System

Alobaidi, Mizal H.; Taha, Wafaa M.; Hazza, Ali H.; Oguntunde, Pelumi E.

doi:10.24996/ijs.2021.62.7.29

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2022

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“…Nonlinear evolution equations (NLEEs) have been used extensively to describe many physical, biology, chemistry, plasma physics, optical fibres and solid-state phenomenon that occur naturally or unnaturally, so they have been studied by many authors, see for instance [1][2][3][4][5]. Studying travelling waves is a key point to understanding the mechanism of any physical problem described by nonlinear evolution.…”

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confidence: 99%

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

Ibrahim

Hameed

Taha

et al. 2022

eijs

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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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