Some Explicit Wave Solutions of Nonlinear Evolution Equations.

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Bibliographic Details
Title:	Some Explicit Wave Solutions of Nonlinear Evolution Equations.
Authors:	VIRDI, JASVINDER SINGH¹ jpsvirdi@gmail.com
Source:	Nonlinear Optics, Quantum Optics: Concepts in Modern Optics. 2026, Vol. 63 Issue 3/4, p227-242. 16p.
Subjects:	Nonlinear evolution equations, Solitons, Series expansion (Mathematics), Data visualization, Korteweg-de Vries equation, Reaction-diffusion equations
Abstract:	This article aims to study some explicit solitary wave solutions of some nonlinear physical equations by using an unusual series expansion method. A powerful tool for families of solutions delivers a wide range of precise visualizable solutions with clarity than classical methods. Three nonlinear models of importance i.e. Coupled Nonlinear extension of Reaction Diffusion equation (CNERDE), Coupled KdV-Schrodinger equation (CKdV-SE), and Dodd-Bullough-Mikhailov equation (DBME) were considered. Interesting findouts of NLEEs are categorised a into a families of solutions of different nature. This breakthrough allows us to uncover diverse wave structures including multi solitons, kink & Anti kint. We brought the mathematics with 3D plots and contour maps, showing how different parameters shape these wave patterns using Matlab. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	This article aims to study some explicit solitary wave solutions of some nonlinear physical equations by using an unusual series expansion method. A powerful tool for families of solutions delivers a wide range of precise visualizable solutions with clarity than classical methods. Three nonlinear models of importance i.e. Coupled Nonlinear extension of Reaction Diffusion equation (CNERDE), Coupled KdV-Schrodinger equation (CKdV-SE), and Dodd-Bullough-Mikhailov equation (DBME) were considered. Interesting findouts of NLEEs are categorised a into a families of solutions of different nature. This breakthrough allows us to uncover diverse wave structures including multi solitons, kink & Anti kint. We brought the mathematics with 3D plots and contour maps, showing how different parameters shape these wave patterns using Matlab. [ABSTRACT FROM AUTHOR]
ISSN:	15430537