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Some Explicit Wave Solutions of Nonlinear Evolution Equations
Jasvinder Singh Virdi
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
Keywords: Solitons, multi solitons, kink & Anti kint.
PACS No: 42.81.Dp; 03.65.Ge; 42.65.Tg.