Traveling wave solution of fractional KdV-Burger-Kuramoto equation describing nonlinear physical phenomena

In this paper, KdV-Burger-Kuramoto equation involving instability, dissipation, and dispersion parameters is solved numerically. The numerical solution for the fractional order KdV-Burger-Kuramoto (KBK) equation has been presented using two-dimensional Legendre wavelet method. The approximate soluti...

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Bibliographic Details
Main Authors: A. K. Gupta, S. Saha Ray
Format: Article
Language:English
Published: AIP Publishing LLC 2014-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4895910
Description
Summary:In this paper, KdV-Burger-Kuramoto equation involving instability, dissipation, and dispersion parameters is solved numerically. The numerical solution for the fractional order KdV-Burger-Kuramoto (KBK) equation has been presented using two-dimensional Legendre wavelet method. The approximate solutions of nonlinear fractional KBK equation thus obtained by Legendre wavelet method are compared with the exact solutions. The present scheme is very simple, effective and convenient for obtaining numerical solution of the KBK equation.
ISSN:2158-3226