Open AccessTraveling wave solution of fractional KdV-Burger-Kuramoto equation describing nonlinear physical phenomena
Author(s) -
A. K. Gupta,
S. Saha Ray
Publication year - 2014
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4895910
Subject(s) - korteweg–de vries equation , legendre polynomials , mathematics , nonlinear system , mathematical analysis , burgers' equation , partial differential equation , physics , quantum mechanics
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