TRAVELING WAVE SOLUTIONS FOR NONLINEAR WAVE EQUATION WITH DISSIPATION AND NONLINEAR TRANSPORT TERM THROUGH FACTORIZATIONS-Reference-Cited by-同舟云学术

TRAVELING WAVE SOLUTIONS FOR NONLINEAR WAVE EQUATION WITH DISSIPATION AND NONLINEAR TRANSPORT TERM THROUGH FACTORIZATIONS

Published:2007-12 Issue:04 Volume:04 Page:645-651
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

ABDUSALAM H. A.¹²,FAHMY E. S.³

Affiliation:

1. Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt

2. Mathematics Department, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Kingdom of Saudi Arabia

3. King Saud University, Women Students Medical Studies & Sciences Sections, Mathematics Department, P. O. Box 22452, Riyadh 11495, Saudi Arabia

Abstract

In this work, we use the factorization method to find explicit exact particular traveling wave solutions for the nonlinear wave equation with dissipation and nonlinear transport term. The two-parameter solution is obtained by using the particular solution and the known solutions for the Newell–Whitehead equation, Kolmogorov–Petrovsky–Piscounov equation, Fitzhugh–Nagumo equation, and the Burgers equation with cubic nonlinearity obtained as special cases from the solutions of the nonlinear wave equation with dissipation and nonlinear term.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876207001321

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