BOUNDED TRAVELING WAVES OF THE GENERALIZED BURGERS–FISHER EQUATION-Reference-Cited by-同舟云学术

BOUNDED TRAVELING WAVES OF THE GENERALIZED BURGERS–FISHER EQUATION

Published:2013-03 Issue:03 Volume:23 Page:1350054
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ZHOU YUQIAN¹,LIU QIAN²,ZHANG WEINIAN³

Affiliation:

1. School of Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan 610225, P. R. China

2. School of Computer Science Technology, Southwest University for Nationalities, Chengdu, Sichuan 610041, P. R. China

3. School of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China

Abstract

In this paper, bounded traveling waves of a generalized Burgers–Fisher equation are investigated. By studying some complicated local and nonlocal bifurcations such as the Hopf bifurcation, homoclinic bifurcation, heteroclinic bifurcation and Poincaré bifurcation of the corresponding traveling wave system, we obtain sufficient conditions to guarantee the existence of different kinds of bounded traveling waves, including solitary waves, kink waves and periodic waves. Further, we discuss the existence of various oscillatory bounded traveling waves.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413500545

Reference17 articles.

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