Solution and transcritical bifurcation of Burgers equation

doi:10.1088/1674-1056/20/2/020504

Abstract Burgers equation is reduced into a first-order ordinary differential equation by using travelling wave transformation and it has typical bifurcation characteristics. We can obtain many exact solutions of the Burgers equation, discuss its transcritical bifurcation and control dynamical behaviours by extending the stable region. The transcritical bifurcation exists in the (2+1)-dimensional Burgers equation.

Keywords: Burgers equation transcritical bifurcation exact solution bifurcation control

Received: 15 September 2010
Revised: 11 October 2010
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Cite this article:

Tang Jia-Shi(唐驾时), Zhao Ming-Hua(赵明华), Han Feng(韩峰), and Zhang Liang(张良) Solution and transcritical bifurcation of Burgers equation 2011 Chin. Phys. B 20 020504

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