The Open Cybernetics & Systemics Journal

2014, 8 : 1293-1298
Published online 2014 December 31. DOI: 10.2174/1874110X01408011293
Publisher ID: TOCSJ-8-1293

Blow-up and Extinction Phenomenon for the Generalized Burgers Equation

Chen Ning , Tian Baodan and Chen Jiqian
School of Science, Southwest University of Science and Technology, Mianyang, 621010, China.

ABSTRACT

In this paper, the author consider conditions of that initial boundary value to study the dynamic behavior for Generalized Burgers equation, and give these system for that new conditions of blow-up, and Extinction Phenomenon of these equation with in rich using engineering. Such as, these theories and method can be used in other similar systems, they have a wide range of applications. Finale, some numerical simulations are carried out to support these new results. The authors extend dynamic behavior and the critical value to continuum more previous work [3, 9, 13] for in-depth achieve for apply value.

Keywords:

Blow-up and extinction, boundary value problems, generalized burgers equation, nonlinear source.