Solution and transcritical bifurcation of Burgers equation |
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| Authors: | Tang Jia-Shi Zhao Ming-Hu Han Feng and Zhang Liang |
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| Affiliation: | College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China; College of Civil Engineering, Hunan University, Changsha 410082, China |
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| 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. |
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| Keywords: | Burgers equation transcritical bifurcation exact solution bifurcation control |
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