| 关于Burgers-Fisher方程平衡解的分岔问题(英文) |
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| 引用本文： | 钟吉玉,李晓培.关于Burgers-Fisher方程平衡解的分岔问题(英文)[J].大学数学,2010,26(3). |
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| 作者姓名： | 钟吉玉 李晓培 |
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| 作者单位： | 湛江师范学院,数学学院,广东,湛江,524048 |
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| 摘 要： | 当参数λ在临界值λk=k2(k=1,2,…)附近且小于它时,利用Liapunov-Schmidt方法在奇函数空间H1中得到了两个严格的非平凡定态解,在整个空间H1中得到了一个分岔圆.
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| 关 键 词： | 分岔解 定态解 Liapunov-Schmidt方法 |
On the Bifurcation of Equilibrium Solution to Burgers-Fisher Equation |
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| ZHONG Ji-yu,LI Xiao-pei.On the Bifurcation of Equilibrium Solution to Burgers-Fisher Equation[J].College Mathematics,2010,26(3). |
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| Authors: | ZHONG Ji-yu LI Xiao-pei |
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| Abstract: | We deal with the bifurcation of equilibrium solution to Burgers-Fisher equation by Liapunov-Schmidt method when the parameter λ is nontrivial steady state solutions are obtained in odd function space H1. A bifurcated circle is found in space 1. |
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| Keywords: | bifurcated solution steady state solution Liapunov-Schmidt method |
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