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Fokker Planck方程的非古典广义势对称及精确解
引用本文:郭华,郑丽霞,白银,李莹莹.Fokker Planck方程的非古典广义势对称及精确解[J].动力学与控制学报,2010,8(2):109-113.
作者姓名:郭华  郑丽霞  白银  李莹莹
作者单位:1. 内蒙古工业大学理学院,呼和浩特,010051
2. 夹皮希望学校,通化,134001
摘    要:分析了Fokker-Planck方程的非古典势对称,通过广义势系统而不是一般势系统求得了这些非古典势对称.文中得到了这些方程的新的对称,同时也得到了伴随系统的新的对称,并用其求出了一些精确解.这些解对进一步研究Fokker-Planck方程所描述的物理现象具有广泛的应用价值.

关 键 词:Fokker-Planck方程  非古典广义势对称  广义势系统  精确解
收稿时间:2009/6/15 0:00:00

Nonclassical general potential symmetries and exact solutions of Fokker Planck equation
Guo Hu,Zheng Lixi,Bai Yin and Li Yingying.Nonclassical general potential symmetries and exact solutions of Fokker Planck equation[J].Journal of Dynamics and Control,2010,8(2):109-113.
Authors:Guo Hu  Zheng Lixi  Bai Yin and Li Yingying
Affiliation:Guo Hua Zheng Lixia Bai Yin Li Yingying (1.College of science,Inner Mongolia University of Technology,Hohhot 010051,China) (2.Jia pi Hope School,Tonghua134001,China)
Abstract:This paper analyzed the nonclassical potential symmetries Fokker-Planck equation.And these nonclassical potential symmetries were determined by considering a generalized potential system rather than the natural potential system.The new symmetries of these given PDEs and auxiliary potential systems were obtained.Furthermore,the corresponding exact solutions can be obtained by using the above symmetries.The solutions have extensive application value for further researching the physical phenomena described by Fokker-Planck equation.
Keywords:Fokker-Planck equation  nonclassical general potential symmetries  general potential system  exact solutions
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