Fokker-Planck方程的非古典广义势对称及精确解  

NONCLASSICAL GENERAL POTENTIAL SYMMETRIES AND EXACT SOLUTIONS OF FOKKER-PLANCK EQUATION

作　　者：郭华[1] 郑丽霞[1] 白银[1] 李莹莹 

机构地区：[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

出　　处：《动力学与控制学报》2010年第2期109-113,共5页Journal of Dynamics and Control

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.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.

关 键 词：FOKKER-PLANCK方程 非古典广义势对称 广义势系统 精确解 

分 类 号：O411[理学—理论物理]