一个三阶非线性发展方程的古典(点)对称及应用  

Classical (Point) Symmetry of a Three-order Non-linear Evolution Equation and Its Application

作　　者：康周正[1] 任文秀[1] 韩文梅[1] 

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《海南大学学报（自然科学版）》2010年第2期113-116,共4页Natural Science Journal of Hainan University

基　　金：内蒙古自然科学基金项目(20080404MS0106);内蒙古工业大学校重点基金项目(ZD200813)

摘　　要：利用古典(点)对称的方法对一个三阶非线性发展方程进行计算,给出其所允许点变换的无穷小向量场,并利用其获得换位子表、相应的点对称群、经典坐标及Lie-Backlund变换.In the paper, a three-order non-linear evolution equation was calculated by means of the method of classical （point） symmetry, and the infinitesimal vector field in which point transformations are admitted was proposed. Then, the commutator table, point symmetry group, canonical coordinates and its Lie-Backlund transformation were also obtained.

关 键 词：非线性发展方程 古典(点)对称 经典坐标 Lie-Backlund变换 

分 类 号：O175[理学—数学]