Conditional Lie Backlund Symmetries of Hamilton-Jacobi Equations

作     者：王丽真 勾明 屈长征 

作者机构：Center for Nonlinear Studies Northwest University Xi'an 710069 Department of Mathematics Northwest University Xi'an 710069 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2007年第24卷第12期

页      面：3293-3296页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10671156  and the Programme for New Century Excellent Talents in University (NCET-04-0968) 

主　　题：Conditional Lie Backlund Symmetries Hamilton-Jacobi Equations 

摘      要：The conditional Lie Bgcklund symmetry method, as a generalization of the conditional symmetry and Lie Bgcklund symmetry methods, is developed to study the Hamilton-Jacobi equations. It is shown that the equation ut = ux^n＋1 4- B（u）ux 4- C（u） admits a class of conditional Lie Bgcklund symmetry for certain functions B（u） and C（u）. As a result, a complete description of structure of solutions to the resulting equations associated to the conditional Lie Backlund symmetry is performed.