Conditional Lie Backlund Symmetries of Hamilton-Jacobi Equations  

作　　者：王丽真 勾明 屈长征 

机构地区：[1]Center for Nonlinear Studies, Northwest University, Xi'an 710069 [2]Department of Mathematics, Northwest University, Xi'an 710069

出　　处：《Chinese Physics Letters》2007年第12期3293-3296,共4页中国物理快报（英文版）

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）.

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.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.

分 类 号：O17[理学—数学]