|
|
|
| Nonclassical symmetries and compatibility of two-dimensional heat equation |
1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Department of Computational Science, Huaiyin Institute of Technology, Huai＇an, Jiangsu 223001, China）
|
|
|
|
|
Abstract The determining equations for the nonclassical symmetries of the two-dimensional heat equation are studied. A simple partial differential equation is quoted. It is concluded that the nonclassical symmetries of the nonlinear partial differential equations can be derived by using the compatibility between the original equation and the invariant surface condition. Finally, the conclusion is used to discuss the two-dimensional heat equation.
|
|
|
|
|
|
|
|
|
2008, Vol. 29 
