Conditional Symmetry Groups of Nonlinear Diffusion Equations with x-Dependent Convection and Absorption |
| |
Authors: | QU Chang-Zheng and ZHANG Shun-Li |
| |
Institution: | Department of Mathematics, Northwest University, Xi'an
710069, China |
| |
Abstract: | The generalized
conditional symmetry and sign-invariant approaches are developed
to study the nonlinear diffusion equations with x-dependent
convection and source terms. We obtain conditions under which the
equations admit the second-order generalized conditional
symmetries and the first-order sign-invariants on the solutions.
Several types of different generalized conditional symmetries and
first-order sign-invariants for the equations with diffusion of
power law are obtained. Exact
solutions to the resulting equations are constructed. |
| |
Keywords: | symmetry group sign-invariant nonlinear diffusion equation exact solution |
本文献已被 万方数据 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |