Separation of variables and exact solutions to nonlinear diffusion equations with x-dependent convection and absorption ✩
作者： Huabing Jia , Wei Xu , Xiaoshan Zhao , Zhanguo Li
DOI: 10.1016/J.JMAA.2007.07.063
关键词: Diffusion equation 、 Separable space 、 Convection 、 Absorption (logic) 、 Mathematics 、 Nonlinear diffusion 、 Separation of variables 、 Exact solutions in general relativity 、 Simultaneous equations 、 Mathematical analysis
摘要: Abstract This paper considers nonlinear diffusion equations with x-dependent convection and source terms: u t = ( D ) x + Q , P . The functional separation of variables the is studied by using generalized conditional symmetry approach. We formulate conditions for such which admit functionally separable solutions. As a consequence, some exact solutions to resulting are constructed. Finally, we consider special case when terms independent x.
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