Approximate Functional Variable Separation for the Quasi-Linear Diffusion Equations with Weak Source

作者：Ji, Fei-Yu^*

来源：Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2013, 68(5): 391-397.

DOI：10.5560/ZNA.2013-0007

• Quasi-Linear Diffusion Equation
• Approximate Functional Separable Solution
• Approximate Generalized Conditional Symmetry

As an extension to the functional variable separation approach, the approximate functional variable separation approach is proposed, and it is applied to study the quasi-linear diffusion equations with weak source. A complete classification of these perturbed equations which admit approximate functional separable solutions is obtained. As a result, the corresponding approximate functional separable solutions to the resulting perturbed equations are derived via examples.

• 出版日期2013-5
• 单位西安建筑科技大学