Approximate functional variable separation for the porous medium equation with perturbed nonlinear source

作者：Ji Fei Yu^*; Zhang Shun Li

来源：Acta Physica Sinica, 2012, 61(8): 080202.

• porous medium equation
• approximate generalized conditional symmetry
• approximate functional variable separation approach

The approximate functional variable separation for the porous medium equation with perturbed nonlinear source is studied. Complete classification of the perturbed equation which admits approximate functional separable solutions is obtained. The main solving procedure for the approximate functional variable separation approach is shown by way of examples, and the corresponding approximate functional separable solutions to the resulting equations are then constructed.

• 出版日期2012-4
• 单位西北大学