Author:
Ji Fei-Yu ,Zhang Shun-Li ,
Abstract
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.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference22 articles.
1. Olver P J 1993 Applications of Lie Groups to Differential Equations (New York: Springer) p75
2. Qian X M, Lou S Y 1996 Acta Phys. Sin. 45 721 (in Chinese) [钱贤民, 楼森岳 1996 物理学报 45 721]
3. Gu S L, Zhang H B 2006 Acta Phys. Sin. 55 5594 (in Chinese) [顾书龙, 张宏斌 2006 物理学报 55 5594]
4. Jia L Q, Cui J C, Zhang Y Y, Luo S K 2009 Acta Phys. Sin. 58 16 (in Chinese) [贾利群, 崔金超, 张耀宇, 罗绍凯 2009 物理学报 58 16]
5. Kalnins E G, Miller W 1985 J. Math. Phys. 26 2168
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献