文章基本信息

标题：A geometric approach for solving the density-dependent diffusion Nagumo equation
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作者：Mir Sajjad Hashemi ; Elham Darvishi ; Dumitru Baleanu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：89
DOI：10.1186/s13662-016-0818-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, some solutions of the density-dependent diffusion Nagumo equation are obtained by using a new approach, the Lie symmetry group-preserving scheme (LSGPS). The effects of various model parameters on the solution are investigated graphically using LSGPS. Finally, a different reduction method of PDEs is applied to construct two new analytical solutions and a first integral of the Nagumo equation.
关键词：group-preserving scheme ; Minkowski space ; reduction method