A geometric approach for solving the density-dependent diffusion Nagumo equation

作者：Hashemi Mir Sajjad^*; Darvishi Elham; Baleanu Dumitru

来源：Advances in Difference Equations, 2016, 2016(1): 89.

DOI：10.1186/s13662-016-0818-2

• group-preserving scheme
• Minkowski space
• reduction method

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.

• 出版日期2016-3-31