New exact solutions of one nonlinear equation in mathematical biology and their properties

被引：0

作者：

Cherniha R.M. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2001年 / 53卷 / 10期

关键词：

Exact Solution; Numerical Calculation; Generate Condition; Nonlinear Equation; Mathematical Biology;

D O I：

10.1023/A:1015252112419

中图分类号：

学科分类号：

摘要：

The classical Lie approach and the method of additional generating conditions are applied to constructing multiparameter families of exact solutions of the generalized Fisher equation, which is a simplification of the known coupled reaction-diffusion system describing spatial segregation of interacting species. The exact solutions are applied to solving nonlinear boundary-value problems with zero Neumann conditions. A comparison of the analytic results and the corresponding numerical calculations shows the importance of the exact solutions obtained for the solution of the generalized Fisher equation. © 2001 Plenum Publishing Corporation.

引用

页码：1712 / 1727

页数：15

共 25 条

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