THE NONCLASSICAL METHOD IS MORE GENERAL THAN THE DIRECT METHOD FOR SYMMETRY REDUCTIONS - AN EXAMPLE OF THE FITZHUGH-NAGUMO EQUATION

被引：189

作者：

NUCCI, MC ^{[1
]}

CLARKSON, PA ^{[1
]}

机构：

[1] UNIV EXETER,DEPT MATH,EXETER EX4 4QE,ENGLAND

来源：

PHYSICS LETTERS A | 1992年 / 164卷 / 01期

关键词：

D O I：

10.1016/0375-9601(92)90904-Z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper it is shown that there exist exact solutions of the Fitzhugh-Nagumo equation which can be obtained using the nonclassical method for determining symmetry reductions of partial differential equations developed by Bluman and Cole [J. Math. Mech. 18 (1969) 1025], but which are not obtained using the direct method as developed by Clarkson and Kruskal [J. Math. Phys. 30 (1989) 2201].

引用

页码：49 / 56

页数：8

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