Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation

被引：444

作者：

Ma, WX ^{[1
]}

Fuchssteiner, B ^{[1
]}

机构：

[1] UNIV GESAMTHSCH PADERBORN, D-33098 PADERBORN, GERMANY

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1996年 / 31卷 / 03期

关键词：

D O I：

10.1016/0020-7462(95)00064-X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Some explicit traveling wave solutions to a Kolmogorov-Petrovskii-Piskunov equation are presented through two ansatze. By a Cole-Hopf transformation, this Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear equation and two solutions to describe non-linear interaction of traveling waves are further generated. Backlund transformations of the linear form and some special cases are considered. (C) 1996 Elsevier Science Ltd.

引用

页码：329 / 338

页数：10