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

被引：435
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.
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页码：329 / 338
页数：10
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