EXACT TRAVELING-WAVE SOLUTION OF ONE CLASS OF NONLINEAR DIFFUSION-EQUATIONS

被引：42
|
作者：
LU, BQ
XIU, BZ
PANG, ZL
JIANG, XF
机构：
[1] Department of Mathematics, Zhejiang University, Hangzhou
来源：
PHYSICS LETTERS A | 1993年 / 175卷 / 02期
关键词：
D O I：
10.1016/0375-9601(93)90131-I
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We obtain exact traveling wave solutions of one class of nonlinear diffusion equations by using special transformations. These equations include u(t) = betau(p) + ru(q) + D(u(m)u(x))x, the Newell-Whitehead equation, the generalized Burger-Fisher equation u(t) = u(xx) + (m/u)u(x)2 - alphau(delta)u(x) + betau(1 - u(delta)) and the generalized Burger-Huxley equation u(t) = u(xx) + (m/u)u(x)2 - alphau(delta)u(x) + betau(1 - u(delta))(u(delta) - r).
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页码：113 / 115
页数：3
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