EXACT TRAVELING-WAVE SOLUTIONS TO NONLINEAR DIFFUSION AND WAVE-EQUATIONS

被引：8

作者：

YANG, ZJ ^{[1
]}

DUNLAP, RA ^{[1
]}

GELDART, DJW ^{[1
]}

机构：

[1] DALHOUSIE UNIV,DEPT PHYS,HALIFAX,NS B3H 3J5,CANADA

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1994年 / 33卷 / 10期

关键词：

D O I：

10.1007/BF00675171

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By the introduction of some ansatz equations, we have obtained several new classes of traveling (solitary) wave solutions to the nonlinear diffusion equation f(1)(u)u(1) + f(2)(u)u(x) + f(3)(u)(xx) + f(4)(u)u(x)(2) = f(5)(u) and the nonlinear wave equation f(1)(u)u(u) + f(2)(u)u(1) + f(3)(u)u(xx) + f(4)(u)u(x) + f(5)(u)(x)(2)+ ... = f(6)(u) Some applications of these solutions are discussed.

引用

页码：2057 / 2065

页数：9

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