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

Authors
YANG ZJ DUNLAP RA GELDART DJW
Citation
Zj. Yang et al., EXACT TRAVELING-WAVE SOLUTIONS TO NONLINEAR DIFFUSION AND WAVE-EQUATIONS, International journal of theoretical physics, 33(10), 1994, pp. 2057-2065
Citations number
16
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
33
Issue
10
Year of publication
1994
Pages
2057 - 2065
Database
ISI
SICI code
0020-7748(1994)33:10<2057:ETSTND>2.0.ZU;2-F
Abstract
By the introduction of some ansatz equations, we have obtained several new classes of traveling (solitary) wave solutions to the nonlinear d iffusion 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 ap plications of these solutions are discussed.