ON THE SOLUTION OF GENERALIZED INHOMOGENEOUS NONLINEAR DIFFUSION-CONVECTION EQUATION

Authors
SAIED EA
Citation
Ea. Saied, ON THE SOLUTION OF GENERALIZED INHOMOGENEOUS NONLINEAR DIFFUSION-CONVECTION EQUATION, Journal of the Physical Society of Japan, 67(4), 1998, pp. 1151-1156
Citations number
17
Categorie Soggetti
Physics
Journal title
Journal of the Physical Society of Japan → ACNP
ISSN journal
00319015
Volume
67
Issue
4
Year of publication
1998
Pages
1151 - 1156
Database
ISI
SICI code
0031-9015(1998)67:4<1151:OTSOGI>2.0.ZU;2-B
Abstract
This paper classifies all point transformations of a general class bet ween generalized nonlinear diffusion-convection equations of the form f(sl)u(t) = E(x, u, u(x))x and E(x, u, u(x)) = g(x)D(u)u(x) + H(u). Th ese transformations depend on the functional form of the functions D(u ), H(u), f(x), and g(x) Some new exactly linearizable forms are determ ined and solved by using Lie group method.