Published October 15, 2008 | Version v1
Journal article Metadata-only

Invariant Sets and Exact Solutions to Nonlinear Diffusion Equations with x-Dependent Convection and Absorption

Creators

  • 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072 (China)

Description

In this paper, we introduce a new invariant set, where f and g are some smooth functions of x, ε is a constant, and F is a smooth function to he determined. The invariant sets and exact solutions to nonlinear diffusion equation ut = (D(u)ux)x +Q(x,u)ux +P{x,u), are discussed. It is shown that there exist several classes of solutions to the equation that belong to the invariant set E-tilde o

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/50/4/05

Additional details

Identifiers

DOI
10.1088/0253-6102/50/4/05;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
50
Journal Issue
4
Journal Page Range
p. 821-826
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40077020
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIFFUSION EQUATIONS; EXACT SOLUTIONS; FUNCTIONS; NONLINEAR PROBLEMS; SET THEORY
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS