Published October 15, 2009
| Version v1
Journal article
Canonical-like transformation method and exact solutions to a class of diffusion equations
Creators
- 1. Department of Mathematics, Daqing Petroleum Institute, Daqing 163318 (China)
Description
A new method named canonical-like transformation method is proposed to find the exact solutions to nonlinear diffusion equations. By this method, the exact traveling wave solutions to a class of diffusion equations are obtained. As special cases, some exact solutions to Fisher equation, Burgers-KdV equation and Newell-Whitehead equation are given.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2009.01.006Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2009.01.006;
- PII
- S0960-0779(09)00011-3;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 42
- Journal Issue
- 1
- Journal Page Range
- p. 441-446
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41020429
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DIFFUSION EQUATIONS; EXACT SOLUTIONS; KORTEWEG-DE VRIES EQUATION; NONLINEAR PROBLEMS; TRANSFORMATIONS; TRAVELLING WAVES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.