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Explicit Exact Solutions for Some Nonlinear Partial Differential Equations with Nonlinear Terms of Any Order.
- Source :
- Czechoslovak Journal of Physics; Apr2003, Vol. 53 Issue 4, p283, 13p
- Publication Year :
- 2003
-
Abstract
- In this paper, by introducing some appropriate transformation and with the help of symbolic computation, we study exact travelling wave solutions for the high-order modified Boussinesq equation, a single nonlinear reaction-diffusion equation and a generalized nonlinear Schrödinger equation with nonlinear terms of any order by use of the extended-tanh method. Thus, some new exact travelling-wave solutions, which contain kink-shaped solitons, bell-shaped solitons, periodic solutions, combined formal solitons, rational solutions and singular solitons for these equations, are obtained. [ABSTRACT FROM AUTHOR]
- Subjects :
- PARTIAL differential equations
ELECTROMAGNETIC waves
REACTION-diffusion equations
Subjects
Details
- Language :
- English
- ISSN :
- 00114626
- Volume :
- 53
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Czechoslovak Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 10082315
- Full Text :
- https://doi.org/10.1023/A:1023488209337