The Hirota Method for Reaction-Diffusion Equations with Three Distinct Roots
- Department of Mathematics, Izmir Institute of Technology, Gulbahce Campus, 35430, Urla, Izmir (Turkey)
The Hirota Method, with modified background is applied to construct exact analytical solutions of nonlinear reaction-diffusion equations of two types. The first equation has only nonlinear reaction part, while the second one has in addition the nonlinear transport term. For both cases, the reaction part has the form of the third order polynomial with three distinct roots. We found analytic one-soliton solutions and the relationships between three simple roots and the wave speed of the soliton. For the first case, if one of the roots is the mean value of other two roots, the soliton is static. We show that the restriction on three distinct roots to obtain moving soliton is removed in the second case by, adding nonlinear transport term to the first equation.
- OSTI ID:
- 20630236
- Journal Information:
- AIP Conference Proceedings, Vol. 729, Issue 1; Conference: International workshop on global analysis, Ankara (Turkey), 15-17 Apr 2004; Other Information: DOI: 10.1063/1.1814753; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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