The Hirota Method for Reaction‐Diffusion Equations with Three Distinct Roots
作者:
Gamze Tanog˘lu,
Oktay Pashaev,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 729,
issue 1
页码: 374-380
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1814753
出版商: AIP
数据来源: AIP
摘要:
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. © 2004 American Institute of Physics
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