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Title: The Hirota Method for reaction-diffusion equations with three distinct roots
Authors: Tanoğlu, Gamze
Pashaev, Oktay
Keywords: Hirota Method
Phase transition
Issue Date: 2004
Publisher: American Institute of Physics
Abstract: 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.
ISSN: 0094-243X
Appears in Collections:Mathematics / Matematik
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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