Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7293
Title: Hirota method for solving reaction-diffusion equations with generalized nonlinearity
Authors: Tanoğlu, Gamze
Tanoğlu, Gamze
Keywords: Solitary wave
Nonlinear evolution equation
Hirota Method
Issue Date: 2006
Publisher: World Academic Press
Source: Tanoğlu, G. (2006). Hirota method for solving reaction-diffusion equations with generalized nonlinearity. International Journal of Nonlinear Science, 1, 30-36.
Abstract: The Hirota Method is applied to find an exact solitary wave solution to evolution equation with generalized nonlinearity. By introducing the power form of Hirota ansatz the bilinear representation for this equation is derived and the traveling wave solution is constructed by Hirota perturbation. We show that velocity of this solution is naturally fixed by truncating the Hirota’s perturbation expansion. So in our approach, this truncate on works similarly to the way Ablowitz and Zeppetella obtained an exact travelling wave solution of Fisher’s equation by finding the special wave speed for which the resulting ODE is of the Painleve type. In the special case the model admits N shock soliton solution and the reduction to Burgers’ equation.
URI: https://hdl.handle.net/11147/7293
ISSN: 1479-3889
Appears in Collections:Mathematics / Matematik

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