A numerical simulation and explicit solutions of the generalized Burgers-Fisher equation

作者: Doǧan Kaya , Salah M. El-Sayed

DOI: 10.1016/S0096-3003(03)00565-4

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摘要: We consider solitary-wave solutions of the generalized Burgers-Fisher (BF) equation u"t+pu^ru"x-u"x"x-qu(1-u^r)=0. In this paper by considering decomposition scheme, we first obtain exact BF for initial condition without using any classical transformations and then its numerical are constructed discretization technique. The compared with known analytical solutions. Its remarkable accuracy is finally demonstrated in study some values r>=2 equation.

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