ABRAHAMS–TSUNETO REACTION–DIFFUSION SYSTEM IN SUPERCONDUCTIVITY AND SYMBOLIC COMPUTATION

Yi-Tian Gao, Bo Tian and Guang-Mei Wei
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Yi-Tian Gao: Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Guang-Mei Wei: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 10, 1417-1423

Abstract: The reaction–diffusion systems represent various problems in the real world. For the Abrahams–Tsuneto reaction–diffusion system arising in superconductivity, we perform computerized symbolic computation and find its new exact analytic solutions, which are solitonic. We see the possibility that by way of theshock waves, the self–consistent superconducting interaction drives the Ginzburg–Landau order parameter, which might beobservable.

Keywords: Reaction–diffusion equations; superconductivity; generalized hyperbolic-function method; shock waves; exact analytic solutions; computerized symbolic computation (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002735

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