SYMBOLIC COMPUTATION FOR THE FISHER-TYPE EQUATION WITH VARIABLE COEFFICIENTS

Yi-Tian Gao () and Bo Tian
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Yi-Tian Gao: Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 08, 1251-1259

Abstract: For the variable-coefficient Fisher-type equation, which models such spatial spread as of an advantageous gene in a population or of early farming, we, in this paper, make use of computerized symbolic computation and report a new auto-Bäcklund transformation and a couple of new families of soliton-like solutions. Sample solitary waves are presented as the special cases.

Keywords: Variable-Coefficient Fisher-Type Equation; Computerized Symbolic Computation; Auto-Bäcklund Transformation; Soliton-Like Solutions; Solitary Waves (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002486

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