ON A VARIABLE-COEFFICIENT MODIFIED KP EQUATION AND A GENERALIZED VARIABLE-COEFFICIENT KP EQUATION WITH COMPUTERIZED SYMBOLIC COMPUTATION

Yi-Tian Gao () and Bo Tian
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Yi-Tian Gao: Department of Applied Physics and 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

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 06, 819-833

Abstract: The variable-coefficient nonlinear evolution equations, although realistically modeling various mechanical and physical situations, often cause some well-known powerful methods not to work efficiently. In this paper, we extend the power of the generalized hyperbolic-function method, which is based on the computerized symbolic computation, to a variable-coefficient modified Kadomtsev–Petviashvili (KP) equation and a generalized variable-coefficient KP equation. New exact analytic solutions thus come out.

Keywords: Computerized Symbolic Computation; Variable-Coefficient Modified KP Equation; Generalized Variable-Coefficient KP Equation; Generalized Hyperbolic-Function Method; Exact Analytic Solutions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002024

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