VARIABLE-COEFFICIENT BALANCING-ACT ALGORITHM EXTENDED TO A VARIABLE-COEFFICIENT MKP MODEL FOR THE ROTATING FLUIDS

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 09, 1383-1389

Abstract: The modified Kadomtsev–Petviashvili (MKP) models describe the large-scale motion of such rotating fluids as the atmosphere and oceans. Based on the computerized symbolic computation, we in this paper extend the power of the variable-coefficient balancing-act method, which is recently proposed, to a variable-coefficient MKP model. The model is re-written as a coupled set of partial differential equations, and the algorithm is re-written correspondingly. We obtain a new family of the soliton-like, exact analytic solutions, beyond the traveling waves.

Keywords: Computerized symbolic computation; variable-coefficient modified Kadomtsev–Petviashvili equation; variable-coefficient balancing-act method; algorithm; soliton-like solutions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002681

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