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

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...

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Published inInternational journal of modern physics. C, Computational physics, physical computation Vol. 12; no. 9; pp. 1383 - 1389
Main Authors GAO, YI-TIAN, TIAN, BO
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.11.2001
Subjects
variable-coefficient balancing-act method
Computerized symbolic computation
soliton-like solutions
variable-coefficient modified Kadomtsev–Petviashvili equation
algorithm
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ISSN0129-1831
1793-6586
DOI10.1142/S0129183101002681

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Summary: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.
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ISSN:0129-1831
1793-6586
DOI:10.1142/S0129183101002681