Integrability study on a generalized (2+1)-dimensional variable-coefficient Gardner model with symbolic computation
- School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876 (China)
Gardner model describes certain nonlinear elastic structures, ion-acoustic waves in plasmas, and shear flows in ocean and atmosphere. In this paper, by virtue of the computerized symbolic computation, the integrability of a generalized (2+1)-dimensional variable-coefficient Gardner model is investigated. Painleve integrability conditions are derived among the coefficient functions, which reduce all the coefficient functions to be proportional only to {gamma}(t), the coefficient of the cubic nonlinear term u{sup 2}u{sub x}. Then, an independent transformation of the variable t transforms the reduced {gamma}(t)-dependent equation into a constant-coefficient integrable one. Painleve test shows that this is the only case when our original generalized (2+1)-dimensional variable-coefficient Gardner model is integrable.
- OSTI ID:
- 21567430
- Journal Information:
- Chaos (Woodbury, N. Y.), Vol. 20, Issue 4; Other Information: DOI: 10.1063/1.3494154; (c) 2010 American Institute of Physics; ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
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