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Painleve Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev--Petviashvili Equation with Symbolic Computation |
| WEI Guang-Mei1; GAO Yi-Tian2,3;XU Tao4;MENG Xiang-Hua4;ZHANG Chun-Yi5 |
| 1Department of Mathematics and LMIB, Beijing University of Aeronautics and Astronautics, Beijing 1000832Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 1000833State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 1000834School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 1008765Meteorology Center of Air Force Command Post, Changchun 130051 |
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| Cite this article: |
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WEI Guang-Mei, GAO Yi-Tian, XU Tao et al 2008 Chin. Phys. Lett. 25 1599-1602 |
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Abstract A variable-coefficient Kadomtsev--Petviashvili equation is investigated. The Painleve analysis leads to its explicit Painleve-integrable conditions. An auto-Backlund transformation and the bilinear form are presented via the truncated Painleve expansion and symbolic computation. Several families of new analytic
solutions are presented, including the soliton-like and periodic solutions.
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| Keywords:
05.45.Yv
02.30.Jr
92.10.Hm
52.35.Mw
02.70.Wz
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Received: 05 February 2008
Published: 29 April 2008
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| PACS: |
05.45.Yv
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(Solitons)
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02.30.Jr
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(Partial differential equations)
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92.10.Hm
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(Ocean waves and oscillations)
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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02.70.Wz
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(Symbolic computation (computer algebra))
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