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Painleve Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev--Petviashvili Equation with Symbolic Computation |
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| Authors: | WEI Guang-Mei GAO Yi-Tian XU Tao MENG Xiang-Hua ZHANG Chun-Yi |
| Affiliation: | [1]Department of Mathematics and LMIB, Beijing University of Aeronautics and Astronautics, Beijin 100083; [2]Ministry-of-Education Key Laboratory of Fluid Mechanics and NationaJ Laboratory for ComputationaJ Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083; [3]State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083; [4]School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 100876; [5]Meteorology Center of Air Force Command Post, Changchun 130051 |
| 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 analyticsolutions are presented, including the soliton-like and periodic solutions. |
| Keywords: | 05 45 Yv 02 30 Jr 92 10 Hm 52 35 Mw 02 70 Wz |
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