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
Painleve Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev--Petviashvili Equation with Symbolic Computation
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
摘要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.
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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2008, Vol. 25 
