2008, Vol. 25(5): 1599-1602 DOI: | ||
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 | ||
收稿日期 2008-02-05 修回日期 1900-01-01 | ||
Supporting info | ||
[1] Ablowitz M J and Clarkson P A 1991 Solitons, [2] Weiss J, Tabor M and Carnevale G 1983 J. Math. [3] Hirota R 2004 The Direct Method in Soliton Theory Li Y S 1999 Solitons and Integrable Systems (Shanghai: [4] Tian B, Wei G M, Zhang C Y, Shan W R and Gao Y T 2006 Wei G M, Gao Y T, Hu W and Zhang C Y 2006 Eur. Phys. J. B [5] Ei G A and Grimshaw R H J 2002 Chaos 12 1015 Dcmiray H 2004 Int. J. Engng. Sci. 42 203 Tian B and Gao Y T 2005 Phys. Plasmas 12 054701 Li J, Xu T, Meng X H, Yang Z C, Zhu H W and Tian B 2007 [6] Barnett M, Capitani J, Von Zur Gathen J and Gerhard J 2004 Hong W P 2007 Phys. Lett. A 361 520 Gao Y T and Tian B 2006 Phys. Plasmas 13 L120703 Gao Y T and Tian B 2007 Europhys. Lett. 77 15001 Tian B and Gao Y T 2007 Phys. Lett. A 362 283 [7] Tian J P, Li J H, Kang L S and Zhou G S 2005 Physica Li J, Zhang H Q, Xu T, Zhang Y X and Tian B 2007 J. Phys. A Li H and Wang D N 2007 Chin. Phys. Lett. 24 462 Tian B, Gao Y T and Zhu H W 2007 Phys. Lett. A 366 223 [8] Gwinn A W 1997 J. Fluid Mech. 341 195 [9] Milewski P 1998 J. Phys. D 123 36 [10] David D, Levi D and Winternitz P 1987 Stud. Appl. David D, Levi D and Winternitz P 1989 Stud. Appl. Math. [11] Gungor F and Winternitz P 2002 J. Math. [12] Ramani A, Grammaticos B and Bountis T 1989 Phys. Rep. [13] Steeb E H and Euler N 1988 Nonlinear Evolution |
||