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,
Nonlinear Evolution Equations and Inverse Scattering (Cambridge:
Cambridge University Press)

[2] Weiss J, Tabor M and Carnevale G 1983 J. Math.
Phys. 24 522

[3] Hirota R 2004 The Direct Method in Soliton Theory
(Cambridge: Cambridge University Press)

Li Y S 1999 Solitons and Integrable Systems (Shanghai:
Shanghai Scientific and Technological Education Publishing House) (in Chinese)

[4] Tian B, Wei G M, Zhang C Y, Shan W R and Gao Y T 2006
Phys. Lett. A 356 8

Wei G M, Gao Y T, Hu W and Zhang C Y 2006 Eur. Phys. J. B
53 343

[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
Phys. Scr. 75 278

[6] Barnett M, Capitani J, Von Zur Gathen J and Gerhard J 2004
Int. J. Quantum Chem. 100 80

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
Scripta 72 394

Li J, Zhang H Q, Xu T, Zhang Y X and Tian B 2007 J. Phys. A
40 13299

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.
Math. 76 133

David D, Levi D and Winternitz P 1989 Stud. Appl. Math.
80 1

[11] Gungor F and Winternitz P 2002 J. Math.
Anal. Appl. 276 314

[12] Ramani A, Grammaticos B and Bountis T 1989 Phys. Rep.
180 159

[13] Steeb E H and Euler N 1988 Nonlinear Evolution
Equations and the Painlev\'{e Test (Singapore: World Scientific)