2009, Vol. 26(2): 20202-020202    DOI: 10.1088/0256-307X/26/2/020202
N-Soliton Solution of a Generalized Hirota-Satsuma Coupled KdV Equation and Its Reduction
WU Jian-Ping1, GENG Xian-Guo2, ZHANG Xiao-Lin3
1Institute of Electronic Technology, the PLA Information Engineering University, Zhengzhou 4500042Department of Mathematics, Zhengzhou University, Zhengzhou 4500523Zhengzhou Pilot Primary School of Economic and Technological Development Area, Zhengzhou 450016
收稿日期 2008-11-26  修回日期 1900-01-01
Supporting info

[1] Ablowitz M J and Segur H 1981 Solitons and the
Inverse Scattering Transform (Philadelphia, PA: SIAM)

[2] Novikov S P, Manakov S V, Pitaevskii L P and Zakharov V
E 1984 Theory of Solitons, the Inverse Scattering Methods
(New York: Consultants Bureau)

[3]Levi D 1988 Inverse Problems 4 165

[4] Matveev V B, Salle M A 1991 Darboux Transformations
and Solitons (Berlin: Springer)

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

[6]Hirota R and Ohta Y 1991 J. Phys. Soc. Jpn. 60
798

[7]Ma W X and You Y C 2005 Trans. Amer. Math. Soc.
357 1753

[8]Ma W X and Maruno K I 2004 Physica A 343 219

[9]Geng X G 2003 J. Phys. A: Math. Gen. 36 2289

[10]Hirota R and Satsuma J 1989 J. Phys. Soc. Jpn.
58 2285

[11]Ma W X and Pavlov M 1998 Phys. Lett. A 246
511

[12]Ma W X 1998 J. Phys. A: Math. Gen. 31 7279

[13]Wu Y T, Geng X G, Hu X B and Zhu S M 1999 Phys.
Lett. A 255 259

[14]Fan E G and Hon B Y C 2002 Phys. Lett. A
292 335

[15]Ganji D D, Rafei M 2006 Phys. Lett. A 356 131