摘要A class of novel nonsingular travelling complexiton solutions to a coupled Korteweg--de Vries (KdV) equation is presented via the first step Darboux transformation of the complex KdV equation with nonzero seed solution. Furthermore, the properties of the nonsingular solutions are discussed.
Abstract：A class of novel nonsingular travelling complexiton solutions to a coupled Korteweg--de Vries (KdV) equation is presented via the first step Darboux transformation of the complex KdV equation with nonzero seed solution. Furthermore, the properties of the nonsingular solutions are discussed.
[1] Miura R M, Gardner C S and Kruskal M D 1968 J. Math. Phys. 9 1204 [2] Lou S Y 1994 J. Math. Phys. 35 2390 [3] Magri F 1978 J. Math. Phys. 19 1156 [4] Zakharov V E and Faddeev L D 1971 Functional Anal.Appl. 5 280 [5] Gardner C S, Greene J M, Kruskal M D and Miura R M 1974 Comm. Pure Appl. Math. 27 97 [6] Ablowitz M J and Segur H 1981 Solitons and the InverseScattering Transform ( Philadelphia: SIAM) [7] Matveev V B 1992 Phys. Lett. A 166 205 [8] Rasinariu C, Sukhatme J and Khare A 1996 J. Phys. A: Math.Gen. 29 1803 [9] Ma W X 2002 Phys. Lett. A 301 35 [10] Gear J A and Grimshaw R 1984 Stud. Appl. Math. 70 235 Gear J A 1985 Stud. Appl. Math. 72 95 [11] Lou S Y, Tong B, Hu H C and Tang X Y 2006 J. Phys. A:Math. Gen. 39 513 [12] Brazhnyi V A and Konotop V V 2005 Phys. Rev. E 72026616 [13] Hu H C, Tong B and Lou S Y 2006 Phys. Lett. A 351 403
2008, Vol. 25 
