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利用Painlevé展开和扩展同宿测试法,获得了CDGKS方程的新的同宿呼吸波解、周期波解和扭结孤立波解,丰富了该方程解的内容及其动力学特征.

参考文献

[1] Konopelchenko B,Dubrovsky V G.Some new integrable nonlinear evolution equations in 2+1 dimensions[J].Phys.Lett.A,1984,102:15-17.
[2] Cheng Yi,Li Yishen.Constraints of the 2+1 dimensional integrable soliton systems[J].J.Phys.A:Math.Gen.,1992,25:419.
[3] Chan W L,Zheng Yukun.Backlund transformations for the Caudrey-Dodd-Gibbon-Kotera-Sawada equation and its λ-modified equation[J].J.Math.Phys.,1989,30:2065-2068.
[4] Cao Cewen,Wu Yongtang,Geng Xianguo.On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-DoddGibbon-Kotera-Sawada equation[J].Phys.Lett.A,1999,256:59-65.
[5] Lv Na,Mei Jianqin,Zhang Hongqing.Symmetry reductions and group-invariant solutions of(2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation[J].Commun.Theor.Phys.,2010,53:591-596.
[6] Wang Tingting,Liu Xiqiang,Yu Jinqian.Symmetries,exact solutions of and conservation lows of Caudrey-DoddGibbon-Kotera-Sawada equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28:385-390(in Chinese).
[7] Lou Senyue,Ma Hongcai.Non-Lie symmetry groups of(2 + 1)-dimensional nonlinear systems obtained from a simple direct method[J].J.Phys.A:Math.Gen.,2005,38:129-137.
[8] Gao Jie,Liu Xiqiang,Guo Meiyu.New solutions and conservation lows of the(3 + 1)-dimensional nonlinear evolution equations[J].Chinese Journal of Quantum Electronics(量子电子学报),2009,26:16-22(in Chinese).
[9] Xu Bin,et al.Symmetry reduction and invariable solutions of the(2+1)-dimensional Cardner equation[J].Chinese Journal of Quantum Electronics(量子电子学报),2009,26:531-536(in Chinese).
[10] Yang Zonghang.A series of exact solutions of the(2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation[J].Commun.Theor.Phys.,2006,46:807-811.
[11] Hu Xingbiao,Li Yong.Nonlinear superposition formula of 1+2 dimensional Caudrey-Dodd-Gibbon-Koter-Sawada equation[J].Applied Mathematics-A Journal of Chinese Universities,1993,1:17-27.
[12] Caudrey P J,Dodd R K,Gibbon J D.A new hierarchy of Kortewge-de Vries equations[J].Proc.Roy.Soc.Lond.Ser.A,1976,351:407-422.
[13] Dodd R K,Gibbon J D.The proiongation structure of a higher order Kortewge-de Vries equation[J].Proc.Roy.Soc.Lond.Ser.A,1977,358:287-296.
[14] Dai Zhengde,Xian Daquan.Homoclinic breather-wave solutions for sine-Gordon equation[J].Communications in Nonlinear Science and Numerical Simulation,2009,14(8):3292-3295.
[15] Dai Zhengde,Xian Daquan,Li Donglong.Homoclinic breather-wave with convective effect for the(1+1)-dimensional Boussinesq equation[J].China Phys.Lett.,2009,26(4):040203.
[16] Wang Hong,Xian Daquan,Chen Hanlin.Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations[J].Applied Mathematics and Computation,2011,218:610-615.
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