Localized excitations with and without propagating properties in （2＋1）-dimensions obtained by a mapping approach
被引量：3
参考文献25
1 Lorenz F W 1963 J. Atmos. Sci. 20 130.
2 Camassa R and Holm D D 1993 Phys. Rev. Lett. 71 1661.
3 Rosenau P and Hyman J 1993 Phys. Rev. Lett. 70 564.
4 Zheng C L and Zhang J F 2002 Acta Phys. Sin. 51 2426(in Chinese).
5 Boiti M, Leon J, Martina L and Pempinelli F 1988 Phys.Lett. A 102 432.
6 Tang X Y, Lou S Y and Zhang Y 2002 Phys. Rev. E 66 046601.
7 Tang X Y and Lou S Y 2003 J. Math. Phys. 44 4000.
8 Zheng C L and Chen L Q 2004 J. Phys. Soc. Jpn. 73 293.
9 Zheng C L and Sheng Z M 2003 Inter. J. Mod. Phys. B 17 4407.
10 Zheng C L, Zhang J F and Sheng Z M 2003 Chin. Phys.Lett. 20 331.
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2 徐昌智,张解放.(2+1)维非线性Burgers方程变量分离解和新型孤波结构[J] .物理学报,2004,53(8):2407-2412. 被引量：8
3 智红燕,王琪,张鸿庆.(2+1) 维Broer-Kau-Kupershmidt方程一系列新的精确解[J] .物理学报,2005,54(3):1002-1008. 被引量：13
4 方建平,郑春龙.New exact excitations and soliton fission and fusion for the （2＋1）-dimensional Broer-Kaup-Kupershmidt system[J] .Chinese Physics B,2005,14(4):669-675. 被引量：10
5 曾昕,张鸿庆.(2+1)维Boussinesq方程的Backlund变换与精确解[J] .物理学报,2005,54(4):1476-1480. 被引量：37
6 田贵辰,刘希强.含外力项的广义变系数KdV方程的精确解[J] .量子电子学报,2005,22(3):339-343. 被引量：26
7 卢殿臣,洪宝剑,田立新.带强迫项变系数组合KdV方程的显式精确解[J] .物理学报,2006,55(11):5617-5622. 被引量：54
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9 Kadomtsev B B, Petviashvili V I. On the stability of solitary waves in weakly dispersive media[J]. Soy Phys Dokl, 1970, 15(1):539-541.
10 套格图桑,斯仁道尔吉.辅助方程构造带强迫项变系数组合KdV方程的精确解[J] .物理学报,2008,57(3):1295-1300. 被引量：15
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