中国物理B ›› 2004, Vol. 13 ›› Issue (9): 1382-1385.doi: 10.1088/1009-1963/13/9/002
马正义1, 朱加民1, 郑春龙2
Ma Zheng-Yi (马正义) (马正义)a) †, Zhu Jia-Min (朱加民) (朱加民)a), Zheng Chun-Long (郑春龙)(郑春龙)a)b)
摘要: This work reveals a novel phenomenon—that the localized coherent structures of a (2﹢1)﹣dimensional physical model possesses fractal behaviours. To clarify the interesting phenomenon, we take the (2﹢1)﹣dimensional higher-order Broer-Kaup system as a concrete example. Starting from a B?cklund transformation, we obtain a linear equation, and then a general solution of the system is derived. From this some special localized excitations with fractal behaviours are obtained by introducing some types of lower-dimensional fractal patterns that related to Jacobian elliptic functions.
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