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Chaos and Fractals in a (2+1)-Dimensional Soliton System |
| ZHENG Chun-Long1,2,3;ZHANG Jie-Fang3;SHENG Zheng-Mao2 |
| 1Department of Physics, Zhejiang Lishui Normal College, Lishui 323000
2Department of Physics, Zhejiang University, Hangzhou 310027
3Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004 |
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| Cite this article: |
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ZHENG Chun-Long, ZHANG Jie-Fang, SHENG Zheng-Mao 2003 Chin. Phys. Lett. 20 331-334 |
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Abstract Considering that there are abundant coherent soliton excitations in high dimensions, we reveal a novel phenomenon that the localized excitations possess chaotic and fractal behaviour in some (2+1)-dimensional soliton systems. To clarify the interesting phenomenon, we take the generalized (2+1)-dimensional Nizhnik-Novikov-Vesselov system as a concrete example. A quite general variable separation solutions of this system is derived via a variable separation approach first, then some new excitations like chaos and fractals are derived by introducing some types of lower dimensional chaotic and fractal patterns.
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| Keywords:
05.45.Yv
03.40.Kf
03.65.Ge
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Published: 01 March 2003
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