Chaos and Fractals in a (2+1)—Dimensional Soliton System |
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引用本文: | 郑春龙,张解放,等.Chaos and Fractals in a (2+1)—Dimensional Soliton System[J].中国物理快报,2003,20(3):331-334. |
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作者姓名: | 郑春龙 张解放 |
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作者单位: | [1]DepartmentofPhysics,ZhejiangLishuiNormalCollege,Lishui323000;DepartmentofPhysics,ZhejiangUniversity,Hangzhou310027 [2]InstituteofNonlinearPhysics,ZhejiangNormalUniversity,Jinhua321004 |
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摘 要: | Considering that there are abundant coherent solitent 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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关 键 词: | 浑沌 孤子 非线性物理 |
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