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Chaos and Fractals in a (2+1)—Dimensional Soliton System
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.
作者姓名:郑春龙  张解放
作者单位:[1]DepartmentofPhysics,ZhejiangLishuiNormalCollege,Lishui323000;DepartmentofPhysics,ZhejiangUniversity,Hangzhou310027 [2]InstituteofNonlinearPhysics,ZhejiangNormalUniversity,Jinhua321004
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.

关 键 词:浑沌  孤子  非线性物理
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