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
Chaos and Fractals in a (2+1)-Dimensional Soliton System
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
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.
2003, Vol. 20 
