Abstract
Considering that there are abundant coherent soliton excitations in highdimensions, we reveal a novel phenomenon that the localized excitationspossess chaotic and fractal behaviour in some (2+1)-dimensional solitonsystems. 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 derivedvia a variable separation approach first, then some new excitations likechaos and fractals are derived by introducing some types of lower-dimensional chaotic and fractal patterns.
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