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Abundant Localized Coherent Structures of the (2+1)-dimensional Generalized Nozhnik-Novikov-Veselov System

並列摘要


In a previous paper (Chin. Phys. 11, 651, (2002)), a rather general variable separation solution of the generalized Nizhnik-Novikov-Veselov(GNNV) system was obtained by using a special Bäcklund transformation, which can be derived from the extended homogenous balance method. However we did not discuss the related localized coherent structures of the model. In this article, the abundance of the localized coherent structures of the system, particularly some localized excitations with fractal behaviours, i.e. the fractal dromion and fractal lump excitations, were induced by the appropriate selection of the separated variables arbitrary functions.

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