This work reveals a novel phenomenon—that the localized coherent structures of a (2+1)-dimensional physical model possesses fractal behaviours. To clarify the interesting phenomenon, we take the (2+l)-dimensional higher-order Broer-Kaup system as a concrete example. Starting from a Bǎcklund transformation, we obtain a linear equation, and then a general solution of the system is derived. From this some special localized excitations with fractal behaviours are obtained by introducing some types of lower-dimensional fractal patterns that related to Jacobian elliptic functions.
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机译：Exact solutions for the transformed reduced Ostrovsky equation via the F-expansion method in terms of Weierstrass-elliptic and Jacobian-elliptic functions
机译：Application of Jacobian elliptic functions to the analysis of the steady-state solution of the damped duffing equation with driving force of elliptic type
机译：Structure Determination and Mechanistic Insights of: I.Cyanobacteriochrome NpR6012g4 Light Sensor Protein in Phototaxis II.Retinal Degeneration 3 (RD3) Protein in Vision III.Ryanodine Receptor 2 (RyR2) Regulation by Calmodulin (CaM) in Cardiac Function =结构测定和机理洞悉：I.趋光性中的蓝细菌色素NpR6012g4光敏蛋白 II.视觉作用中的视网膜退化蛋白3 III.心脏功能中的钙调蛋白调控兰诺定受体2
