Fractal localized structures related to Jacobian elliptic functions in the higher-order Broer-Kaup system

• 来源期刊: 中国物理（英文版）
• 关键词: higher-order Broer-Kaup system Backlund transformation variable separation approach Jacobian elliptic function fractal
• 年，卷（期）: 2004,（9）
• 页码范围: 1382-1385
• 页数: 4页
• 语种: 英文

摘要

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+1)-dimensional higher-order Broer-Kaup system as a concrete example. Starting from a Backlund 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.