New localized excitations in a (2+1)-dimensional Broer-Kaup system

• 来源期刊: 中国物理（英文版）
• 关键词: extended homogeneous balance method variable separation approach localized excitations (2+1)-dimensional Broer-Kaup system
• 年，卷（期）: 2005,（2）
• 页码范围: 285-292
• 页数: 8页
• 语种: 英文

摘要

Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer-Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions,some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed.