Peakon and Foldon Excitations In a (2+1)-Dimensional Breaking Soliton System

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2003,（6）
• 页码范围: 783-786
• 页数: 4页
• 语种: 英文

摘要

Starting from the standard truncated Painlevé expansion and a variable separation approach, a general variable separation solution of the breaking soliton system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, and previously revealed chaotic and fractal localized solutions, some new types of excitations, peakons and foldons, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple valued functions.