Peakon and Foldon Excitations in a (2+1)—Dimensional Breaking Soliton System
作者机构:ShanghaiInstituteofMathematicsandMechanicsShanghaiUniversityShanghai200072 InstituteofNonlinearPhysicsZhejiangNormalUniversityJinhua321004
出 版 物:《Chinese Physics Letters》 (中国物理快报(英文版))
年 卷 期:2003年第20卷第6期
页 面:783-786页
核心收录:
学科分类:0809[工学-电子科学与技术(可授工学、理学学位)] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0702[理学-物理学]
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.