1Department of Physics, Zhejiang Lishui Normal College, Lishui 323000
2Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072
3Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004
4Department of Physics, Jiangxi Yichu University, Yichu 336000
Peakon and Foldon Excitations In a (2+1)-Dimensional Breaking Soliton System
1Department of Physics, Zhejiang Lishui Normal College, Lishui 323000
2Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072
3Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004
4Department of Physics, Jiangxi Yichu University, Yichu 336000
Abstract： 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.
2003, Vol. 20 
