Localized Excitations with Novel Evolutional Behavior in a Generalized Sasa-Satsuma System

Chun-Long Zheng；Gui-Ping Cai

Chinese Journal of Physics

46卷3期（2008 / 06 / 01）

255 - 269

英文

Using an extended mapping approach and a Painlevé-Bäcklund transformation we derive new families of variable separation solutions (including solitary wave solutions, periodic wave solutions, and rational function solutions) with arbitrary functions to the (2+1)-dimensional generalized Sasa-Satsuma (GSS) system. Analytical investigation of the (2+1)-dimensional GSS system shows the existence of abundant stable localized coherent excitations such as dromions, lumps, peakons, compactons, and ring soliton solutions, as well as rich fractal and chaotic localized patterns, which are derived in terms of the variable separation solutions when we consider appropriate boundary and/or initial conditions. Furthermore, in terms of the derived exact solution, we reveal some novel evolutional behavior of the localized excitations, i.e., fission, fusion, and annihilation phenomena in the (2+1)-dimensional GSS system.