中国物理B ›› 2004, Vol. 13 ›› Issue (5): 592-597.doi: 10.1088/1009-1963/13/5/006
郑春龙1, 陈立群2, 张解放3
Zheng Chun-Long (郑春龙)abc, Chen Li-Qun (陈立群)b, Zhang Jie-Fang (张解放)bc
摘要: Considering that folded phenomena are rather universal in nature and some arbitrary functions can be included in the exact excitations of many (2+1)-dimensional soliton systems, we use adequate multivalued functions to construct folded solitary structures in multi-dimensions. Based on some interesting variable separation results in the literature, a common formula with arbitrary functions has been derived for suitable physical quantities of some significant (2+1)-dimensional soliton systems like the generalized Ablowitz-Kaup-Newell-Segur (GAKNS) model, the generalized Nizhnik-Novikov-Veselov (GNNV) system and the new (2+1)-dimensional long dispersive wave (NLDW) system. Then a new special type of two-dimensional solitary wave structure, i.e. the folded solitary wave and foldon, is obtained. The novel structure exhibits interesting features not found in the single valued solitary excitations.
中图分类号: (Solitons)