Multi-valued solitary waves in multidimensional soliton systems |
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Authors: | Zheng Chun-Long Chen Li-Qun Zhang Jie-Fang |
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Affiliation: | Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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Abstract: | 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. |
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Keywords: | multidimensional soliton system multivalued solitary wave foldon |
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