Abundant coherent structures of the dispersive long-wave equation in (2+1)-dimensional spaces

Xiao Yan Tang; Sen Yue Lou

doi:10.1016/S0960-0779(02)00077-2

Abundant coherent structures of the dispersive long-wave equation in (2+1)-dimensional spaces

Xiao Yan Tang
, Sen Yue Lou^*

^*此作品的通讯作者

Shanghai Jiao Tong University
Abdus Salam International Centre for Theoretical Physics
Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

97 引用（Scopus）

摘要

By means of the variable separation approach, the abundant localized coherent structures of a (2+1)-dimensional dispersive long-wave equation (2DDLWE) are given out. The result formula for the coherent solutions is totally the same as that of the asymmetric Nizhnik-Novikov-Veselov equation and the asymmetric Davey-Stewartson equation. Especially, from the figure plots of three-soliton solution, we find that the interaction among the travelling saddle type ring solitons is elastic.

源语言	英语
页（从-至）	1451-1456
页数	6
期刊	Chaos, Solitons and Fractals
卷	14
期	9
DOI	https://doi.org/10.1016/S0960-0779(02)00077-2
出版状态	已出版 - 12月 2002
已对外发布	是

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abstract = "By means of the variable separation approach, the abundant localized coherent structures of a (2+1)-dimensional dispersive long-wave equation (2DDLWE) are given out. The result formula for the coherent solutions is totally the same as that of the asymmetric Nizhnik-Novikov-Veselov equation and the asymmetric Davey-Stewartson equation. Especially, from the figure plots of three-soliton solution, we find that the interaction among the travelling saddle type ring solitons is elastic.",

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N2 - By means of the variable separation approach, the abundant localized coherent structures of a (2+1)-dimensional dispersive long-wave equation (2DDLWE) are given out. The result formula for the coherent solutions is totally the same as that of the asymmetric Nizhnik-Novikov-Veselov equation and the asymmetric Davey-Stewartson equation. Especially, from the figure plots of three-soliton solution, we find that the interaction among the travelling saddle type ring solitons is elastic.

AB - By means of the variable separation approach, the abundant localized coherent structures of a (2+1)-dimensional dispersive long-wave equation (2DDLWE) are given out. The result formula for the coherent solutions is totally the same as that of the asymmetric Nizhnik-Novikov-Veselov equation and the asymmetric Davey-Stewartson equation. Especially, from the figure plots of three-soliton solution, we find that the interaction among the travelling saddle type ring solitons is elastic.

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DO - 10.1016/S0960-0779(02)00077-2

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Abundant coherent structures of the dispersive long-wave equation in (2+1)-dimensional spaces

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