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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

96 Scopus citations

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.

Original language	English
Pages (from-to)	1451-1456
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	14
Issue number	9
DOIs	https://doi.org/10.1016/S0960-0779(02)00077-2
State	Published - Dec 2002
Externally published	Yes

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

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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year = "2002",

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AU - Tang, Xiao Yan

AU - Lou, Sen Yue

PY - 2002/12

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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.

UR - https://www.scopus.com/pages/publications/0036885517

U2 - 10.1016/S0960-0779(02)00077-2

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

M3 - 文章

AN - SCOPUS:0036885517

SN - 0960-0779

VL - 14

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EP - 1456

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 9

ER -

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

Abstract

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