Localized solutions with chaotic and fractal behaviours in a (2 + 1)-dimensional dispersive long-wave system

Xiao Yan Tang; Chun Li Chen; Sen Yue Lou

doi:10.1088/0305-4470/35/22/101

Localized solutions with chaotic and fractal behaviours in a (2 + 1)-dimensional dispersive long-wave system

Xiao Yan Tang^*
, Chun Li Chen
, Sen Yue Lou

^*Corresponding author for this work

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

93 Scopus citations

Abstract

It is known that in high dimensions there exist abundant localized excitations such as dromions, lumps, ring soliton solutions and so on. In this paper, the possible chaotic and fractal localized structures are revealed for the (2 + 1)dimensional dispersive long-wave equation. The chaotic and fractal dromion and lump patterns of the model are constructed by some types of lower-dimensional chaotic and fractal patterns.

Original language	English
Pages (from-to)	L293-L301
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	22
DOIs	https://doi.org/10.1088/0305-4470/35/22/101
State	Published - 7 Jun 2002
Externally published	Yes

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10.1088/0305-4470/35/22/101

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title = "Localized solutions with chaotic and fractal behaviours in a (2 + 1)-dimensional dispersive long-wave system",

abstract = "It is known that in high dimensions there exist abundant localized excitations such as dromions, lumps, ring soliton solutions and so on. In this paper, the possible chaotic and fractal localized structures are revealed for the (2 + 1)dimensional dispersive long-wave equation. The chaotic and fractal dromion and lump patterns of the model are constructed by some types of lower-dimensional chaotic and fractal patterns.",

author = "Tang, \{Xiao Yan\} and Chen, \{Chun Li\} and Lou, \{Sen Yue\}",

year = "2002",

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AU - Tang, Xiao Yan

AU - Chen, Chun Li

AU - Lou, Sen Yue

PY - 2002/6/7

Y1 - 2002/6/7

N2 - It is known that in high dimensions there exist abundant localized excitations such as dromions, lumps, ring soliton solutions and so on. In this paper, the possible chaotic and fractal localized structures are revealed for the (2 + 1)dimensional dispersive long-wave equation. The chaotic and fractal dromion and lump patterns of the model are constructed by some types of lower-dimensional chaotic and fractal patterns.

AB - It is known that in high dimensions there exist abundant localized excitations such as dromions, lumps, ring soliton solutions and so on. In this paper, the possible chaotic and fractal localized structures are revealed for the (2 + 1)dimensional dispersive long-wave equation. The chaotic and fractal dromion and lump patterns of the model are constructed by some types of lower-dimensional chaotic and fractal patterns.

UR - https://www.scopus.com/pages/publications/0037036175

U2 - 10.1088/0305-4470/35/22/101

DO - 10.1088/0305-4470/35/22/101

M3 - 文章

AN - SCOPUS:0037036175

SN - 0305-4470

VL - 35

SP - L293-L301

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 22

ER -

Localized solutions with chaotic and fractal behaviours in a (2 + 1)-dimensional dispersive long-wave system

Abstract

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