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

^*此作品的通讯作者

Shanghai Jiao Tong University
Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

93 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	L293-L301
期刊	Journal of Physics A: Mathematical and General
卷	35
期	22
DOI	https://doi.org/10.1088/0305-4470/35/22/101
出版状态	已出版 - 7 6月 2002
已对外发布	是

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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.",

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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.

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

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