Fractal solutions of the Nizhnik-Novikov-Veselov equation

Sen Yue Lou; Xiao Yan Tang; Chun Li Chen

doi:10.1088/0256-307X/19/6/308

Fractal solutions of the Nizhnik-Novikov-Veselov equation

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

^*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

54 引用（Scopus）

摘要

Considering that some types of fractal solutions may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of lower dimensional fractal functions to construct higher dimensional fractal solutions of the Nizhnik-Novikov-Veselov equation. The static eagle-shape fractal solutions, fractal dromion solutions and the fractal lump solutions are given in detail.

源语言	英语
期刊论文编号	308
页（从-至）	769-771
页数	3
期刊	Chinese Physics Letters
卷	19
期	6
DOI	https://doi.org/10.1088/0256-307X/19/6/308
出版状态	已出版 - 2002
已对外发布	是

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title = "Fractal solutions of the Nizhnik-Novikov-Veselov equation",

abstract = "Considering that some types of fractal solutions may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of lower dimensional fractal functions to construct higher dimensional fractal solutions of the Nizhnik-Novikov-Veselov equation. The static eagle-shape fractal solutions, fractal dromion solutions and the fractal lump solutions are given in detail.",

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N2 - Considering that some types of fractal solutions may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of lower dimensional fractal functions to construct higher dimensional fractal solutions of the Nizhnik-Novikov-Veselov equation. The static eagle-shape fractal solutions, fractal dromion solutions and the fractal lump solutions are given in detail.

AB - Considering that some types of fractal solutions may appear in many (2+1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions, we use some special types of lower dimensional fractal functions to construct higher dimensional fractal solutions of the Nizhnik-Novikov-Veselov equation. The static eagle-shape fractal solutions, fractal dromion solutions and the fractal lump solutions are given in detail.

UR - https://www.scopus.com/pages/publications/0035997626

U2 - 10.1088/0256-307X/19/6/308

DO - 10.1088/0256-307X/19/6/308

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Fractal solutions of the Nizhnik-Novikov-Veselov equation

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