Painlevé integrability and multi-dromion solutions of the 2+1 dimensional AKNS system

Sen Yue Lou; Ji Lin; Xiao Yan Tang

doi:10.1007/s100510170097

Painlevé integrability and multi-dromion solutions of the 2+1 dimensional AKNS system

Sen Yue Lou^*
, Ji Lin
, Xiao Yan Tang

^*此作品的通讯作者

Shanghai Jiao Tong University
Ningbo University
University of Science and Technology of China
Zhejiang Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

63 引用（Scopus）

摘要

The Painlevé integrability of the 2+1 dimensional AKNS system is proved. Using the standard truncated Painlevé expansion which corresponds to a special Bäcklund transformation, some special types of the localized excitations like the solitoff solutions, multi-dromion solutions and multi-ring soliton solutions are obtained.

源语言	英语
页（从-至）	473-478
页数	6
期刊	European Physical Journal B
卷	22
期	4
DOI	https://doi.org/10.1007/s100510170097
出版状态	已出版 - 2 8月 2001
已对外发布	是

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title = "Painlev{\'e} integrability and multi-dromion solutions of the 2+1 dimensional AKNS system",

abstract = "The Painlev{\'e} integrability of the 2+1 dimensional AKNS system is proved. Using the standard truncated Painlev{\'e} expansion which corresponds to a special B{\"a}cklund transformation, some special types of the localized excitations like the solitoff solutions, multi-dromion solutions and multi-ring soliton solutions are obtained.",

keywords = "02.30.Ik integrable systems, 02.30.Jr partial differential equations, 05.45.Yv solitons",

author = "Lou, \{Sen Yue\} and Ji Lin and Tang, \{Xiao Yan\}",

year = "2001",

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AU - Lou, Sen Yue

AU - Lin, Ji

AU - Tang, Xiao Yan

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N2 - The Painlevé integrability of the 2+1 dimensional AKNS system is proved. Using the standard truncated Painlevé expansion which corresponds to a special Bäcklund transformation, some special types of the localized excitations like the solitoff solutions, multi-dromion solutions and multi-ring soliton solutions are obtained.

AB - The Painlevé integrability of the 2+1 dimensional AKNS system is proved. Using the standard truncated Painlevé expansion which corresponds to a special Bäcklund transformation, some special types of the localized excitations like the solitoff solutions, multi-dromion solutions and multi-ring soliton solutions are obtained.

KW - 02.30.Ik integrable systems

KW - 02.30.Jr partial differential equations

KW - 05.45.Yv solitons

UR - https://www.scopus.com/pages/publications/0042493130

U2 - 10.1007/s100510170097

DO - 10.1007/s100510170097

M3 - 文章

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JO - European Physical Journal B

JF - European Physical Journal B

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Painlevé integrability and multi-dromion solutions of the 2+1 dimensional AKNS system

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