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

^*Corresponding author for this work

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

62 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	473-478
Number of pages	6
Journal	European Physical Journal B
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s100510170097
State	Published - 2 Aug 2001
Externally published	Yes

Keywords

02.30.Ik integrable systems
02.30.Jr partial differential equations
05.45.Yv solitons

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10.1007/s100510170097

Cite this

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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",

month = aug,

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doi = "10.1007/s100510170097",

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pages = "473--478",

journal = "European Physical Journal B",

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AU - Lou, Sen Yue

AU - Lin, Ji

AU - Tang, Xiao Yan

PY - 2001/8/2

Y1 - 2001/8/2

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

AN - SCOPUS:0042493130

SN - 1434-6028

VL - 22

SP - 473

EP - 478

JO - European Physical Journal B

JF - European Physical Journal B

IS - 4

ER -

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

Abstract

Keywords

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