Nonlocal symmetry and explicit solutions for Drinfel’d-Sokolov-Wilson system

Bo Ren; Zhi Mei Lou; Zu Feng Liang; Xiao Yan Tang

doi:10.1140/epjp/i2016-16441-7

Nonlocal symmetry and explicit solutions for Drinfel’d-Sokolov-Wilson system

Bo Ren^*
, Zhi Mei Lou
, Zu Feng Liang
, Xiao Yan Tang

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

30 引用（Scopus）

摘要

Based on the truncated Painlevé method and the Möbius (conformal) invariant form, the nonlocal symmetry for the Drinfel’d-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.

源语言	英语
文章编号	441
期刊	European Physical Journal Plus
卷	131
期	12
DOI	https://doi.org/10.1140/epjp/i2016-16441-7
出版状态	已出版 - 1 12月 2016

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10.1140/epjp/i2016-16441-7

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title = "Nonlocal symmetry and explicit solutions for Drinfel{\textquoteright}d-Sokolov-Wilson system",

abstract = "Based on the truncated Painlev{\'e} method and the M{\"o}bius (conformal) invariant form, the nonlocal symmetry for the Drinfel{\textquoteright}d-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.",

author = "Bo Ren and Lou, \{Zhi Mei\} and Liang, \{Zu Feng\} and Tang, \{Xiao Yan\}",

note = "Publisher Copyright: {\textcopyright} 2016, Societ{\`a} Italiana di Fisica and Springer-Verlag Berlin Heidelberg.",

year = "2016",

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doi = "10.1140/epjp/i2016-16441-7",

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AU - Ren, Bo

AU - Lou, Zhi Mei

AU - Liang, Zu Feng

AU - Tang, Xiao Yan

PY - 2016/12/1

Y1 - 2016/12/1

N2 - Based on the truncated Painlevé method and the Möbius (conformal) invariant form, the nonlocal symmetry for the Drinfel’d-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.

AB - Based on the truncated Painlevé method and the Möbius (conformal) invariant form, the nonlocal symmetry for the Drinfel’d-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.

UR - https://www.scopus.com/pages/publications/85006955776

U2 - 10.1140/epjp/i2016-16441-7

DO - 10.1140/epjp/i2016-16441-7

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SN - 2190-5444

VL - 131

JO - European Physical Journal Plus

JF - European Physical Journal Plus

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ER -

Nonlocal symmetry and explicit solutions for Drinfel’d-Sokolov-Wilson system

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