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

^*Corresponding author for this work

School of Mathematical Sciences

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

30 Scopus citations

Abstract

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.

Original language	English
Article number	441
Journal	European Physical Journal Plus
Volume	131
Issue number	12
DOIs	https://doi.org/10.1140/epjp/i2016-16441-7
State	Published - 1 Dec 2016

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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

M3 - 文章

AN - SCOPUS:85006955776

SN - 2190-5444

VL - 131

JO - European Physical Journal Plus

JF - European Physical Journal Plus

IS - 12

M1 - 441

ER -

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

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