Nonlocal Symmetries and Finite Transformations of the Fifth-Order KdV Equation

Xiazhi Hao; Yinping Liu; Xiaoyan Tang; Zhibin Li

doi:10.1515/zna-2017-0017

Nonlocal Symmetries and Finite Transformations of the Fifth-Order KdV Equation

Xiazhi Hao^*
, Yinping Liu
, Xiaoyan Tang
, Zhibin Li

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

The n^th finite transformations of the fifth-order KdV equation are obtained from the Lie point symmetry approach via localisation of nonlocal symmetries to local ones of the enlarged system. Through the obtained transformations, some periodic and soliton solutions are derived.

源语言	英语
页（从-至）	441-448
页数	8
期刊	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
卷	72
期	5
DOI	https://doi.org/10.1515/zna-2017-0017
出版状态	已出版 - 1 5月 2017

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title = "Nonlocal Symmetries and Finite Transformations of the Fifth-Order KdV Equation",

abstract = "The nth finite transformations of the fifth-order KdV equation are obtained from the Lie point symmetry approach via localisation of nonlocal symmetries to local ones of the enlarged system. Through the obtained transformations, some periodic and soliton solutions are derived.",

keywords = "Finite Transformations, Lie Point Symmetry, Nonlocal Symmetries",

author = "Xiazhi Hao and Yinping Liu and Xiaoyan Tang and Zhibin Li",

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T1 - Nonlocal Symmetries and Finite Transformations of the Fifth-Order KdV Equation

AU - Hao, Xiazhi

AU - Liu, Yinping

AU - Tang, Xiaoyan

AU - Li, Zhibin

PY - 2017/5/1

Y1 - 2017/5/1

N2 - The nth finite transformations of the fifth-order KdV equation are obtained from the Lie point symmetry approach via localisation of nonlocal symmetries to local ones of the enlarged system. Through the obtained transformations, some periodic and soliton solutions are derived.

AB - The nth finite transformations of the fifth-order KdV equation are obtained from the Lie point symmetry approach via localisation of nonlocal symmetries to local ones of the enlarged system. Through the obtained transformations, some periodic and soliton solutions are derived.

KW - Finite Transformations

KW - Lie Point Symmetry

KW - Nonlocal Symmetries

UR - https://www.scopus.com/pages/publications/85019004288

U2 - 10.1515/zna-2017-0017

DO - 10.1515/zna-2017-0017

M3 - 文章

AN - SCOPUS:85019004288

SN - 0932-0784

VL - 72

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JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

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Nonlocal Symmetries and Finite Transformations of the Fifth-Order KdV Equation

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