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

School of Mathematical Sciences

East China Normal University

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

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	441-448
Number of pages	8
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	72
Issue number	5
DOIs	https://doi.org/10.1515/zna-2017-0017
State	Published - 1 May 2017

Keywords

Finite Transformations
Lie Point Symmetry
Nonlocal Symmetries

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10.1515/zna-2017-0017

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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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year = "2017",

month = may,

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doi = "10.1515/zna-2017-0017",

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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

SP - 441

EP - 448

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

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

IS - 5

ER -

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

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Keywords

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