Differential Invariants of the (2+1)-Dimensional Breaking Soliton Equation

Zhong Han; Yong Chen

doi:10.1515/zna-2016-0209

Differential Invariants of the (2+1)-Dimensional Breaking Soliton Equation

Zhong Han
, Yong Chen^*

^*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

摘要

We construct the differential invariants of Lie symmetry pseudogroups of the (2+1)-dimensional breaking soliton equation and analyze the structure of the induced differential invariant algebra. Their syzygies and recurrence relations are classified. In addition, a moving frame and the invariantization of the breaking soliton equation are also presented. The algorithms are based on the method of equivariant moving frames.

源语言	英语
页（从-至）	855-862
页数	8
期刊	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
卷	71
期	9
DOI	https://doi.org/10.1515/zna-2016-0209
出版状态	已出版 - 1 9月 2016

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abstract = "We construct the differential invariants of Lie symmetry pseudogroups of the (2+1)-dimensional breaking soliton equation and analyze the structure of the induced differential invariant algebra. Their syzygies and recurrence relations are classified. In addition, a moving frame and the invariantization of the breaking soliton equation are also presented. The algorithms are based on the method of equivariant moving frames.",

keywords = "(2+1)-Dimensional Breaking Soliton Equation, Differential Invariants, Lie Pseudogroup, Moving Frames, Symmetry Group",

author = "Zhong Han and Yong Chen",

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N2 - We construct the differential invariants of Lie symmetry pseudogroups of the (2+1)-dimensional breaking soliton equation and analyze the structure of the induced differential invariant algebra. Their syzygies and recurrence relations are classified. In addition, a moving frame and the invariantization of the breaking soliton equation are also presented. The algorithms are based on the method of equivariant moving frames.

AB - We construct the differential invariants of Lie symmetry pseudogroups of the (2+1)-dimensional breaking soliton equation and analyze the structure of the induced differential invariant algebra. Their syzygies and recurrence relations are classified. In addition, a moving frame and the invariantization of the breaking soliton equation are also presented. The algorithms are based on the method of equivariant moving frames.

KW - (2+1)-Dimensional Breaking Soliton Equation

KW - Differential Invariants

KW - Lie Pseudogroup

KW - Moving Frames

KW - Symmetry Group

UR - https://www.scopus.com/pages/publications/84985987265

U2 - 10.1515/zna-2016-0209

DO - 10.1515/zna-2016-0209

M3 - 文章

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SN - 0932-0784

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

IS - 9

ER -

Differential Invariants of the (2+1)-Dimensional Breaking Soliton Equation

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