Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

Huan Ping Zhang; Yong Chen; Biao Li

Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

Huan Ping Zhang
, Yong Chen^*
, Biao Li

^*Corresponding author for this work

Ningbo University

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

24 Scopus citations

Abstract

Integrability condition of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation are obtained by Painléve-test. Based on this condition and Painléve-test, the bilinear form of GCBS equation is found. Towards this bilinear form infinitely many formal series symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.

Original language	English
Pages (from-to)	7393-7396
Number of pages	4
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	58
Issue number	11
State	Published - Nov 2009
Externally published	Yes

Keywords

Generalized Calogero-Bogoyavlenskii-Schiff equation
Infinitely many symmetries
Symmetry reduction
Truncated symmetries

Cite this

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title = "Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation",

abstract = "Integrability condition of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation are obtained by Painl{\'e}ve-test. Based on this condition and Painl{\'e}ve-test, the bilinear form of GCBS equation is found. Towards this bilinear form infinitely many formal series symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.",

keywords = "Generalized Calogero-Bogoyavlenskii-Schiff equation, Infinitely many symmetries, Symmetry reduction, Truncated symmetries",

author = "Zhang, \{Huan Ping\} and Yong Chen and Biao Li",

year = "2009",

month = nov,

language = "英语",

volume = "58",

pages = "7393--7396",

journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

AU - Zhang, Huan Ping

AU - Chen, Yong

AU - Li, Biao

PY - 2009/11

Y1 - 2009/11

N2 - Integrability condition of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation are obtained by Painléve-test. Based on this condition and Painléve-test, the bilinear form of GCBS equation is found. Towards this bilinear form infinitely many formal series symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.

AB - Integrability condition of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation are obtained by Painléve-test. Based on this condition and Painléve-test, the bilinear form of GCBS equation is found. Towards this bilinear form infinitely many formal series symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.

KW - Generalized Calogero-Bogoyavlenskii-Schiff equation

KW - Infinitely many symmetries

KW - Symmetry reduction

KW - Truncated symmetries

UR - https://www.scopus.com/pages/publications/71249137308

M3 - 文章

AN - SCOPUS:71249137308

SN - 1000-3290

VL - 58

SP - 7393

EP - 7396

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 11

ER -

Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

Abstract

Keywords

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