Reciprocal Transformations of Two Camassa-Holm Type Equations

Hong Min Li; Yu Qi Li; Yong Chen

doi:10.1088/0253-6102/64/6/619

Reciprocal Transformations of Two Camassa-Holm Type Equations

Hong Min Li
, Yu Qi Li
, Yong Chen

School of Mathematical Sciences

East China Normal University

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

5 Scopus citations

Abstract

The relation between the Camassa-Holm equation and the Olver-Rosenau-Qiao equation is obtained, and we connect a new Camassa-Holm type equation proposed by Qiao etc. with the first negative flow of the KdV hierarchy by a reciprocal transformation.

Original language	English
Pages (from-to)	619-622
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	64
Issue number	6
DOIs	https://doi.org/10.1088/0253-6102/64/6/619
State	Published - 1 Dec 2015

Keywords

Bi-Hamiltonian structure
CamassaHolm system
Reciprocal transformation

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10.1088/0253-6102/64/6/619

Cite this

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title = "Reciprocal Transformations of Two Camassa-Holm Type Equations",

abstract = "The relation between the Camassa-Holm equation and the Olver-Rosenau-Qiao equation is obtained, and we connect a new Camassa-Holm type equation proposed by Qiao etc. with the first negative flow of the KdV hierarchy by a reciprocal transformation.",

keywords = "Bi-Hamiltonian structure, CamassaHolm system, Reciprocal transformation",

author = "Li, \{Hong Min\} and Li, \{Yu Qi\} and Yong Chen",

note = "Publisher Copyright: {\textcopyright} 2015 Chinese Physical Society and IOP Publishing Ltd.",

year = "2015",

month = dec,

day = "1",

doi = "10.1088/0253-6102/64/6/619",

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T1 - Reciprocal Transformations of Two Camassa-Holm Type Equations

AU - Li, Hong Min

AU - Li, Yu Qi

AU - Chen, Yong

PY - 2015/12/1

Y1 - 2015/12/1

N2 - The relation between the Camassa-Holm equation and the Olver-Rosenau-Qiao equation is obtained, and we connect a new Camassa-Holm type equation proposed by Qiao etc. with the first negative flow of the KdV hierarchy by a reciprocal transformation.

AB - The relation between the Camassa-Holm equation and the Olver-Rosenau-Qiao equation is obtained, and we connect a new Camassa-Holm type equation proposed by Qiao etc. with the first negative flow of the KdV hierarchy by a reciprocal transformation.

KW - Bi-Hamiltonian structure

KW - CamassaHolm system

KW - Reciprocal transformation

UR - https://www.scopus.com/pages/publications/84953862307

U2 - 10.1088/0253-6102/64/6/619

DO - 10.1088/0253-6102/64/6/619

M3 - 文章

AN - SCOPUS:84953862307

SN - 0253-6102

VL - 64

SP - 619

EP - 622

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 6

ER -

Reciprocal Transformations of Two Camassa-Holm Type Equations

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Keywords

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