Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation

Hui-Hui DAI; Maxim PAVLOV

doi:10.1143/JPSJ.67.3655

Author(s)

Hui-Hui DAI
Maxim PAVLOV

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	3655-3657
Journal / Publication	Journal of the Physical Society of Japan
Volume	67
Issue number	11
Publication status	Published - 15 Nov 1998

Link(s)

DOI	DOI https://doi.org/10.1143/JPSJ.67.3655 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0004456042&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(3efaf56c-be69-4ca3-9fb0-88757ce4cd85).html

Abstract

In this article we present a new transformation between two integrable hierarchies of the Camassa-Holm equation and the Hunter-Saxton equation. For instance we present a transformation between the Harry-Dym equation and the extended Harry-Dym equation. Moreover, we describe a relationship between the Hunter-Saxton equation, which is the high-frequency limit of the Camassa-Holm equation, and the Sinh-Gordon equation by a reciprocal transformation.

Research Area(s)

Camassa-Holm equation, Hunter-Saxton equation, reciprocal transformation, Sinh-Gordon equation

Citation Format(s)

[ RIS ] [ BibTeX ]

Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation. / DAI, Hui-Hui; PAVLOV, Maxim.

In: Journal of the Physical Society of Japan, Vol. 67, No. 11, 15.11.1998, p. 3655-3657.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

DAI, H-H & PAVLOV, M 1998, 'Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation', Journal of the Physical Society of Japan, vol. 67, no. 11, pp. 3655-3657. https://doi.org/10.1143/JPSJ.67.3655

DAI, H-H., & PAVLOV, M. (1998). Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation. Journal of the Physical Society of Japan, 67(11), 3655-3657. https://doi.org/10.1143/JPSJ.67.3655

DAI H-H, PAVLOV M. Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation. Journal of the Physical Society of Japan. 1998 Nov 15;67(11):3655-3657. doi: 10.1143/JPSJ.67.3655

DAI, Hui-Hui ; PAVLOV, Maxim. / Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation. In: Journal of the Physical Society of Japan. 1998 ; Vol. 67, No. 11. pp. 3655-3657.