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

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Original languageEnglish
Pages (from-to)3655-3657
Journal / PublicationJournal of the Physical Society of Japan
Issue number11
Publication statusPublished - 15 Nov 1998


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