@article{3efaf56cbe694ca39fb088757ce4cd85, title = "Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation", 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.", keywords = "Camassa-Holm equation, Hunter-Saxton equation, reciprocal transformation, Sinh-Gordon equation", author = "Hui-Hui DAI and Maxim PAVLOV", year = "1998", month = nov, day = "15", doi = "10.1143/JPSJ.67.3655", language = "English", volume = "67", pages = "3655--3657", journal = "Journal of the Physical Society of Japan", issn = "0031-9015", publisher = "Institute of Pure and Applied Physics", number = "11", }