TY - JOUR
T1 - Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation
AU - DAI, Hui-Hui
AU - PAVLOV, Maxim
PY - 1998/11/15
Y1 - 1998/11/15
N2 - 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.
AB - 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.
KW - Camassa-Holm equation
KW - Hunter-Saxton equation
KW - reciprocal transformation
KW - Sinh-Gordon equation
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U2 - 10.1143/JPSJ.67.3655
DO - 10.1143/JPSJ.67.3655
M3 - 21_Publication in refereed journal
VL - 67
SP - 3655
EP - 3657
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 11
ER -