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.
| Original language | English |
|---|---|
| Pages (from-to) | 3655-3657 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 67 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 15 Nov 1998 |
Research Keywords
- Camassa-Holm equation
- Hunter-Saxton equation
- reciprocal transformation
- Sinh-Gordon equation
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