Transformations for the Camassa-Holm Equation,Its High-Frequency Limit and the Sinh-Gordon Equation
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概要
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In this article we present a new transformation between two integrable hierarchies of theCattaassa-Holm equation and the Htrnter-Saxton eqtration. For instance we present a transfor-mation between the Harry-Dyrn equation and the extended Harry-Dyzn equation. lVIoreover, wedescribe a relationship between the Hunter-Saxton equation, which is the high-f'requency limitof the Camassa-Holm equation, and the Sinh-Gordon equation by a reciprocal transf'ornaation.
- 社団法人日本物理学会の論文
- 1998-11-15
著者
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Pavlov Maxim
Department Of Mathematics City University Of Hong Kong
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DAI Hui-Hui
Department of Mathematics, City University of Hong Kong
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Dai Hui-hui
Department Of Mathematics City University Of Hong Kong
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PAVLOV Maxim
Department of Mathematics,City University of Hong Kong
関連論文
- Singular Dynamics with Application to Singular Waves in Physical Problems (General)
- Transformations for the Camassa-Holm Equation,Its High-Frequency Limit and the Sinh-Gordon Equation
- New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation
- Exact Solutions of a Variable-Coefficient KdV Equation Arising in a Shallow Water