1998/11/01 by Hui–Hui Dai, M. V. Pavlov · 80 citations
Physics and Astronomy · Mathematics · Chemistry · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Camassa–Holm equation #Transformation (genetics) #Limit (mathematics) #Integrable system #Mathematical physics #Integro-differential equation #Summation equation #Reciprocal #Burgers' equation #Mathematical analysis #Physics #Mathematics #Riccati equation #Partial differential equation #Chemistry
paper · doi:10.1143/jpsj.67.3655
published in Journal of the Physical Society of Japan 67(11), 3655-3657 (Physical Society of Japan)
openalex publication_date 1998/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
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.