Inverse Spectral Problem for the Periodic Camassa-Holm Equation

DOI10.2991/jnmp.2004.11.4.6zbMath1069.35093OpenAlexW2096717759MaRDI QIDQ4653188

Evgeny L. Korotyaev

Publication date: 7 March 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2004.11.4.6

zbMATH Keywords

uniquenessa priori estimatesreconstructiongeodesic flow on the diffeomorphism groupmotion of solitary waves on shallow water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30)

Related Items (4)

Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential ⋮ On the integration of the periodic Camassa-Holm equation with an integral-type source ⋮ Unnamed Item ⋮ Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow

Cites Work

• Gaps and bands of one dimensional periodic Schrödinger operators
• Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
• On the inverse spectral problem for the Camassa-Holm equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Inverse problem and the trace formula for the Hill operator. II
• The estimates of periodic potentials in terms of effective masses
• On the spectral problem for the periodic Camassa-Holm equation
• The inverse problem for the Hill operator. A direct approach
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• The Marchenko--Ostrovski mapping and the trace formula for the Camassa--Holm equation.
• Geodesic flow on the diffeomorphism group of the circle
• Global weak solutions for a shallow water equation
• Breakdown of a shallow water equation
• Periodic ``weighted operators
• Effective masses and conformal mappings
• Inverse problem for periodic ``weighted operators
• Estimates for the Hill operator. I
• On the scattering problem for the Camassa-Holm equation
• A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
• The inverse problem for periodic potentials
• A shallow water equation on the circle
• On the geometric approach to the motion of inertial mechanical systems
• An integrable shallow water equation with peaked solitons
• Parametrization of periodic weighted operators in terms of gap lengths
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inverse Spectral Problem for the Periodic Camassa-Holm Equation