Fredholm determinants and the Camassa‐Holm hierarchy

2003/02/21 by H. P. McKean, Henry P. McKean · 10 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic structures and combinatorial models #Calculus (dental) #Camassa–Holm equation #Hierarchy #Integrable system #Law #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics

paper · doi:10.1002/cpa.10069

crossref issued 2003/02/21 · crossref published 2003/02/21 · crossref published-online 2003/02/21 · openalex publication_date 2003/02/21 · crossref created 2003/02/24 · crossref published-print 2003/05/01 · crossref deposited 2024/12/11 · openalex created_date 2025/10/10 · crossref indexed 2026/04/08 · openalex updated_date 2026/08/08

Citations

• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Fredholm determinants and inverse scattering problems
• Multipeakons and the Classical Moment Problem

Cited by

• Classical solutions of the periodic Camassa—Holm equation
• Breakdown of the Camassa‐Holm equation
• The Liouville correspondence between the Korteweg—de Vries and the Camassa‐Holm hierarchies
• Equations of Camassa‐Holm type and Jacobi ellipsoidal coordinates
• Genesis of solitons arising from individual Flows of the Camassa‐Holm hierarchy
• Factorization problem on the Hilbert‐Schmidt group and the Camassa‐Holm equation
• Riemann–Hilbert approach for the Camassa–Holm equation on the line
• Near-corner waves of the Camassa–Holm equation
• Global existence of weak solutions to the Camassa-Holm equation
• About the Explicit Characterization of Hamiltonians of the Camassa-Holm Hierarchy
• Camassa–Holm equation [wikipedia]