Multipeakons and the Classical Moment Problem

2000/09/01 by Richard Beals, D. H. Sattinger, David H. Sattinger +1 · 208 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Classical mechanics #Collision #Integrable system #Integral equation #Mathematical analysis #Mathematics #Moment (physics) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Peakon #Physics #Quantum Mechanics and Non-Hermitian Physics #Riemann–Stieltjes integral

paper · doi:10.1006/aima.1999.1883

published in Advances in Mathematics 154(2), 229-257 (Elsevier BV)

crossref issued 2000/09/01 · crossref published 2000/09/01 · crossref published-print 2000/09/01 · openalex publication_date 2000/09/01 · crossref created 2003/05/19 · crossref deposited 2025/09/11 · openalex created_date 2025/10/10 · crossref indexed 2026/08/05 · openalex updated_date 2026/08/08

Citations

• The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
• Wave breaking for nonlinear nonlocal shallow water equations

Cited by

• Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation
• Classical solutions of the periodic Camassa—Holm equation
• Fredholm determinants and the Camassa‐Holm hierarchy
• Wave dynamics for peaked solitons of the Camassa–Holm equation
• Genesis of solitons arising from individual Flows of the Camassa‐Holm hierarchy
• Low-Regularity Solutions of the Periodic Camassa–Holm Equation
• GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General H¹ Initial Data
• Modulation of the Camassa-Holm equation and reciprocal transformations
• About the Explicit Characterization of Hamiltonians of the Camassa-Holm Hierarchy
• Inverse scattering solutions of the hunter-saxton equation
• Camassa–Holm equation [wikipedia]