The geometry of peaked solitons and billiard solutions of a class of integrable PDE's

1994/10/01 by Mark Alber, Mark S. Alber, Roberto Camassa +2 · 171 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Camassa–Holm equation #Complex system #Dynamical billiards #Geodesic #Geometry #Hamiltonian system #Hierarchy #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Peakon #Physics #Quantum mechanics #Quasiperiodic function #Riemann hypothesis #Soliton

paper · doi:10.1007/bf00739423

published in Letters in Mathematical Physics 32(2), 137-151 (Springer Science and Business Media LLC)

crossref issued 1994/10/01 · crossref published 1994/10/01 · crossref published-print 1994/10/01 · openalex publication_date 1994/10/01 · crossref created 2004/12/02 · crossref deposited 2020/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05 · crossref indexed 2026/08/05

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• ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
• Camassa–Holm equation [wikipedia]