Multi-symplectic integration of the Camassa–Holm equation

2008/02/12 by David Cohen, Brynjulf Owren, Xavier Raynaud · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Camassa–Holm equation #Conservation law #Diffeomorphism #Discretization #Geodesic #Hamiltonian (control theory) #Hamiltonian system #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Peakon #Pure mathematics #Symplectic geometry

paper · doi:10.1016/j.jcp.2008.01.051

openalex publication_date 2008/02/12 · crossref created 2008/02/12 · crossref issued 2008/05/01 · crossref published 2008/05/01 · crossref published-print 2008/05/01 · crossref deposited 2020/05/01 · openalex created_date 2025/10/10 · crossref indexed 2026/03/21 · openalex updated_date 2026/07/15

Citations

• A New Integrable Shallow Water Equation
• Numerical simulation of Camassa–Holm peakons by adaptive upwinding
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Global Conservative Solutions of the Camassa–Holm Equation
• Global Weak Solutions for a Shallow Water Equation
• On the Cauchy problem for the Camassa–Holm equation
• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Integral and integrable algorithms for a nonlinear shallow-water wave equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Geodesic flow on the diffeomorphism group of the circle
• On the Metrics and Euler-Lagrange Equations of Computational Anatomy
• Multisymplectic formulation of fluid dynamics using the inverse map
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

Cited by

• Camassa–Holm equation [wikipedia]