Integral and integrable algorithms for a nonlinear shallow-water wave equation

2006/02/09 by Roberto Camassa, Jingfang Huang, Long Lee · 33 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Differential equation #Fluid Dynamics Simulations and Interactions #Integrable system #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Numerical analysis #Ocean Waves and Remote Sensing #Ordinary differential equation #Physics

paper · doi:10.1016/j.jcp.2005.12.013

published in Journal of Computational Physics 216(2), 547-572 (Elsevier BV)

openalex publication_date 2006/02/09 · crossref created 2006/02/09 · crossref issued 2006/08/01 · crossref published 2006/08/01 · crossref published-print 2006/08/01 · crossref deposited 2019/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06 · crossref indexed 2026/02/28

Citations

• A New Integrable Shallow Water Equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

Cited by

• Multi-symplectic integration of the Camassa–Holm equation
• GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Convergence of a Finite Difference Scheme for the Camassa–Holm Equation
• A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General H¹ Initial Data
• A convergent numerical scheme for the Camassa--Holm equation based on multipeakons
• On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation
• Camassa–Holm equation [wikipedia]