Stability of the Camassa-Holm solitons

2002/08/01 by Adrian Constantin, Constantin, Strauss · 8 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Camassa–Holm equation #Classical mechanics #Computer science #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Peakon #Physics #Quantum mechanics #Soliton #Stability (learning theory) #Waves and shallow water

paper · doi:10.1007/s00332-002-0517-x

crossref issued 2002/08/01 · crossref published 2002/08/01 · crossref published-print 2002/08/01 · openalex publication_date 2002/08/01 · crossref created 2002/10/06 · openalex created_date 2016/06/24 · crossref deposited 2019/05/28 · openalex updated_date 2026/08/05 · crossref indexed 2026/08/05

Citations

• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

Cited by

• Traveling wave solutions of the Camassa–Holm equation
• The Camassa–Holm equation for water waves moving over a shear flow
• Infinite propagation speed of the Camassa–Holm equation
• Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation
• Evolution of the Scattering Coefficients of the Camassa–Holm Equation, for General Initial Data
• Stability for the periodic Camassa-Holm equation
• Variational derivation of the Camassa-Holm shallow water equation with non-zero vorticity
• Camassa–Holm equation [wikipedia]