Orbital stability of solitary waves for a shallow water equation

2001/09/01 by Adrian Constantin, Luc Molinet · 152 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Classical mechanics #Computer science #Constraint (computer-aided design) #Deep water #Geology #Geometry #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Oceanography #Physics #Stability (learning theory) #Thermodynamics #Waves and shallow water

paper · doi:10.1016/s0167-2789(01)00298-6

published in Physica D: Nonlinear Phenomena 157(1-2), 75-89 (Elsevier BV)

crossref issued 2001/09/01 · crossref published 2001/09/01 · crossref published-print 2001/09/01 · openalex publication_date 2001/09/01 · crossref created 2002/10/31 · crossref deposited 2020/01/11 · openalex created_date 2025/10/10 · crossref indexed 2026/07/13 · openalex updated_date 2026/07/23

Citations

• A New Integrable Shallow Water Equation
• XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
• Global Weak Solutions for a Shallow Water Equation
• Orbital stability of standing waves for some nonlinear Schr�dinger equations
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Wave breaking for nonlinear nonlocal shallow water equations

Cited by

• Traveling wave solutions of the Camassa–Holm equation
• GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Global existence of weak solutions to the Camassa-Holm equation
• Stability for the periodic Camassa-Holm equation
• Camassa–Holm equation [wikipedia]