R. S. Johnson
- Camassa–Holm, Korteweg–de Vries and related models for water waves
2002/03/25 by R. S. Johnson · 23 citations
Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Ocean Waves and Remote Sensing #Camassa–Holm equation #Korteweg–de Vries equation #Mathematics #Mathematical analysis #Context (archaeology) #Independent equation #Shallow water equations #Initial value problem #Dispersionless equation #Physics #Nonlinear system #Differential equation #Kadomtsev–Petviashvili equation #Integrable system #Characteristic equation #Geology
- On solutions of the Camassa-Holm equation
2003/07/08 by R. S. Johnson · 6 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Algebraic structures and combinatorial models #Peakon #Camassa–Holm equation #Limit (mathematics) #Maple #Simple (philosophy) #Inverse scattering transform #Soliton #Parametric statistics #Applied mathematics #Mathematics #Parametric equation #Inverse scattering problem #Mathematical analysis #Inverse problem #Physics #Integrable system #Nonlinear system #Geometry
- The Camassa–Holm equation for water waves moving over a shear flow
2003/05/13 by R. S. Johnson · 4 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Advanced Mathematical Physics Problems #Vorticity #Shear flow #Flow (mathematics) #Shear (geology) #Amplitude #Mathematics #Mathematical analysis #Physics #Mechanics #Classical mechanics #Geology #Vortex
- The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations
2003/01/01 by R. S. Johnson · 1 citation
Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Nonlinear Photonic Systems #Integrable system #Mathematics #Dispersionless equation #Mathematical physics #Camassa–Holm equation #Mathematical analysis #Pure mathematics #Partial differential equation #Kadomtsev–Petviashvili equation