An integral equation approach to internal (2-layer) solitary waves

DOI10.1063/1.869006zbMath1027.76509OpenAlexW2059761131MaRDI QIDQ4426464

Matthew J. Ford, W. A. B. Evans

Publication date: 9 January 2004

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.869006

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55)

Related Items

Numerical computation of solitary waves in a two-layer fluid ⋮ A multi-layer model for nonlinear internal wave propagation in shallow water ⋮ Large mode-2 internal solitary waves in three-layer flows ⋮ Transverse instability of interfacial solitary waves ⋮ Beyond the KdV: Post-explosion development ⋮ Nonlinear travelling periodic waves for the Euler equations in three-layer flows ⋮ Solitary waves and conjugate flows in a three-layer fluid. ⋮ Internal solitons in laboratory experiments: Comparison with theoretical models ⋮ Conjugate flows for a three-layer fluid ⋮ Conjugate flows for waves with trapped cores ⋮ A Boussinesq system for two-way propagation of interfacial waves ⋮ Two-layer hydraulic falls over an obstacle ⋮ Conjugate flows and flat solitary waves for a continuously stratified fluid ⋮ Remarks on a Strongly Nonlinear Model for Two-Layer Flows with a Top Free Surface ⋮ The surface signature of internal waves

Cites Work

• Algebraic Solitary Waves in Stratified Fluids
• An exact integral equation for solitary waves (with new numerical results for some ‘internal’ properties)
• Overhanging interfacial gravity waves of large amplitude
• Applications of Hermite-Pade approximants to water waves and the harmonic oscillator on a lattice
• The stability of solitary waves
• Broadening of interfacial solitary waves
• On the mass, momentum, energy and circulation of a solitary wave
• On the mass, momentum, energy and circulation of a solitary wave. II
• On the speed and profile of steep solitary waves
• Extension of numerical quadrature formulae to cater for end point singular behaviours over finite intervals
• The modulation of short waves riding on solitary waves
• Internal waves of finite amplitude and permanent form
• Internal waves of permanent form in fluids of great depth
• A ninth-order solution for the solitary wave