An exact integral equation for solitary waves (with new numerical results for some ‘internal’ properties)

DOI10.1098/rspa.1996.0020zbMath0870.65136OpenAlexW1993439675MaRDI QIDQ3126140

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

Publication date: 2 September 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0020

zbMATH Keywords

quadrature formula methodpotential flownonlinear first kind integral equationprofile of solitary waves

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Integral equations with miscellaneous special kernels (45H05)

Related Items (12)

The pressure in a deep-water Stokes wave of greatest height ⋮ New exact relations for steady irrotational two-dimensional gravity and capillary surface waves ⋮ Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations ⋮ Short wave phase shifts by large free surface solitary waves: Experiments and models ⋮ Solitary water waves propagating on an underlying uniform current over a finite depth ⋮ On tsunami and the regularized solitary-wave theory ⋮ Fast accurate computation of the fully nonlinear solitary surface gravity waves ⋮ Pressure beneath a solitary water wave: mathematical theory and experiments ⋮ The Benjamin-Lighthill conjecture for near-critical values of Bernoulli's constant ⋮ An integral equation approach to internal (2-layer) solitary waves ⋮ A mathematical model of the Stokes soliton ⋮ High-Order Davies' Approximation for a Solitary Wave Solution in Packham's Complex Plane

This page was built for publication: An exact integral equation for solitary waves (with new numerical results for some ‘internal’ properties)