A plethora of generalised solitary gravity–capillary water waves
From MaRDI portal
Publication:2797059
DOI10.1017/jfm.2015.616zbMath1382.76029arXiv1411.5519OpenAlexW1934416628MaRDI QIDQ2797059
Didier Clamond, A. Durán, Denys Dutykh
Publication date: 30 March 2016
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.5519
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items
New exact relations for steady irrotational two-dimensional gravity and capillary surface waves ⋮ Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth ⋮ On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime ⋮ Efficient computation of capillary-gravity generalised solitary waves ⋮ Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves ⋮ Gravity-Capillary and Flexural-Gravity Solitary Waves ⋮ Exact two-dimensional multi-hump waves on water of finite depth with small surface tension ⋮ The Existence of Three-Dimensional Multi-Hump Gravity-Capillary Surface Waves on Water of Finite Depth
Cites Work
- Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure
- The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
- The regularity and local bifurcation of steady periodic water waves
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
- Fast accurate computation of the fully nonlinear solitary surface gravity waves
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
- Dynamics of steep two-dimensional gravity–capillary solitary waves
- Solitary and periodic gravity—capillary waves of finite amplitude
- Exact solitary water waves with capillary ripples at infinity
- A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth
- On the Maslov index of multi-pulse homoclinic orbits
- Gravity–Capillary Free-Surface Flows
- A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- Instabilities of finite-amplitude water waves
- Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
- Do true elevation gravity–capillary solitary waves exist? A numerical investigation
- Asymptotic theory for the almost-highest solitary wave
- A global investigation of solitary-wave solutions to a two-parameter model for water waves
- Weakly nonlocal gravity–capillary solitary waves
- Cnoidal-type surface waves in deep water
- Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
- Steady finite-amplitude waves on a horizontal seabed of arbitrary depth
- A method for the solution of certain non-linear problems in least squares
- On the formation of bound states by interacting nonlocal solitary waves