High-order strongly nonlinear long wave approximation and solitary wave solution
DOI10.1017/jfm.2022.544zbMath1493.76023OpenAlexW4285801338WikidataQ114118074 ScholiaQ114118074MaRDI QIDQ5089534
Publication date: 19 July 2022
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jfm.2022.544
solitary waveiterative schemedispersion relationpseudo-spectral methodcharacteristic wavelengthfinite Fourier seriessurface gravity wavesmall parameter expansion
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25) Spectral methods applied to problems in fluid mechanics (76M22)
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Cites Work
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- An iterative method to solve a regularized model for strongly nonlinear long internal waves
- Numerical simulation of gravity waves
- On the steady solitary-wave solution of the Green-Naghdi equations of different levels
- Nonlinear waves and solitons in water
- Hamiltonian formulation of the extended Green-Naghdi equations
- A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth
- The stability of solitary waves
- Instability and breaking of a solitary wave
- A high-order spectral method for the study of nonlinear gravity waves
- On the mass, momentum, energy and circulation of a solitary wave. II
- A derivation of equations for wave propagation in water of variable depth
- Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
- Accuracy and convergence of velocity formulations for water waves in the framework of Boussinesq theory
- Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
- A new Boussinesq method for fully nonlinear waves from shallow to deep water
- A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
- A new approach to high-order Boussinesq models
- Fully nonlinear internal waves in a two-fluid system
- Trough instabilities in Boussinesq formulations for water waves
- A new instability for Boussinesq-type equations
- A regularized model for strongly nonlinear internal solitary waves
- High-Order Davies' Approximation for a Solitary Wave Solution in Packham's Complex Plane
- Hamiltonian structure for two-dimensional extended Green–Naghdi equations
- The solitary wave in water of variable depth. Part 2
- A ninth-order solution for the solitary wave
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