Travelling waves in the Boussinesq type systems
From MaRDI portal
Publication:2144794
DOI10.1016/j.matpur.2022.04.006zbMath1491.35334arXiv2011.09543OpenAlexW3098701721MaRDI QIDQ2144794
Publication date: 15 June 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.09543
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
Cites Work
- Existence of traveling-wave solutions to Boussinesq systems.
- Numerical study of a nonlocal model for water-waves with variable depth
- On well-posedness of a dispersive system of the Whitham-Boussinesq type
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- A comparative study of bi-directional Whitham systems
- Solitary wave solutions of a Whitham-Boussinesq system
- A note on well-posedness of bidirectional Whitham equation
- Solitary-wave solutions to Boussinesq systems with large surface tension
- Solitary wave solutions to a class of Whitham-Boussinesq systems
- On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type
- LOW REGULARITY WELL-POSEDNESS OF THE DIRAC–KLEIN–GORDON EQUATIONS IN ONE SPACE DIMENSION
- Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
- BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
- Modulational instability in a full‐dispersion shallow water model
- Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models
- Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type
This page was built for publication: Travelling waves in the Boussinesq type systems
