On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime

DOI10.1016/j.physleta.2017.03.041zbMath1374.76037arXiv1611.02115OpenAlexW2556400032MaRDI QIDQ1680208

Aydar Assylbekuly, Denys Dutykh, Dauren Zhakebayev, Dimitrios Mitsotakis

Publication date: 23 November 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02115

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves in solid mechanics (74J35) Traveling wave solutions (35C07)

Related Items (4)

Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations ⋮ On the blow-up scenario for some modified Serre-Green-Naghdi equations ⋮ Bifurcations of Traveling Wave Solutions for Fully Nonlinear Water Waves with Surface Tension in the Generalized Serre–Green–Naghdi Equations ⋮ Well-posedness and derivative blow-up for a dispersionless regularized shallow water system

Cites Work

• Unnamed Item
• Travelling wave solutions for some two-component shallow water models
• On the Galerkin/finite-element method for the Serre equations
• Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
• Peakons of the Camassa-Holm equation
• Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
• On the fully-nonlinear shallow-water generalized Serre equations
• A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems
• A plethora of generalised solitary gravity–capillary water waves
• Gravity–Capillary Free-Surface Flows
• A Note on Resonance and Nonlinear Dispersive Waves
• The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments
• An integrable shallow water equation with peaked solitons
• Error Estimates for Galerkin Approximations of the Serre Equations
• Algebraic method for constructing singular steady solitary waves: a case study

This page was built for publication: On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime