Modulational instability in the full-dispersion Camassa–Holm equation

DOI10.1098/rspa.2017.0153zbMath1404.35389arXiv1702.08708OpenAlexW2594456341WikidataQ52384021 ScholiaQ52384021MaRDI QIDQ4561990

Vera Mikyoung Hur, Ashish Kumar Pandey

Publication date: 14 December 2018

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

Full work available at URL: https://arxiv.org/abs/1702.08708

zbMATH Keywords

surface tensionmodulational instabilityCamassa-Holmfull dispersion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Traveling wave solutions (35C07)

Related Items (3)

Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves ⋮ Numerical bifurcation and stability for the capillary-gravity Whitham equation ⋮ The effects of surface tension on modulational instability in full-dispersion water-wave models

Cites Work

• Modulational instability in the Whitham equation with surface tension and vorticity
• A proof of the Benjamin-Feir instability
• Modulational instability in nonlinear nonlocal equations of regularized long wave type
• On two-dimensional packets of capillary-gravity waves
• Modulational Instability in the Whitham Equation for Water Waves
• The disintegration of wave trains on deep water Part 1. Theory
• Non-linear dispersion of water waves
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