Wave breaking for periodic solutions of a nonlinear shallow water equation

DOI10.1080/00036811.2020.1750603zbMath1490.35297OpenAlexW3020221329MaRDI QIDQ5065517

Andrea Staino, Biswajit Basu, Susanna V. Haziot

Publication date: 22 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1750603

zbMATH Keywords

nonlinear waveswave breakingshallow water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Wave breaking for nonlinear nonlocal shallow water equations
• On the blow-up of solutions of a periodic shallow water equation
• Wave breaking of periodic solutions to the Fornberg-Whitham equation
• Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude
• An integrable shallow water equation with peaked solitons