Diamond shaped standing wave patterns of a two-dimensional Boussinesq system

DOI10.1016/J.APNUM.2018.07.004zbMath1420.35246OpenAlexW2884975614MaRDI QIDQ2000089

Shenghao Li, Min Chen

Publication date: 27 June 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.07.004

zbMATH Keywords

Boussinesq systemwater wavesbifurcation standing wave patterns

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items (1)

The Boussinesq systems on the background of a line solitary wave

Cites Work

• Existence of multimodal standing gravity waves
• Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems
• Multimodal standing gravity waves: a completely resonant system
• Standing waves for a two-way model system for water waves
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Periodic wave patterns of two-dimensional Boussinesq systems
• Standing waves on an infinitely deep perfect fluid under gravity
• Long wave approximations for water waves
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
• Nash-Moser theory for standing water waves.

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