Periodic behavior for the parametrically excited Boussinesq equation

DOI10.1016/J.CHAOS.2004.01.019zbMath1062.35085OpenAlexW1983736975MaRDI QIDQ1771490

Attilio Maccari

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.01.019

zbMATH Keywords

asymptotic perturbation methodfrequency-responseexternal force-responseweakly damped Boussinesq equation

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)

Related Items (5)

Coherent solutions for the fundamental resonance of the Boussinesq equation ⋮ Single-mode control and chaos of cantilever beam under primary and principal parametric excitations ⋮ Conditional stability of solitary-wave solutions for generalized Boussinesq equations ⋮ On methods for continuous systems with quadratic, cubic and quartic nonlinearities ⋮ Evolution equation for bidirectional surface waves in a convecting fluid

Cites Work

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• Non-resonant interacting water waves in \(2+1\) dimensions.
• On the Cauchy problem for the damped Boussinesq equation
• Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space
• On spatially periodic solutions of the damped Boussinesq equation
• Approximate particle-like solutions for a nonlinear relativistic scalar complex field model in \(3+1\) dimensions
• Non-resonant interacting ion acoustic waves in a magnetized plasma

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