Nonlinear modulation of wave packets in a shallow shell on an elastic foundation.

DOI10.1016/S0165-2125(01)00070-1zbMath1074.74583MaRDI QIDQ5960643

Joël Pouget, Bernard A. Collet

Publication date: 8 April 2002

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

variational principlenonlinear Schrödinger equationreductive perturbation methodmodulational instability

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Nonlinear waves in solid mechanics (74J30) Shells (74K25)

Related Items (1)

Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications

Cites Work

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• Envelope solitary Rossby waves and modulational instabilities of uniform Rossby wave trains in two space dimensions
• Non-linear dynamic response of a doubly curved shallow shell on an elastic foundation
• Nonlinear Dynamics of Deep-Water Gravity Waves
• Non-linear vibrations of a shallow cylindrical panel on a non-linear elastic foundation
• The Post-Buckling Problem for Thin Elastic Shells
• Curvature effects on shallow shell vibrations
• On transverse vibrations of thin, shallow elastic shells

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