Governing equations of envelope surface created by nearly bichromatic waves propagating on an elastic plate and their stability

DOI10.1007/BF03167478zbMath1216.74009MaRDI QIDQ1774294

Ben T. Nohara

Publication date: 29 April 2005

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationenvelopeelastic platewavepacketnearly bichromatic wavesnearly monochromatic waves

Mathematics Subject Classification ID

Plates (74K20) Linear waves in solid mechanics (74J05)

Related Items (2)

On the quintic nonlinear Schrödinger equation created by the vibrations of a square plate on a weakly nonlinear elastic foundation and the stability of the uniform solution ⋮ Governing equations of envelopes created by nearly bichromatic waves and relation to the nonlinear Schrödinger equation

Cites Work

• A comment on governing equations of envelope surface created by a two-dimensional directional wavepacket centered around a propagation direction on an elastic plate
• Derivation and consideration of governing equations of the envelope surface created by directional, nearly monochromatic waves
• Statistical properties of wave groups in a random sea state
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