The stability of the governing equation of envelope surface created by nearly bichromatic waves propagating on an elastic plate

DOI10.1016/j.na.2004.09.010zbMath1224.35398OpenAlexW2049994468MaRDI QIDQ1000029

Akio Arimoto, Ben T. Nohara

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.010

zbMATH Keywords

Schrödinger equationenvelopeelastic platenearly bichromatic wavesnearly monochromatic waves

Mathematics Subject Classification ID

Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

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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
• Perturbation methods and non-linear hyperbolic waves
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