Amplitude modulation of water waves governed by Boussinesq’s equation

Le, K.C. and Nguyen, L.T.K. (2015) Amplitude modulation of water waves governed by Boussinesq’s equation. Nonlinear Dynamics, 81(1-2), pp. 659-666. (doi: 10.1007/s11071-015-2017-1)

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Abstract

This paper derives the equations of amplitude modulation of shallow water waves from the scalar Boussinesq’s (BSQ) equation by using the variational-asymptotic method. Two asymptotic solutions describing the amplitude modulation of trains of solitons and of positons are obtained. The comparison with the exact solutions of BSQ equation shows quite excellent agreement.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Nguyen, Dr Khiem
Authors: Le, K.C., and Nguyen, L.T.K.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Nonlinear Dynamics
Publisher:Springer
ISSN:0924-090X
ISSN (Online):1573-269X
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