Amplitude modulation of water waves governed by Boussinesq's equation

作者：Le K C^*; Nguyen L T K

来源：Nonlinear Dynamics, 2015, 81(1-2): 659-666.

DOI：10.1007/s11071-015-2017-1

• Water waves
• Amplitude modulation
• Variational-asymptotic methods
• Soliton
• Positon

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.

• 出版日期2015-7