Amplitude modulation of water waves governed by Boussinesq’s equation
| Autor: | K. C. Le, Lu Trong Khiem Nguyen |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Applied Mathematics Mechanical Engineering Scalar (mathematics) Mathematical analysis Aerospace Engineering Ocean Engineering Amplitude modulation Waves and shallow water Nonlinear Sciences::Exactly Solvable and Integrable Systems Control and Systems Engineering Soliton Electrical and Electronic Engineering Boussinesq approximation (water waves) |
| Zdroj: | Nonlinear Dynamics. 81:659-666 |
| ISSN: | 1573-269X 0924-090X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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