The Hamiltonian in the unidirectional surface wave propagation

Unidirectional surface water waves used in this study were obtained from the Benjamin Bona Mahony (BBM) equation. The BBM wave research is carried out by observing the envelope of BBM wave groups that involve following the Nonlinear Schrodinger (NLS) Equation. Soliton on Finite Background (SFB) is a...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2021-02, Vol.1087 (1), p.12082
Main Authors: Fadhiliani, D, Qausar, H, Ramli, M, Rizal, S, Syafwan, M
Format: Article
Language:English
Subjects:
Amplitudes
Potential energy
Propagation
Schrodinger equation
Singularities
Solitary waves
Surface water
Surface waves
Water waves
Wave groups
Wave propagation
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Summary:Unidirectional surface water waves used in this study were obtained from the Benjamin Bona Mahony (BBM) equation. The BBM wave research is carried out by observing the envelope of BBM wave groups that involve following the Nonlinear Schrodinger (NLS) Equation. Soliton on Finite Background (SFB) is an excellent NLS solution for describing the dynamics of wave propagation. It is known that there are modulation instability and phase singularity phenomena which can significantly affect the amplitude of the wave in its propagation. Hamiltonian contains potential energy which can explain the singularity and amplitude dynamics of the phase. Hamiltonian equations using the displaced phase-amplitude variables have been obtained and are presented in this article.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/1087/1/012082