Benjamin-Ono model of an internal wave under a flat surface

Alan Compelli; Rossen Ivanov

doi:10.3934/dcds.2019185

Benjamin-Ono model of an internal wave under a flat surface

Alan Compelli, Rossen Ivanov

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.

Original language	English
Pages (from-to)	4519-4532
Number of pages	14
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	39
Issue number	8
DOIs	https://doi.org/10.3934/dcds.2019185
Publication status	Published - Aug 2019

Keywords

Currents
Hamiltonian systems
Internal waves
Long waves
Nonlinear waves
Solitons

Access to Document

10.3934/dcds.2019185

https://arrow.tudublin.ie/scschmatart/290Licence: CC BY-NC-SA

Cite this

@article{873eb4440e824569ae28f6a2c3f58075,

title = "Benjamin-Ono model of an internal wave under a flat surface",

abstract = "A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.",

keywords = "Currents, Hamiltonian systems, Internal waves, Long waves, Nonlinear waves, Solitons",

author = "Alan Compelli and Rossen Ivanov",

year = "2019",

month = aug,

doi = "10.3934/dcds.2019185",

language = "English",

volume = "39",

pages = "4519--4532",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "8",

}

TY - JOUR

T1 - Benjamin-Ono model of an internal wave under a flat surface

AU - Compelli, Alan

AU - Ivanov, Rossen

PY - 2019/8

Y1 - 2019/8

N2 - A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.

AB - A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.

KW - Currents

KW - Hamiltonian systems

KW - Internal waves

KW - Long waves

KW - Nonlinear waves

KW - Solitons

UR - https://www.scopus.com/pages/publications/85065794404

U2 - 10.3934/dcds.2019185

DO - 10.3934/dcds.2019185

M3 - Article

AN - SCOPUS:85065794404

SN - 1078-0947

VL - 39

SP - 4519

EP - 4532

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 8

ER -

Benjamin-Ono model of an internal wave under a flat surface

Abstract

Keywords

Access to Document

Fingerprint

Cite this