Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

Roy Choudhury; Rossen I. Ivanov; Yue Liu

doi:10.1016/j.chaos.2006.03.057

Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

Roy Choudhury, Rossen I. Ivanov, Yue Liu

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

Abstract

The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves.

Original language	English
Pages (from-to)	544-550
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2006.03.057
Publication status	Published - Oct 2007
Externally published	Yes

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title = "Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation",

abstract = "The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves.",

author = "Roy Choudhury and Ivanov, \{Rossen I.\} and Yue Liu",

year = "2007",

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AU - Choudhury, Roy

AU - Ivanov, Rossen I.

AU - Liu, Yue

PY - 2007/10

Y1 - 2007/10

N2 - The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves.

AB - The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves.

UR - https://www.scopus.com/pages/publications/34147114261

U2 - 10.1016/j.chaos.2006.03.057

DO - 10.1016/j.chaos.2006.03.057

M3 - Article

AN - SCOPUS:34147114261

SN - 0960-0779

VL - 34

SP - 544

EP - 550

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

Abstract

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