On an integrable two-component Camassa-Holm shallow water system

Adrian Constantin; Rossen Ivanov

doi:10.1016/j.physleta.2008.10.050

On an integrable two-component Camassa-Holm shallow water system

Adrian Constantin, Rossen Ivanov

Mathematics (Faculty of Sciences)

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

Abstract

The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	7129-7132
Journal	Physics Letters. Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	48
DOIs	https://doi.org/10.1016/j.physleta.2008.10.050
Publication status	Published - 2008

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Mathematics

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10.1016/j.physleta.2008.10.050

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title = "On an integrable two-component Camassa-Holm shallow water system",

abstract = "The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.",

author = "Adrian Constantin and Rossen Ivanov",

year = "2008",

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AU - Constantin, Adrian

AU - Ivanov, Rossen

PY - 2008

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N2 - The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.

AB - The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.physleta.2008.10.050

DO - 10.1016/j.physleta.2008.10.050

M3 - Article

SN - 0375-9601

VL - 372

SP - 7129

EP - 7132

JO - Physics Letters. Section A: General, Atomic and Solid State Physics

JF - Physics Letters. Section A: General, Atomic and Solid State Physics

IS - 48

ER -

On an integrable two-component Camassa-Holm shallow water system

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