Ermakov Equation and Camassa-Holm Waves

Haret C. Rosu; S. C. Mancas; Stefani Mancas

Ermakov Equation and Camassa-Holm Waves

Haret C. Rosu
, S. C. Mancas
, Stefani Mancas

Instituto Potosino de Investigacion Cientifica y Tecnologica
Embry-Riddle Aeronautical University – Daytona Beach

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

Abstract

 Since the works of [1] and [2], it is known that the solution of the Ermakov equation is
 an important ingredient in the spectral problem of the Camassa-Holm equation. Here, we review
 this interesting issue and consider in addition more features of the Ermakov equation which have an
 impact on the behavior of the shallow water waves as described by the Camassa-Holm equation.

Original language	American English
Journal	The Nepali Mathematical Sciences Report
Volume	34
State	Published - Sep 2016

Keywords

Ermakov equation
Camassa-Holm equation
nonlinear waves

Disciplines

Physical Sciences and Mathematics

Cite this

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title = "Ermakov Equation and Camassa-Holm Waves",

abstract = " Since the works of [1] and [2], it is known that the solution of the Ermakov equation is an important ingredient in the spectral problem of the Camassa-Holm equation. Here, we review this interesting issue and consider in addition more features of the Ermakov equation which have an impact on the behavior of the shallow water waves as described by the Camassa-Holm equation.",

keywords = "Ermakov equation, Camassa-Holm equation, nonlinear waves",

author = "Rosu, \{Haret C.\} and Mancas, \{S. C.\} and Stefani Mancas",

year = "2016",

month = sep,

language = "American English",

volume = "34",

journal = "The Nepali Mathematical Sciences Report",

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TY - JOUR

T1 - Ermakov Equation and Camassa-Holm Waves

AU - Rosu, Haret C.

AU - Mancas, S. C.

AU - Mancas, Stefani

PY - 2016/9

Y1 - 2016/9

N2 - Since the works of [1] and [2], it is known that the solution of the Ermakov equation is an important ingredient in the spectral problem of the Camassa-Holm equation. Here, we review this interesting issue and consider in addition more features of the Ermakov equation which have an impact on the behavior of the shallow water waves as described by the Camassa-Holm equation.

AB - Since the works of [1] and [2], it is known that the solution of the Ermakov equation is an important ingredient in the spectral problem of the Camassa-Holm equation. Here, we review this interesting issue and consider in addition more features of the Ermakov equation which have an impact on the behavior of the shallow water waves as described by the Camassa-Holm equation.

KW - Ermakov equation

KW - Camassa-Holm equation

KW - nonlinear waves

UR - http://www.journal.cdmathtu.edu.np/articles.html?id=49

M3 - Article

VL - 34

JO - The Nepali Mathematical Sciences Report

JF - The Nepali Mathematical Sciences Report

ER -

Ermakov Equation and Camassa-Holm Waves

Abstract

Keywords

Disciplines

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Cite this