Stability of the Camassa-Holm solitons

Adrian Constantin; WA Strauss

doi:10.1007/s00332-002-0517-x

Stability of the Camassa-Holm solitons

Adrian Constantin, WA Strauss

Mathematics (Faculty of Sciences)

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

Abstract

We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances.

Original language	English
Pages (from-to)	415-422
Journal	Journal of Nonlinear Science
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s00332-002-0517-x
Publication status	Published - 2002

Subject classification (UKÄ)

Mathematics

Access to Document

10.1007/s00332-002-0517-x

Cite this

@article{e74dcdeb6e12404ba03f5d2e50d0c72f,

title = "Stability of the Camassa-Holm solitons",

abstract = "We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances.",

author = "Adrian Constantin and WA Strauss",

year = "2002",

doi = "10.1007/s00332-002-0517-x",

language = "English",

volume = "12",

pages = "415--422",

journal = "Journal of Nonlinear Science",

issn = "0938-8974",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Stability of the Camassa-Holm solitons

AU - Constantin, Adrian

AU - Strauss, WA

PY - 2002

Y1 - 2002

N2 - We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances.

AB - We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances.

U2 - 10.1007/s00332-002-0517-x

DO - 10.1007/s00332-002-0517-x

M3 - Article

SN - 0938-8974

VL - 12

SP - 415

EP - 422

JO - Journal of Nonlinear Science

JF - Journal of Nonlinear Science

IS - 4

ER -

Stability of the Camassa-Holm solitons

Abstract

Subject classification (UKÄ)

Access to Document

Fingerprint

Cite this