Solitary waves in an elastic string

Viacheslav Krylov; Philip Rosenau

doi:10.1016/0375-9601(96)00285-X

Solitary waves in an elastic string

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

Abstract

It is well known that a genuinely nonlinear straight string can support only trivial, constant stretch, traveling waves. We demonstrate that such a string preshaped into a rotating helix supports the propagation of subsonic solitons for any stress-strain relation. The properties of the resulting solitary wave depend on its sense of rotation versus the rotation of the free string as a rigid body. The cases of linear and quadratic stress-strain relations are considered explicitly.

Original language	English
Pages (from-to)	31-42
Number of pages	12
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	217
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(96)00285-X
State	Published - 1 Jul 1996

Keywords

Soliton
String dynamics
Vector equations

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10.1016/0375-9601(96)00285-X

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title = "Solitary waves in an elastic string",

abstract = "It is well known that a genuinely nonlinear straight string can support only trivial, constant stretch, traveling waves. We demonstrate that such a string preshaped into a rotating helix supports the propagation of subsonic solitons for any stress-strain relation. The properties of the resulting solitary wave depend on its sense of rotation versus the rotation of the free string as a rigid body. The cases of linear and quadratic stress-strain relations are considered explicitly.",

keywords = "Soliton, String dynamics, Vector equations",

author = "Viacheslav Krylov and Philip Rosenau",

note = "Funding Information: We thank Mr. N. Sela for his help with the calculation in Section 3. This research was supported in part by the US-Israel BSF grants nos. 94-00349 and 94-00283, by the Colton Foundation and by the AFOSR grant no. F49620-95-1-0065.",

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AU - Krylov, Viacheslav

AU - Rosenau, Philip

N1 - Funding Information: We thank Mr. N. Sela for his help with the calculation in Section 3. This research was supported in part by the US-Israel BSF grants nos. 94-00349 and 94-00283, by the Colton Foundation and by the AFOSR grant no. F49620-95-1-0065.

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Y1 - 1996/7/1

N2 - It is well known that a genuinely nonlinear straight string can support only trivial, constant stretch, traveling waves. We demonstrate that such a string preshaped into a rotating helix supports the propagation of subsonic solitons for any stress-strain relation. The properties of the resulting solitary wave depend on its sense of rotation versus the rotation of the free string as a rigid body. The cases of linear and quadratic stress-strain relations are considered explicitly.

AB - It is well known that a genuinely nonlinear straight string can support only trivial, constant stretch, traveling waves. We demonstrate that such a string preshaped into a rotating helix supports the propagation of subsonic solitons for any stress-strain relation. The properties of the resulting solitary wave depend on its sense of rotation versus the rotation of the free string as a rigid body. The cases of linear and quadratic stress-strain relations are considered explicitly.

KW - Soliton

KW - String dynamics

KW - Vector equations

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U2 - 10.1016/0375-9601(96)00285-X

DO - 10.1016/0375-9601(96)00285-X

M3 - מאמר

AN - SCOPUS:0039775315

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

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

SN - 0375-9601

IS - 1

ER -

Solitary waves in an elastic string

Abstract

Keywords

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