Breathers as homoclinic geometric wave maps

Jalal Shatah; Walter Strauss

doi:10.1016/S0167-2789(96)00156-X

Breathers as homoclinic geometric wave maps

Jalal Shatah, Walter Strauss

Mathematics

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

Abstract

A classical breather solution of the sine-Gordon equation can be viewed as a homoclinic wave map from periodic Minkowski space M_p² into S². This wave map is an unstable orbit of a simple steady-state wave map. Homoclinic wave maps are also constructed into non-round spheres.

Original language	English (US)
Pages (from-to)	113-133
Number of pages	21
Journal	Physica D: Nonlinear Phenomena
Volume	99
Issue number	2-3
DOIs	https://doi.org/10.1016/S0167-2789(96)00156-X
State	Published - 1996

Keywords

Breather
Harmonic maps
Homoclinic
Sine-Gordon equation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/S0167-2789(96)00156-X

Cite this

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title = "Breathers as homoclinic geometric wave maps",

abstract = "A classical breather solution of the sine-Gordon equation can be viewed as a homoclinic wave map from periodic Minkowski space Mp2 into S2. This wave map is an unstable orbit of a simple steady-state wave map. Homoclinic wave maps are also constructed into non-round spheres.",

keywords = "Breather, Harmonic maps, Homoclinic, Sine-Gordon equation",

author = "Jalal Shatah and Walter Strauss",

note = "Funding Information: Research supported in part by NSF grants 93-22146 and 94-01558 and ARO grant DAAH 04-93-G0198.",

year = "1996",

doi = "10.1016/S0167-2789(96)00156-X",

language = "English (US)",

volume = "99",

pages = "113--133",

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T1 - Breathers as homoclinic geometric wave maps

AU - Shatah, Jalal

AU - Strauss, Walter

N1 - Funding Information: Research supported in part by NSF grants 93-22146 and 94-01558 and ARO grant DAAH 04-93-G0198.

PY - 1996

Y1 - 1996

N2 - A classical breather solution of the sine-Gordon equation can be viewed as a homoclinic wave map from periodic Minkowski space Mp2 into S2. This wave map is an unstable orbit of a simple steady-state wave map. Homoclinic wave maps are also constructed into non-round spheres.

AB - A classical breather solution of the sine-Gordon equation can be viewed as a homoclinic wave map from periodic Minkowski space Mp2 into S2. This wave map is an unstable orbit of a simple steady-state wave map. Homoclinic wave maps are also constructed into non-round spheres.

KW - Breather

KW - Harmonic maps

KW - Homoclinic

KW - Sine-Gordon equation

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DO - 10.1016/S0167-2789(96)00156-X

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 2-3

ER -

Breathers as homoclinic geometric wave maps

Abstract

Keywords

ASJC Scopus subject areas

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