Scattering of solitons of the Klein-Gordon equation coupled to a classical particle

Valery Imaikin; Alexander Komech; Peter A. Markowich

doi:10.1063/1.1539900

Scattering of solitons of the Klein-Gordon equation coupled to a classical particle

Valery Imaikin^*, Alexander Komech, Peter A. Markowich

^*Corresponding author for this work

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

17 Scopus citations

Abstract

Long-time asymptotics are established for finite energy solutions of the scalar Klein-Gordon equation coupled to a relativistic classical particle: any "scattering" solution is asymptotically a sum of a soliton and of a dispersive free wave packet as t → ±∞. These asymptotics mean the nonlinear scattering of free wave packets by the soliton.

Original language	English (US)
Pages (from-to)	1202-1217
Number of pages	16
Journal	Journal of Mathematical Physics
Volume	44
Issue number	3
DOIs	https://doi.org/10.1063/1.1539900
State	Published - Mar 1 2003
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1539900

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title = "Scattering of solitons of the Klein-Gordon equation coupled to a classical particle",

abstract = "Long-time asymptotics are established for finite energy solutions of the scalar Klein-Gordon equation coupled to a relativistic classical particle: any {"}scattering{"} solution is asymptotically a sum of a soliton and of a dispersive free wave packet as t → ±∞. These asymptotics mean the nonlinear scattering of free wave packets by the soliton.",

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AU - Markowich, Peter A.

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N2 - Long-time asymptotics are established for finite energy solutions of the scalar Klein-Gordon equation coupled to a relativistic classical particle: any "scattering" solution is asymptotically a sum of a soliton and of a dispersive free wave packet as t → ±∞. These asymptotics mean the nonlinear scattering of free wave packets by the soliton.

AB - Long-time asymptotics are established for finite energy solutions of the scalar Klein-Gordon equation coupled to a relativistic classical particle: any "scattering" solution is asymptotically a sum of a soliton and of a dispersive free wave packet as t → ±∞. These asymptotics mean the nonlinear scattering of free wave packets by the soliton.

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DO - 10.1063/1.1539900

M3 - Article

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JO - Journal of Mathematical Physics

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ER -

Scattering of solitons of the Klein-Gordon equation coupled to a classical particle

Abstract

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