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The Evolution of a Curve Induced by the Pohlmeyer-Lund-Regge Equation

Kobayashi, Shimpei; Kogo, Yuhei; Matsuura, Nozomu

Journal of Nonlinear Science, 2025, 35(4)

Permalink : https://hdl.handle.net/2115/97925

このアイテムのアクセス数:18件（2026-10-17 12:23 集計）

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論文情報

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アクセス権
open access
URI
https://hdl.handle.net/2115/97925
タイトル
The Evolution of a Curve Induced by the Pohlmeyer-Lund-Regge Equation
著者
Kobayashi, Shimpei ; Kogo, Yuhei ; Matsuura, Nozomu
e-Rad_Researcher
40408654
著者名
Kobayashi, Shimpei
著者名
Kogo, Yuhei
著者名
Matsuura, Nozomu
言語
英語
キーワード
Curve evolution
Pohlmeyer-Lund-Regge equation
Solitons
発行日
2025-06-29
出版者
Springer
収録物名
Journal of Nonlinear Science
巻(号)
35(4)
抄録
This paper investigates the evolution of space curves governed by the Pohlmeyer-Lund-Regge (PLR) equation, an integrable extension of the sine-Gordon equation. We examine a specific type of curve evolution, known as the Lund-Regge evolution, and derive its representation in the Frenet frame. We show the Frenet frame evolution aligns with the Lax system of the PLR equation and develop a construction method for curve families via the Sym formula. In conclusion, we describe the Lund-Regge evolution corresponding to the Date multi-soliton solutions to the PLR equation, with illustrations of curves and surfaces.
資源タイプ
学術雑誌論文
出版タイプ
Accepted Manuscript
権利情報
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/DOI:10.1007/s00332-025-10184-1
PISSN
0938-8974
関連情報 (isVersionOf)
出版社版DOI
https://doi.org/10.1007/s00332-025-10184-1