On the elliptic-localized solutions of the sine-Gordon equation

DOI10.1016/j.physd.2022.133597zbMath1505.35010OpenAlexW4309919920MaRDI QIDQ2111746

Publication date: 17 January 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133597

zbMATH Keywords

theta functions sine-Gordon equation Darboux-Bäcklund transformation elliptic-breather solutions elliptic-kink solutions

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (3)

Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation ⋮ Darboux transformation for nonlinear Schrödinger type hierarchies ⋮ Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds

Cites Work

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Localized structures on librational and rotational travelling waves in the sine-Gordon equation
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