Soliton Solutions to Sine-Gordon Using the Ruijsenaars-Schneider Model

Rudengren, Fabian; Otterling, Jacob

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Soliton Solutions to Sine-Gordon Using the Ruijsenaars-Schneider Model

Rudengren, Fabian

KTH, School of Engineering Sciences (SCI).

Otterling, Jacob

KTH, School of Engineering Sciences (SCI).

2024 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis

Abstract [en]

This thesis discusses the Ruijsenaars-Schneider model and its connection to Calogero-Moser systems and the sine-Gordon equation. The derivations and mathematical framework presented aims at making the model comprehensible to non-experts in the field. Two different methods, the Bäcklund transformation and Ruijsenaars-Schneider model, are used to find soliton solutions to the sine-Gordon equation.

Place, publisher, year, edition, pages

2024.

Series

TRITA-SCI-GRU ; 2024:252

Keywords [en]

Soliton, Ruijsenaars-Schneider, Sine-Gordon, Mathematical Physics

National Category

Physical Sciences

Identifiers

URN: urn:nbn:se:kth:diva-348652OAI: oai:DiVA.org:kth-348652DiVA, id: diva2:1877809

Subject / course

Theoretical Physics

Educational program

Master of Science in Engineering - Engineering Mathematics

Supervisors

Langmann, Edwin

Examiners

Zahedi, Sara

Available from: 2024-06-26 Created: 2024-06-26 Last updated: 2024-06-27Bibliographically approved

Open Access in DiVA

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