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Integrable system of null curve and Betchov-Da Rios equationopen access
- Authors
- Yoon, Dae Won
- Issue Date
- Jan-2025
- Publisher
- Faculty of Mathematics and Information Sciences, Warsaw University of Technology | De Gruyter Open
- Keywords
- non-linear Schr & ouml; dinger type equation; Landau-Lifshitz equation; Boussinesq equation; Betchov-Da Rios equation
- Citation
- Demonstratio Mathematica, v.58, no.1
- Indexed
- SCOPUS
- Journal Title
- Demonstratio Mathematica
- Volume
- 58
- Number
- 1
- ISSN
- 2391-4661
2391-4661
- Abstract
- This study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau-Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new transformation. Additionally, a null Betchov-Da Rios equation along the null curve is considered to study new soliton solutions to the null Betchov-Da Rios equation. Finally, the corresponding evolution surfaces of the Hasimoto surface are investigated along the null curve in Minkowski 3-space.
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