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Integrable system of null curve and Betchov-Da Rios equation
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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.
키워드
non-linear Schr & ouml; dinger type equation; Landau-Lifshitz equation; Boussinesq equation; Betchov-Da Rios equation; BINORMAL MOTION; SOLITON; TORSION
- 제목
- Integrable system of null curve and Betchov-Da Rios equation
- 저자
- Yoon, Dae Won
- 발행일
- 2025-01
- 유형
- Article
- 저널명
- Demonstratio Mathematica
- 권
- 58
- 호
- 1