상세 보기
Heisenberg spin chain models and Bäcklund transformations of isotropic curves in ℂ<SUP>3</SUP>
- Yuzbasi, Zuhal Kucukarslan;
- Lee, Hyun Chol;
- Yoon, Dae Won
Citations
WEB OF SCIENCE
0Citations
SCOPUS
0초록
In this paper, we introduce a new complex frame to derive Lamb formalism of an isotropic curve in complex 3-space. From this, we prove that the modified generalizations of the Heisenberg spin chain models in terms of the principal normal vector of an isotropic curve are equivalent to some second-order and third-order complex nonlinear partial differential equations. Finally, we construct B & auml;cklund transformation of an isotropic curve as a transformation which maps an isotropic helix to another isotropic helix congruent to the given one.
키워드
Heisenberg spin chain model; Backlund transformation; pseudo helix; isotropic curve; BACKLUND-TRANSFORMATIONS; VORTEX FILAMENT; MOTION; EQUATIONS
- 제목
- Heisenberg spin chain models and Bäcklund transformations of isotropic curves in ℂ<SUP>3</SUP>
- 저자
- Yuzbasi, Zuhal Kucukarslan; Lee, Hyun Chol; Yoon, Dae Won
- 발행일
- 2025-06
- 유형
- Article; Early Access
- 권
- 23
- 호
- 7