Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads

Muradiye Çimdiker Aslan

doi:10.53570/jnt.1745842

Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads

Abstract

This study first investigates spacelike curves lying on a lightlike Nonlinear Schrödinger (NLS) surface in $3$-dimensional Minkowski space $E_{1}^{3}$. It then derives the time evolution of these curves using the first and second types of generalized Darboux triads defined along the $T$-direction. Within this framework, this paper obtains the angular momentum and the vortex filament equation. Furthermore, it calculates the first and second fundamental form components of the surface to determine its mean and Gaussian curvatures. Finally, the present study constructs the recursion and normalization operators associated with the geometric evolution.

Keywords

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry, Partial Differential Equations

Journal Section

Research Article

Authors

Muradiye Çimdiker Aslan ^*
0000-0002-7493-4311
Türkiye

Publication Date

December 31, 2025

Submission Date

July 18, 2025

Acceptance Date

December 11, 2025

Published in Issue

Year 2025 Number: 53

DOI

https://doi.org/10.53570/jnt.1745842

IZ

https://izlik.org/JA23ND97ZD

Cite

RIS / Bibtex

APA

Çimdiker Aslan, M. (2025). Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads. Journal of New Theory, 53, 1-13. https://doi.org/10.53570/jnt.1745842

AMA

1.Çimdiker Aslan M. Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads. JNT. 2025;(53):1-13. doi:10.53570/jnt.1745842

Chicago

Çimdiker Aslan, Muradiye. 2025. “Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads”. Journal of New Theory, nos. 53: 1-13. https://doi.org/10.53570/jnt.1745842.

EndNote

Çimdiker Aslan M (December 1, 2025) Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads. Journal of New Theory 53 1–13.

IEEE

[1]M. Çimdiker Aslan, “Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads”, JNT, no. 53, pp. 1–13, Dec. 2025, doi: 10.53570/jnt.1745842.

ISNAD

Çimdiker Aslan, Muradiye. “Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads”. Journal of New Theory. 53 (December 1, 2025): 1-13. https://doi.org/10.53570/jnt.1745842.

JAMA

1.Çimdiker Aslan M. Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads. JNT. 2025;:1–13.

MLA

Çimdiker Aslan, Muradiye. “Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads”. Journal of New Theory, no. 53, Dec. 2025, pp. 1-13, doi:10.53570/jnt.1745842.

Vancouver

1.Muradiye Çimdiker Aslan. Spacelike Curves on Lightlike NLS Surfaces Using Generalized Darboux Triads. JNT. 2025 Dec. 1;(53):1-13. doi:10.53570/jnt.1745842