A new approach to the connections between moving curves and a family of complex KdV type systems

ZK Yüzbaşı - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this paper, we give a new approach to the existence of a connection between the
geometry of moving curves and the soliton equation for a family of complex KdV type …

Congruence of degenerate surface along pseudo null curve and Landau–Lifshitz equation

A Yavuz, M Erdoğdu - Journal of Geometry and Physics, 2022 - Elsevier
This paper is devoted to the geometry of pseudo null curve in terms of anholonomic
coordinates in Minkowski space. Firstly, extended Frenet formulas for pseudo null curves are …