A parallel transport frame field approach to soliton surfaces associated with the Betchov–Da Rios equation in four space

• Date: 2026
• Main Authors: Altın, Mustafa, Kazan, Ahmet
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9337
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 514.752, 514.748 By  using the parallel transport frame field, we examine the geometric properties of a soliton surface $\Psi=\Psi(s,t)$ associated with the Betchov–Da Rios equation in four-dimensional Euclidean space. We obtain derivative formulas for the parallel transport frame field of a uni...