Differential geometric approach of Betchov-Da Rios soliton equation

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Küçük Resim

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Hacettepe University Faculty of Science

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In the present paper, we investigate differential geometric properties the soliton surface M associated with Betchov-Da Rios equation. Then, we give derivative formulas of Frenet frame of unit speed curve 4) = 4)(s, t) for all t. Also, we discuss the linear map of Weingarten type in the tangent space of the surface that generates two invariants: k and h. Moreover, we obtain the necessary and sufficient conditions for the soliton surface associated with Betchov-Da Rios equation to be a minimal surface. Finally, we examine a soliton surface associated with Betchov-Da Rios equation as an application. Mathematics Subject Classification (2020). 35Q55, 53A05

Açıklama

Makale
WOS:000964265900009
PubMed ID:35296227

Anahtar Kelimeler

Betchov-Da Rios Equation, Localized İnduction Equation (LIE), Smoke Ring Equation, Vortex Filament Equation, Nonlinear Schrodinger (NLS) Equation

Kaynak

Hacettepe Journal of Mathematics and Statistics

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

52

Sayı

1

Künye

Li, Y., Erdoğdu, M., Yavuz, A. (2023). Differential geometric approach of Betchov-Da Rios soliton equation. Hacettepe Journal of Mathematics and Statistics, 52, 1, 114-125.