Motions of Curves in 4-Dimensional Galilean Space G4

DOI10.1142/S1793557121501539zbMath1482.53021OpenAlexW3120394957MaRDI QIDQ5013441

Hülya Gün Bozok, Sezin Aykurt Sepet, Mahmut Ergüt

Publication date: 30 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501539

zbMATH Keywords

inextensible flowsGalilean spacemotions of curvesBurgers' equations

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Geometric evolution equations (53E99)

Cites Work

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• Motions of curves in the Galilean space \(\mathbb{G}_3\)
• Inextensible flows of curves and developable surfaces
• Motions of curves in similarity geometries and Burgers-mKdV hierarchies
• Motions of curves in the pseudo-Galilean space \(\mathbb{G}_3^1\)
• Geometric curve evolution and image processing
• The KdV Equation and Motion of Plane Curves
• Solitons on moving space curves
• Motion of Curves in the Plane
• Integrability and the motion of curves
• A soliton on a vortex filament
• On a quasi-linear parabolic equation occurring in aerodynamics
• Integrable equations arising from motions of plane curves

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