Moving non-null curves according to Bishop frame in Minkowski 3-space
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Publication:5261026
DOI10.1142/S0219887815500528zbMath1319.53020MaRDI QIDQ5261026
Publication date: 1 July 2015
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (8)
Unnamed Item ⋮ On Bishop frame of a null Cartan curve in Minkowski space-time ⋮ Motion of an integral curve of a Hamiltonian dynamical system and the evolution equations in 3D ⋮ Anholonomy according to three formulations of non-null curve evolution ⋮ Antiferromagnetic viscosity model for electromotive microscale with second type nonlinear heat frame ⋮ Three classes of non-lightlike curve evolution according to Darboux frame and geometric phase ⋮ Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space ⋮ Integrability aspects of the vortex filament equation for pseudo-null curves
Cites Work
- The Hasimoto transformation and integrable flows on curves
- Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies
- MOTION OF SPACE CURVES IN THREE-DIMENSIONAL MINKOWSKI SPACE $R_1^{3}$, SO(2,1) SPIN EQUATION AND DEFOCUSING NONLINEAR SCHRÖDINGER EQUATION
- There is More than One Way to Frame a Curve
- Solitons on moving space curves
- Intrinsic Geometry of the NLS Equation and Its Auto‐Bäcklund Transformation
- The vortex filament in the Minkowski 3-space and generalized bi-Schrödinger maps
- A soliton on a vortex filament
- New connections between moving curves and soliton equations
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