On Bäcklund transformation and vortex filament equation for pseudo null curves in Minkowski 3-space

DOI10.1142/S0219887816500778zbMath1378.53080OpenAlexW2302039336MaRDI QIDQ5739633

Emilija Nešović, Milica Grbović

Publication date: 19 July 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887816500778

zbMATH Keywords

vortex filament flowBäcklund transformationpseudo null curve

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (7)

Differential geometric aspects of nonlinear Schrödinger equation ⋮ Introduction to Cartan numbers and some geometric applications ⋮ Motion of an integral curve of a Hamiltonian dynamical system and the evolution equations in 3D ⋮ On Backlund transformation and motion of null Cartan curves ⋮ The variation of the electric field along optic fiber for null Cartan and pseudo-null frames ⋮ On the Bishop frames of pseudo null and null Cartan curves in Minkowski 3-space ⋮ Integrability aspects of the vortex filament equation for pseudo-null curves

Cites Work

• Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies
• Some characterizations of null, pseudo null and partially null rectifying curves in Minkowski space-time
• MOTION OF SPACE CURVES IN THREE-DIMENSIONAL MINKOWSKI SPACE $R_1^{3}$, SO(2,1) SPIN EQUATION AND DEFOCUSING NONLINEAR SCHRÖDINGER EQUATION
• BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION
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