[HTML][HTML] Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrödinger maps arising from group-invariant NLS systems
The deep geometrical relationships holding among the NLS equation, the vortex filament
equation, the Heisenberg spin model, and the Schrödinger map equation are extended to …
equation, the Heisenberg spin model, and the Schrödinger map equation are extended to …
Unitarily-invariant integrable systems and geometric curve flows in SU (n+ 1)/U (n) and SO (2n)/U (n)
Bi-Hamiltonian hierarchies of soliton equations are derived from geometric non-stretching
(inelastic) curve flows in the Hermitian symmetric spaces $ SU (n+ 1)/U (n) $ and $ SO …
(inelastic) curve flows in the Hermitian symmetric spaces $ SU (n+ 1)/U (n) $ and $ SO …
Nonlocal -invariant nonlinear Schrödinger system from geometric non-stretching curve flow in
E Asadi - International Journal of Geometric Methods in Modern …, 2021 - World Scientific
A new U (1)-invariant nonlocal coupled nonlinear Schrödinger type system consists of a real
scalar and two different complex variables as well as its equivalent imaginary quaternionic …
scalar and two different complex variables as well as its equivalent imaginary quaternionic …
Spacelike Curve Flows and Integrable Systems in the Lorentzian symmetric space SO (n, 1)/SO (n-1, 1)
ZK Yüzbaşı, SC Anco, M Bektaş - Ömer AKIN - academia.edu
In this paper, Integrable systems are derived by applying a general moving frame method to
non-stretching spacelike curve flows in the Lorentzian symmetric space SO (n, 1)/SO (n-1 …
non-stretching spacelike curve flows in the Lorentzian symmetric space SO (n, 1)/SO (n-1 …