[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 …
Multi-Hamiltonian structures on spaces of closed equicentroaffine plane curves associated to higher KdV flows
A Fujioka, T Kurose - … Symmetry, Integrability and Geometry: Methods and …, 2014 - emis.de
Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is
shown that the flows are described as certain multi-Hamiltonian systems on the spaces …
shown that the flows are described as certain multi-Hamiltonian systems on the spaces …
Integrable systems with unitary invariance from non-stretching geometric curve flows in the Hermitian symmetric space Sp (n)/U (n)
A moving parallel frame method is applied to geometric non-stretching curve flows in the
Hermitian symmetric space Sp (n)/U (n) to derive new integrable systems with unitary …
Hermitian symmetric space Sp (n)/U (n) to derive new integrable systems with unitary …
Symplectic invariants for curves and integrable systems in similarity symplectic geometry
YY Li, CZ Qu - Science China Mathematics, 2015 - Springer
In this paper, similarity symplectic geometry for curves is proposed and studied. Explicit
expressions of the symplectic invariants, Frenet frame and Frenet formulae for curves in …
expressions of the symplectic invariants, Frenet frame and Frenet formulae for curves in …
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 …
Integrable systems and invariant curve flows in symplectic Grassmannian space
J Song, C Qu, R Yao - Physica D: Nonlinear Phenomena, 2017 - Elsevier
In this paper, local geometry of curves in the symplectic Grassmannian homogeneous space
Sp (4, R)/(Sp (2, R)× Sp (2, R)) and its connection with that of the pseudo-hyperbolic space …
Sp (4, R)/(Sp (2, R)× Sp (2, R)) and its connection with that of the pseudo-hyperbolic space …