8 citations · 24 across the 6 of their papers we have counts for
6 papers
Integrable spinor/quaternion generalizations of the nonlinear Schrodinger equation
Stephen C. Anco, Ahmed M. G. Ahmed, Esmaeel Asadi
An integrable generalization of the NLS equation is presented, in which the dynamical complex variable is replaced by a pair of dynamical complex variables $(u_1(t,x),u_2(…
Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrodinger maps arising from group-invariant NLS systems
Stephen C. Anco, Esmaeel Asadi
The deep geometrical relationships holding among the NLS equation, the vortex filament equation,the Heisenberg spin model, and the Schrodinger map equation are extended to the gene…
Integrable Systems with Unitary Invariance from Non-stretching Geometric Curve Flows in the Hermitian Symmetric Space Sp(n)/U(n)
Stephen C. Anco, Esmaeel Asadi, Asieh Dogonchi
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 invarian…
Unitarily-invariant integrable systems and geometric curve flows in and
Ahmed M. G. Ahmed, Stephen C. Anco, Esmaeel Asadi
Bi-Hamiltonian hierarchies of soliton equations are derived from geometric non-stretching (inelastic) curve flows in the Hermitian symmetric spaces and …
Symplectically-invariant soliton equations from non-stretching geometric curve flows
Stephen C. Anco, Esmaeel Asadi
A moving frame formulation of geometric non-stretching flows of curves in the Riemannian symmetric spaces and is used to derive two bi-Ha…
Quaternionic Soliton Equations from Hamiltonian Curve Flows in HP^n
Stephen C. Anco, Esmaeel Asadi
A bi-Hamiltonian hierarchy of quaternion soliton equations is derived from geometric non-stretching flows of curves in the quaternionic projective space . The derivation adap…