8 citations · 24 across the 6 of their papers we have counts for
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math-ph2020
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(…
math-ph2019★ 8 cited
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…
math-ph2009★ 4 cited
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…