Towards a gauge-equivalent magnetic structure of the nonlocal nonlinear Schrödinger equation
T. A. GadzhimuradovInstitute of PhysicsA. M. AgalarovDepartment of Theoretical Physics, Institute of Physics Dagestan Scientific Centre, Russian Academy of Science, Makhachkala, Russia
2016en
ABI
Abstract
It is shown that the nonlocal nonlinear Schr\"odinger equation recently proposed by Ablowitz and Musslimani [Phys. Rev. Lett. 110, 064105 (2013)] is gauge equivalent to the unconventional system of coupled Landau-Lifshitz equations. The first integrals of motion and one-soliton solution of an obtained model are given. The physical and geometrical aspects of model and their effect on expected metamagnetic structures are studied.
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