Work

On nonlocal reductions of a generalized Heisenberg ferromagnet equation

Year: 2019

Type: conference-paper

Abstract: We study nonlocal reductions of a coupled system of equations in 1 + 1 dimensions of the Heisenberg ferromagnet type. The system under consideration is completely integrable through inverse scattering transform and has a Lax pair related to a linear bundle in pole gauge. We describe the integrable hierarchy of nonlinear equations related to our system in terms of generating operators. We present some special solutions associated with four distinct discrete eigenvalues of scattering operator. Using the Lax pair diagonalization method, we derive recurrence formulas for the conserved densities and find the first two simplest densities.

Source: AIP conference proceedings

DOI: 10.1063/1.5127502

Authors: T. Valchev, R. Myrzakulov, G. Nugmanova, K. Yesmakhanova

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, L. N. Gumilyov Eurasian National University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2977358310

FWCI:

Cites: 19

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Related to: 10