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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2019 Volume 15, 028, 17 pp. (Mi sigma1464)
This article is cited in 2 papers

Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice

V. E. Vekslerchik

Usikov Institute for Radiophysics and Electronics, 12 Proskura Str., Kharkiv, 61085, Ukraine

Abstract: We present a family of explicit solutions for a nonlinear classical vector model with anisotropic Heisenberg-like interaction on the triangular lattice.

Keywords: classical Heisenberg-type models; triangular lattice; bilinear approach; explicit solutions; solitons.

MSC: 37J35; 11C20; 35C08; 15B05

Received: December 28, 2018; in final form April 4, 2019; Published online April 13, 2019

Language: English

DOI: 10.3842/SIGMA.2019.028



Bibliographic databases:
ArXiv: 1812.06465

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