Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 15 (2019), 028, 17 pages      arXiv:1812.06465      https://doi.org/10.3842/SIGMA.2019.028

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

Received December 28, 2018, in final form April 04, 2019; Published online April 13, 2019

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

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

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