Eur. Phys. J. B (2016) 89: 66
https://doi.org/10.1140/epjb/e2016-60823-2

Regular Article

Soliton stability in a square lattice model of an inhomogeneous helimagnet

¹ Department of Physics, Marthandam College of Engineering and Technology, 629177 Kuttakuzhi, India
² Department of Physics, Women’s Christian College, 629001 Nagercoil, India

^a e-mail: lathaisaac@yahoo.com

Received: 16 October 2015
Published online: 7 March 2016

Abstract

In this paper, we propose a square lattice model to study the nonlinear spin excitations of an inhomogeneous helimagnet with bilinear, twist and anisotropic interactions in the semi classical limit. The dynamics is found to be governed by a nonlinear partial differential equation (pde) in (2 + 1) dimensions. The nonlinear excitations and the influence of different types of interactions are investigated using a perturbation technique. The effect of inhomogeneities in the system is demonstrated graphically in terms of soliton stability.