Immeasurable soliton solutions and enhanced (G'/G)-expansion method

Abstract

In this paper, we extract the enormous soliton solutions from the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (HFSC) equation with the aid of enhanced (G′/G)-expansion method in nonlinear dynamics of magnets. All soliton solutions represent as standings of hyperbolic function solution and trigonometric functions solution with arbitrary parameters. The nonlinear wave prearrangement is analyzed and showed in 3D, 2D, and contour plots with explicit estimations of the free parameters plotted in this literature. The enhanced (G′/G)-expansion method is a suitable solution of nonlinear waves that improve the combination of magnetic models rises in the field of engineering as well.

Keywords

• (2+1)-dimensional HFSC equation
• Soliton
• Rogue shape
• Bell shape
• Kink soliton