Loop-like periodic waves and solitons to the Kraenkel–Manna–Merle system in ferrites

Abstract

The Kraenkel–Manna–Merle system is investigated, which describes the propagations of the ferromagnetic particles in ferrite materials. A new series of the solutions are obtained via the auxiliary equation method. These solutions include periodic traveling wave solutions in Jacobi elliptic functions and soliton solutions in hyperbolic functions. Some of them are demonstrated in visualization. There exist loop-like periodic waves and loop-like solitons between independent variables related to the magnetization and the external magnetic fields vs. the time and space variables. The parameter influences on the periodic wave solutions are also discussed.

Keywords:

• Kraenkel–Manna–Merle system
• ferromagnetic particles in ferrite materials
• auxiliary equation method
• loop-like soliton
• loop-like periodic waves

Notes

No potential conflict of interest was reported by the authors.