Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients

Abstract

In this paper, under investigation is a $(2+1)$-dimensional nonlinear ferromagnetic spin chain system with variable coefficients. The system can be used to describe wave propagation in ferromagnetic materials. An algebraic iterative technique is proposed to construct a new hybrid breather and rogue wave solution of the system. Furthermore, abundant interaction behaviours between the breather and rogue wave are observed by choosing variable coefficient function and adjusting the parameters.

Keywords:

• $(2+1)$-Dimensional ferromagnetic spin chain system
• variable coefficient
• algebraic iterative technique
• hybrid breather and rogue wave solution
• interaction behaviour

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 30D35
• 34A05
• 37K40

Disclosure statement

No potential conflict of interest was reported by the author(s).