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In this paper, under investigation is a-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.

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