Abstract
A (2+1)-dimensional Heisenberg ferromagnetic equation is under investigation, which is based on Schrödinger equation, and can be used to model nonlinear wave propagation in ferromagnetic spin chain. Analytical mixed breather and rogue wave solution is obtained for the system via the extended Darboux transformation technique. Then the interaction behaviors between breather and rogue wave are studied in details. The nonlinear Kerr effect can influence the wave width, rotation and shape of the mixed waves. Especially, the mixed waves will degenerate into oscillation waves when the Kerr effect is not considered. The breather and rogue wave are squeezed and their amplitudes are amplified by controlling two endogenous parameters.
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