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The results of theoretical study of the influence of mechanical stress, electric and magnetic fields on the conditions for magneto-elastic solitons existence and their dynamic properties in the symmetric phase of a tetragonal antiferromagnet are presented. The conditions for the occurrence of nonlinear magneto-elastic resonance of long and short waves (which is analogous to the Zakharov-Benney triad resonance) in this system are derived. The possibility of experimental detection of this new phenomenon is discussed.

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