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We study breathers and solitons on different backgrounds in optical fibersystem, which is governed by generalized coupled Hirota equations with fourwave mixing effect. On plane wave background, a transformation betweendifferent types of solitons is discovered. Then, on periodic wave background,we find breather-like nonlinear localized waves of which formation mechanismare related to the energy conversion between two components. The energyconversion results from four wave mixing. Furthermore, we prove that thisenergy conversion is controlled by amplitude and period of backgrounds.Finally, solitons on periodic wave background are also exhibited. These resultswould enrich our knowledge of nonlinear localized waves' excitation in coupledsystem with four wave mixing effect.

Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing