Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing |
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Authors: | Han-Xiang Xu Zhan-Ying Yang Li-Chen Zhao Liang Duan Wen-Li Yang |
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Institution: | 1. School of Physics, Northwest University, Xi''an, 710127, China;2. Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi''an 710127, China;3. Institute of Modern Physics, Northwest University, Xi''an 710127, China |
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Abstract: | We study breathers and solitons on different backgrounds in optical fiber system, which is governed by generalized coupled Hirota equations with four wave mixing effect. On plane wave background, a transformation between different types of solitons is discovered. Then, on periodic wave background, we find breather-like nonlinear localized waves of which formation mechanism are related to the energy conversion between two components. The energy conversion results from four wave mixing. Furthermore, we prove that this energy conversion is controlled by amplitude and period of backgrounds. Finally, solitons on periodic wave background are also exhibited. These results would enrich our knowledge of nonlinear localized waves' excitation in coupled system with four wave mixing effect. |
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Keywords: | Coupled Hirota equations Four wave mixing Periodic wave background Breather |
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