Abstract
In this paper, we investigate the coupled Gerdjikov–Ivanov equations, which have the physical applications in nonlinear optics. The mass, energy and momentum conservation laws are obtained. Through the Hirota method, bright one- and two-soliton solutions are obtained. Interactions between two bright solitons are verified to be elastic through the asymptotic analysis. The oblique interactions and bound states of solitons are analyzed. The condition of modulation instability of the plane-wave solutions is given through the linear stability analysis.
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This work has been supported by the National Natural Science Foundations of China (Grant No. 11801597).
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Wang, YF., Pei, YT. & Guo, BL. Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov–Ivanov equations. Z. Angew. Math. Phys. 74, 84 (2023). https://doi.org/10.1007/s00033-023-01981-3
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DOI: https://doi.org/10.1007/s00033-023-01981-3