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General rogue wave solutions of the coupled Fokas-Lenells equations and non-recursive Darboux transformation
Yanlin Ye1, Yi Zhou1, Shihua Chen1
1School of Physics, Southeast University, Nanjing 211189, People's Republic of China.
Abstract:
We formulate a non-recursive Darboux transformation technique to obtain the general nth-order rational rogue wave solutions to the coupled Fokas-Lenells system, which is an integrable extension of the noted Manakov system, by considering both the double-root and triple-root situations of the spectral characteristic equation. Based on the explicit fundamental and second-order rogue wave solutions, we demonstrate several interesting rogue wave dynamics, among which are coexisting rogue waves and anomalous Peregrine solitons. Our solutions are generalized to include the complete background-field parameters and therefore helpful for future experimental study.
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