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Ye, Yanlin; Hou, Chong; Cheng, Dandan; Chen, Shihua

Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1482.37072

Phys. Lett., A 384, No. 11, Article ID 126226, 6 p. (2020).
Summary: We use a nonrecursive Darboux transformation method to obtain a special hierarchy of rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation, which can govern the propagation of ultrashort optical pulses in a long-haul telecommunication fiber. In terms of the exact rational solutions, we demonstrate several interesting rogue wave dynamics such as rogue wave doublets, quartets and sextets. The modulation instability responsible for the excitation of rogue waves from an unstable continuous background in such a complex nonlinear system is also discussed.

Cited in 8 Documents

MSC:

37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
37K45 Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems
35C08 Soliton solutions
35Q51 Soliton equations

Keywords:

rogue wave; Darboux transformation; modulation instability
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References:

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