Rogue wave solutions of the vector Lakshmanan–Porsezian–Daniel equation

Publication date: Available online 3 January 2020Source: Physics Letters AAuthor(s): Yanlin Ye, Chong Hou, Dandan Cheng, Shihua ChenAbstractWe 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.

Source: Physics Letters A - January 5, 2020 Category: Physics Source Type: research