Journal
NONLINEAR DYNAMICS
Volume 88, Issue 3, Pages 1883-1889Publisher
SPRINGER
DOI: 10.1007/s11071-017-3350-3
Keywords
PT-symmetric coupler; Recurrence behavior; Peregrine solution; Rogue wave triplet; Exponential diffraction decreasing system
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Funding
- National Natural Science Foundation of China [11604395, 11404289]
- Aid Project for the Mainstay Young Teachers in Henan Provincial Institutions of Higher Education of China [2016GGJS-135]
- High-level Talents Research and Startup Foundation Projects for Doctors of Zhoukou Normal University [zknu2014 120]
- School-based Program of Zhoukou Normal University [zknuB1201605]
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A (2 + 1)-dimensional variable-coefficient coupled nonlinear Schrodinger equation with different diffractions in parity-time symmetric coupler is studied, and exact solutions in the form of two-component Peregrine solution and rogue wave triplet are derived. Based on these solutions, by adjusting the relation between the maximal value and the exciting location values for Peregrine solution and for rogue wave triplet, recurrence behaviors for controllable excitation of Peregrine solution and rogue wave triplet including complete excitation, peak excitation, rear excitation and initial excitation are discussed in the exponential diffraction decreasing system. This phenomenon of recurrence for controllable excitation is owing to different values of diffractions in two transverse directions.
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