Peregrine Solitons on a Periodic Background in the Vector Cubic-Quintic Nonlinear Schrodinger Equation

Year: 2020

Authors: Ye Y., B L., Wang W., Chen S., Baronio F., Mihalamche D.

Autors Affiliation: Southeast Univ, Sch Phys, Nanjing, Peoples R China; Southeast Univ, Quantum Informat Res Ctr, Nanjing, Peoples R China; Univ Brescia, CNR, INO, Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Brescia, Italy; Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, Magurele, Romania.

Abstract: We present exact explicit Peregrine soliton solutions based on a periodic-wave background caused by the interference in the vector cubic-quintic nonlinear Schrodinger equation involving the self-steepening effect. It is shown that such periodic Peregrine soliton solutions can be expressed as a linear superposition of two fundamental Peregrine solitons of different continuous-wave backgrounds. Because of the self-steepening effect, some interesting Peregrine soliton dynamics such as ultrastrong amplitude enhancement and rogue wave coexistence are still present when they are built on a periodic background. We numerically confirm the stability of these analytical solutions against non-integrable perturbations, i.e., when the coefficient relation that enables the integrability of the vector model is slightly lifted. We also demonstrate the interaction of two Peregrine solitons on the same periodic background under some specific parameter conditions. We expect that these results may shed more light on our understanding of the realistic rogue wave behaviors occurring in either the fiber-optic telecommunication links or the crossing seas.

Journal/Review: FRONTIERS IN PHYSICS

Volume: 8      Pages from: 596950  to: 596950

More Information: This work was supported by the National Natural Science Foundation of China (Grants No. 11474051 and No. 11974075) and by the Scientific Research Foundation of Graduate School of Southeast University (Grant No. YBPY1872).
KeyWords: peregrine soliton; rogue wave; vector nonlinear Schroedinger equation; self-steepening; cubic-quintic nonlinearity
DOI: 10.3389/fphy.2020.596950

Citations: 15
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