Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
arXiv:1507.02816 · doi:10.1016/j.cnsns.2015.11.017
Abstract
In this work, we have studied the peregrine rogue wave dynamics, with a solitons on finite background (SFB) ansatz, in the recently proposed (Phys. Rev. Lett. 110 (2013) 064105) continuous nonlinear Schrodinger system with parity-time symmetric Kerr nonlinearity. We have found that the continuous nonlinear Schrodinger system with PT-symmetric nonlinearity also admits Peregrine Soliton solution. Motivated by the fact that Peregrine solitons are regarded as prototypical solutions of rogue waves, we have studied Peregrine rogue wave dynamics in the c-PTNLSE model. Upon numerical computation, we observe the appearance of low-intense Kuznetsov-Ma (KM) soliton trains in the absence of transverse shift (unbroken PT-symmetry) and well-localized high-intense Peregrine Rogue waves in the presence of transverse shift (broken PT-symmetry) in a definite parametric regime.
References in corpus (8)
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Periodic and Hyperbolic Soliton Solutions of a Number of Nonlocal PT-Symmetric Nonlinear Equations
- Stable dark solitons in PT-symmetric dual-core waveguides
- Bragg solitons in nonlinear PT-symmetric periodic potentials
- Optical mesh lattices with PT-symmetry
- A note on the PT-invariant periodic potential V(x)=4 cos^2 x + 4 i V_0 sin 2x
- Breather-like solitons extracted from the Peregrine rogue wave
Cited by in corpus (9)
- Parity-Time Symmetry in Non-Hermitian Complex Optical Media
- Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation
- Realization and application of parity-time-symmetric oscillators in quantum regime
- General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system
- Rational solutions of the defocusing nonlocal nonlinear Schrodinger equation: Asymptotic analysis and soliton interactions
- Curved wedges in the long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
- Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
- Highly Amplified Light Transmission in Parity-Time Symmetric Multilayered Structure
- Nonintegrable Spatial Discrete Nonlocal Nonlinear Schrödinger Equation