New classes of solutions in the Coupled PT Symmetric Nonlocal Nonlinear Schrodinger Equations with Four Wave Mixing
arXiv:1804.04914 · doi:10.1016/j.cnsns.2017.11.016
Abstract
We investigate generalized nonlocal coupled nonlinear Schroedinger equation containing Self-Phase Modulation, Cross-Phase Modulation and Four-Wave Mixing involving nonlocal interaction. By means of Darboux transformation, we obtained a family of exact breathers and solitons including the Peregrine soliton, Kuznetsov-Ma breather, Akhmediev breather along with all kinds of soliton-soliton and breather-soliton interactions. We analyze and emphasize the impact of the four-wave mixing on the nature and interaction of the solutions. We found that the presence of Four-Wave Mixing converts a two-soliton solution into an Akhmediev breather. In particular, the inclusion of Four-Wave Mixing results in the generation of a new solution which is spatially and temporally periodic called "Soliton (Breather) lattice".
arXiv comment10 pages, 7 figures
References in corpus (10)
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Financial Rogue Waves Appearing in the Coupled Nonlinear Volatility and Option Pricing Model
- Stability of solitons in PT-symmetric couplers
- Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
- 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
- PT-symmetric optical potentials in a coherent atomic medium
- Collisional Dynamics of Solitons in the Coupled PT symmetric Nonlocal nonlinear Schrodinger equations
- Rotation of the Trajectories of Bright soliton and Realignment of Intensity Distribution in the Coupled Nonlinear Schrodinger Equation