Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

2021 ◽  
Author(s):  
Changming Huang ◽  
Hanying Deng ◽  
Liangwei Dong ◽  
Ce Shang ◽  
Bo Zhao ◽  
...  
Keyword(s):  
Optical Solitons ◽  
Nonlocal Nonlinearity

scholarly journals Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity

2021 ◽  
Vol 24 (1) ◽  
pp. 64-70
Author(s):  
Y. Yildirim ◽  
◽  
A. Biswas ◽  
A.H. Kara ◽  
M. Ekici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Nonlinear Refractive Index ◽  
Conservation Law ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Complete Picture ◽  
Nonlocal Nonlinearity ◽  
Dual Form ◽  
Soliton Perturbation

This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power law and dual form of nonlocal nonlinearity. The conservation law has been also exhibited to paint a complete picture of the model.

Exact solitons in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity

2015 ◽  
Vol 24 (04) ◽  
pp. 1550049 ◽  
Author(s):  
Muhammad Younis ◽  
Ali Sardar ◽  
Syed Tahir Raza Rizvi ◽  
Qin Zhou
Keyword(s):  
Physical Model ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Nonlocal Nonlinearity ◽  
Parabolic Law ◽  
Parabolic Law Nonlinearity ◽  
Expansion Scheme

This work studies the optical solitons in the physical model that describes the propagation of optical solitons in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity via the [Formula: see text]-expansion scheme, exact dark and singular one-soliton solutions, along with the constraint conditions, are reported.

The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing

2019 ◽  
Vol 58 ◽  
pp. 137-150 ◽  
Author(s):  
Huitzilin Yépez-Martínez ◽  
Hadi Rezazadeh ◽  
Abbagari Souleymanou ◽  
Serge Paulin Takougoum Mukam ◽  
Mostafa Eslami ◽  
...  
Keyword(s):  
Four Wave Mixing ◽  
Optical Solitons ◽  
Wave Mixing ◽  
Nonlocal Nonlinearity ◽  
Modified Method

scholarly journals Discrete Nonlinear Schrödinger Systems for Periodic Media with Nonlocal Nonlinearity: The Case of Nematic Liquid Crystals

2021 ◽  
Vol 11 (10) ◽  
pp. 4420
Author(s):  
Panayotis Panayotaros
Keyword(s):  
Differential Equation ◽  
Infinite System ◽  
Linear Part ◽  
Optical Power ◽  
Explicit Construction ◽  
Translation Invariance ◽  
Nonlocal Nonlinearity ◽  
Wannier Functions ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems

We study properties of an infinite system of discrete nonlinear Schrödinger equations that is equivalent to a coupled Schrödinger-elliptic differential equation with periodic coefficients. The differential equation was derived as a model for laser beam propagation in optical waveguide arrays in a nematic liquid crystal substrate and can be relevant to related systems with nonlocal nonlinearities. The infinite system is obtained by expanding the relevant physical quantities in a Wannier function basis associated to a periodic Schrödinger operator appearing in the problem. We show that the model can describe stable beams, and we estimate the optical power at different length scales. The main result of the paper is the Hamiltonian structure of the infinite system, assuming that the Wannier functions are real. We also give an explicit construction of real Wannier functions, and examine translation invariance properties of the linear part of the system in the Wannier basis.

Sign in / Sign up

Export Citation Format

Share Document