scholarly journals Exact bright and dark spatial soliton solutions in saturable nonlinear media

2009 ◽  
Vol 41 (4) ◽  
pp. 1791-1798 ◽  
Author(s):  
Gabriel F. Calvo ◽  
Juan Belmonte-Beitia ◽  
Víctor M. Pérez-García
Keyword(s):  
Soliton Solutions ◽  
Spatial Soliton ◽  
Nonlinear Media

scholarly journals GAUSSIAN-TYPE BREATH MODES OF SPATIAL SOLITON FORMED IN LOGARITHMICALLY SATURABLE NONLINEAR MEDIA

1999 ◽  
Vol 48 (7) ◽  
pp. 1248
Author(s):  
TANG YONG-LIN ◽  
LI DA-YI ◽  
CHEN JIAN-GUO ◽  
KANG JUN
Keyword(s):  
Spatial Soliton ◽  
Nonlinear Media ◽  
Gaussian Type

Optical solitons in nonlinear directional couplers with G′/G-expansion scheme

2015 ◽  
Vol 24 (02) ◽  
pp. 1550017 ◽  
Author(s):  
Mohammad Mirzazadeh ◽  
Mostafa Eslami ◽  
Qin Zhou ◽  
M. F. Mahmood ◽  
Essaid Zerrad ◽  
...  
Keyword(s):  
Power Law ◽  
Soliton Solutions ◽  
Nearest Neighbors ◽  
Optical Solitons ◽  
Nonlinear Media ◽  
Parabolic Law ◽  
Kerr Law ◽  
Singular Soliton ◽  
Optical Couplers ◽  
Expansion Scheme

This paper obtains soliton solutions in optical couplers. The governing equation is solved by the aid of G′/G-expansion scheme. There are four types of nonlinear media that are taken into consideration. These are Kerr law, power law, parabolic law, and dual-power law. There are two kinds optical couplers studied in this paper. They are twin-core couplers and multiple-core couplers, where coupling with nearest neighbors as well as coupling with all neighbors are considered. Dark and singular soliton solutions are retrieved. These soliton solutions come with constraint conditions that must hold for the solitons to exist.

scholarly journals Rotating soliton solutions in nonlocal nonlinear media

2008 ◽  
Vol 16 (12) ◽  
pp. 9118 ◽  
Author(s):  
S. Skupin ◽  
M. Grech ◽  
W. Królikowski
Keyword(s):  
Soliton Solutions ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Nonlocal Nonlinear

An analytical method for soliton solutions of perturbed Schrödinger’s equation with quadratic-cubic nonlinearity

2019 ◽  
Vol 33 (03) ◽  
pp. 1950018 ◽  
Author(s):  
Behzad Ghanbari ◽  
Nauman Raza
Keyword(s):  
Traveling Wave ◽  
Function Method ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Cubic Nonlinearity ◽  
Nonlinear Media ◽  
Schrödinger’S Equation ◽  
Wave Solutions ◽  
First Time ◽  
Schrödinger's Equation

In this study, we acquire some new exact traveling wave solutions to the nonlinear Schrödinger’s equation in the presence of Hamiltonian perturbations. The compendious integration tool, generalized exponential rational function method (GERFM), is utilized in the presence of quadratic-cubic nonlinear media. The obtained results depict the efficiency of the proposed scheme and are being reported for the first time.

Spatial Soliton Solutions in a Harmonic Potential

2009 ◽  
Vol 26 (7) ◽  
pp. 074215 ◽  
Author(s):  
Xu Si-Liu ◽  
Liang Jian-Chu ◽  
Yi Lin
Keyword(s):  
Soliton Solutions ◽  
Harmonic Potential ◽  
Spatial Soliton

SPATIAL SOLITARY WAVES IN GENERALIZED NON-LOCAL NONLINEAR MEDIA

2010 ◽  
Vol 19 (02) ◽  
pp. 311-317 ◽  
Author(s):  
WEI-PING ZHONG ◽  
ZHENG-PING YANG
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Initial Conditions ◽  
Soliton Solutions ◽  
Solitary Wave Solutions ◽  
Cylindrical Coordinates ◽  
Intensity Pattern ◽  
Nonlinear Media ◽  
Wave Solutions ◽  
Non Local

We introduce a very general self-trapped beam solution to the generalized non-local nonlinear Schrödinger equation in cylindrical coordinates, by combining superpositions of the known single accessible soliton solutions. Specific values of soliton parameters are selected as initial conditions and superpositions of the single soliton solutions in the highly non-local regime are launched into the non-local nonlinear medium with Gaussian response function, to obtain novel numerical solitary wave solutions. Novel solitary waves have been constructed that exhibit unique features whose intensity pattern is formed by various figures.

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