Soliton perturbation theory for the modified nonlinear Schrödinger’s equation

2007 ◽  
Vol 12 (6) ◽  
pp. 886-903 ◽  
Author(s):  
Anjan Biswas ◽  
K. Porsezian
Keyword(s):  
Perturbation Theory ◽  
Schrödinger’S Equation ◽  
Soliton Perturbation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

DISPERSION-MANAGED SOLITONS IN OPTICAL COUPLERS

2003 ◽  
Vol 12 (01) ◽  
pp. 45-74 ◽  
Author(s):  
ANJAN BISWAS
Keyword(s):  
Perturbation Theory ◽  
Schrödinger’S Equation ◽  
Soliton Perturbation ◽  
Gaussian Solitons ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation ◽  
Optical Couplers

The soliton perturbation theory is employed to study chirped solitons that propagate through optical couplers and is governed by the dispersion-managed nonlinear Schrödinger's equation. Here, in this paper, we have considered both kinds of couplers namely twin-core as well as the multiple-core type. In either case, both Gaussian and super-Gaussian solitons are taken into account.

Optical Soliton Perturbation with Improved Nonlinear Schrödinger's Equation in Nano Fibers

2013 ◽  
Vol 8 (2) ◽  
pp. 208-220 ◽  
Author(s):  
Michelle Savescu ◽  
Kaisar R. Khan ◽  
Russell W. Kohl ◽  
Luminita Moraru ◽  
Ahmet Yildirim ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Schrödinger’S Equation ◽  
Soliton Perturbation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRÖDINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE

2012 ◽  
Vol 21 (04) ◽  
pp. 1250054 ◽  
Author(s):  
ANJAN BISWAS ◽  
DANIELA MILOVIC ◽  
MICHELLE SAVESCU ◽  
MOHAMMAD F. MAHMOOD ◽  
KAISAR R. KHAN ◽  
...  
Keyword(s):  
Variational Principle ◽  
Optical Fibers ◽  
Soliton Solutions ◽  
Schrödinger’S Equation ◽  
Soliton Perturbation ◽  
Kerr Law ◽  
Log Law ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

This paper studies the perturbation of the improved version of the nonlinear Schrödinger's equation that governs the propagation of solitons through nonlinear optical fibers. The semi-inverse variational principle is employed in order to obtain an analytical soliton solution in presence of the perturbation terms. There are three types of nonlinearity that will be studied. They are Kerr law, power law and the log law. The constraint conditions will naturally fall out in order for the soliton solutions to exist. The numerical simulations supplement the analytical results for each of the three laws of nonlinearity.

New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity

2020 ◽  
Vol 34 (06) ◽  
pp. 2050032 ◽  
Author(s):  
Khalid K. Ali ◽  
Hadi Rezazadeh ◽  
R. A. Talarposhti ◽  
Ahmet Bekir
Keyword(s):  
Power Law ◽  
Soliton Solutions ◽  
Schrödinger’S Equation ◽  
Modified Kudryashov Method ◽  
Cubic Law ◽  
Kudryashov Method ◽  
Full Nonlinearity ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

In this paper, we discuss deep visual solutions of resonant nonlinear Schrödinger’s equation having full nonlinearity via taking the modified Kudryashov method. There are four types of nonlinearity in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law and triple-power law. By performing this algorithm, logarithmical and rational solitons are deduced.

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