Chirped super–Gaussian and super–sech pulse perturbation of nonlinear Schrödinger's equation with quadratic–cubic nonlinearity by variational principle

2021 ◽  
Vol 396 ◽  
pp. 127231
Author(s):  
Amour Marc Ayela ◽  
Gaston Edah ◽  
Camille Elloh ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Variational Principle ◽  
Cubic Nonlinearity ◽  
Schrödinger’S Equation ◽  
Pulse Perturbation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

DYNAMICS OF SUPER-GAUSSIAN SOLITONS IN BIREFRINGENT OPTICAL FIBERS

2001 ◽  
Vol 10 (01) ◽  
pp. 29-42 ◽  
Author(s):  
ANJAN BISWAS
Keyword(s):  
Variational Principle ◽  
Optical Fibers ◽  
Adiabatic Evolution ◽  
Local Dispersion ◽  
Schrödinger’S Equation ◽  
Gaussian Solitons ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

The variational principle is employed to obtain the parameter dynamics of a super-Gaussian chirped soliton that propagates through birefringent optical fibers and is governed by the dispersion-managed vector nonlinear Schrödinger's equation. The waveform deviates from that of a classical soliton. The periodically changing strong chirp of such a soliton reduces the effective nonlinearity that is necessary for balancing the local dispersion. This study is extended to obtain the adiabatic evolution of the parameters of such a soliton in presence of perturbation terms.

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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