scholarly journals A study of optical solitons with Kerr and power law nonlinearities by He's variational principle

2009 ◽  
Vol 4 ◽  
Author(s):  
Engin Topkara ◽  
Daniela Milovic ◽  
Amarendra K. Sarma ◽  
Fayequa Majid ◽  
Anjan Biswas
Keyword(s):  
Variational Principle ◽  
Power Law ◽  
Optical Solitons

Dark optical solitons with power law nonlinearity using G′/G-expansion

Optik ◽  
2014 ◽  
Vol 125 (17) ◽  
pp. 4603-4608 ◽  
Author(s):  
Anjan Biswas ◽  
M. Mirzazadeh
Keyword(s):  
Power Law ◽  
Optical Solitons

TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION

2010 ◽  
Vol 24 (16) ◽  
pp. 1825-1831 ◽  
Author(s):  
BENJAMIN STURDEVANT ◽  
DAWN A. LOTT ◽  
ANJAN BISWAS
Keyword(s):  
Solitary Wave ◽  
Power Law ◽  
Soliton Solution ◽  
Optical Solitons ◽  
Nonlinear Dispersion ◽  
Kerr Law

This paper talks about obtaining an exact 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation with nonlinear dispersion. The solitary wave ansatz will be used to carry out the integration. It will be proved that dark optical solitons can exist only when the power law nonlinearity reduces to Kerr law.

DYNAMICS OF SUPER-SECH SOLITONS IN OPTICAL FIBERS

2010 ◽  
Vol 19 (02) ◽  
pp. 339-370 ◽  
Author(s):  
PATRICE GREEN ◽  
DANIELA MILOVIC ◽  
AMARENDRA K. SARMA ◽  
DAWN A. LOTT ◽  
ANJAN BISWAS
Keyword(s):  
Variational Principle ◽  
Numerical Simulations ◽  
Optical Fibers ◽  
Optical Solitons

This paper obtains the parameter dynamics of super-sech optical solitons propagating through optical fibers. The variational principle is applied to obtain these parameter dynamics. Both polarization preserving fibers as well as birefringent fibers are studied in this paper. The study is then finally extended to the case of DWDM systems. The adiabatic parameter dynamics of soliton parameters is then obtained in the presence of perturbation terms. The numerical simulations are also obtained to complete the analysis.

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