Exact solitons to generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity

Optik ◽  
2017 ◽  
Vol 130 ◽  
pp. 178-183 ◽  
Author(s):  
M. Mirzazadeh ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
Anjan Biswas
Keyword(s):  
Power Law ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

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.

OPTICAL SOLITONS WITH DUAL-POWER LAW NONLINEARITY USING LIE SYMMETRIES

2010 ◽  
Vol 24 (17) ◽  
pp. 1833-1838 ◽  
Author(s):  
C. MASOOD KHALIQUE ◽  
ANJAN BISWAS
Keyword(s):  
Power Law ◽  
Soliton Solution ◽  
Optical Solitons ◽  
Lie Symmetry ◽  
Lie Symmetries ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation ◽  
Dual Power

This paper obtains the stationary optical 1-soliton solution of the nonlinear Schrödinger's equation with dual-power law nonlinearity. The technique of Lie symmetry is used to obtain the solution.

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