Exact solutions of the nonlinear Schrödinger equation for the normal-dispersion regime in optical fibers

1992 ◽  
Vol 45 (9) ◽  
pp. 6730-6734 ◽  
Author(s):  
D. Mihalache ◽  
N. C. Panoiu
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Optical Fibers ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Normal Dispersion ◽  
Nonlinear Schrödinger ◽  
Dispersion Regime

AN ALTERNATIVE SET OF BRIGHT AND DARK SOLITON SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION

2001 ◽  
Vol 10 (04) ◽  
pp. 403-407 ◽  
Author(s):  
S. L. PALACIOS
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Nonlinear Schrodinger Equation ◽  
Normal Dispersion ◽  
Nonlinear Schrödinger ◽  
Dispersion Regime ◽  
Alternative Set

An alternative set of soliton solutions for the nonlinear Schrödinger equation is found. When particular cases are analyzed it is shown that bright picosecond solitons are possible in the normal and anomalous dispersion regions of an optical fibre but dark picosecond solitons can only exist in the normal dispersion regime. Also, pulse peak power and width are determined.

scholarly journals Exact Solutions of the Generalized Nonlinear Schrodinger Equation

2021 ◽  
pp. 18-25
Author(s):  
Gaukhar Shaikhova ◽  
Arailym Syzdykova ◽  
Samgar Daulet
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Partial Differential Equations ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Physical Problems ◽  
Different Types ◽  
Generalized Nonlinear Schrödinger Equation

In this work, the generalized nonlinear Schrodinger equation is investigated. Exact solutions are derived by the sinecosine method. This method is used to obtain the exact solutions for different types of nonlinear partial differential equations. Graphs of obtained solutions are presented. The obtained solutions are found to be important for the explanation of some practical physical problems.

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