Soliton solutions of cubic–quintic nonlinear Schrödinger equation with combined time-dependent magnetic–optical potentials

2015 ◽  
Vol 89 (10) ◽  
pp. 1065-1075 ◽  
Author(s):  
H. M. Li ◽  
J. Q. Zhao ◽  
L. Y. You
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Time Dependent ◽  
Nonlinear Schrödinger ◽  
Optical Potentials ◽  
Quintic Nonlinear Schrödinger Equation

scholarly journals On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity

2008 ◽  
Vol 2008 ◽  
pp. 1-14 ◽  
Author(s):  
Juan Belmonte-Beitia
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Bifurcation Theory ◽  
Schrodinger Equation ◽  
Chemical Potential ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Bose Einstein ◽  
Quintic Nonlinear Schrödinger Equation

We give a proof of the existence of stationary bright soliton solutions of the cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity. By using bifurcation theory, we prove that the norm of the positive solution goes to zero as the parameterλ, called chemical potential in the Bose-Einstein condensates' literature, tends to zero. Moreover, we solve the time-dependent cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearities by using a numerical method.

CUSP SOLITONS IN THE CUBIC QUINTIC NONLINEAR SCHRÖDINGER EQUATION

2001 ◽  
Vol 10 (03) ◽  
pp. 293-296 ◽  
Author(s):  
S. L. PALACIOS
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Quintic Nonlinear Schrödinger Equation

A new set of soliton solutions for the cubic quintic nonlinear Schrödinger (CQNLS) equation is found. When particular cases are analyzed the conventional hyperbolic secant solitons of the NLS and CQNLS equations are obtained.

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