Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities

2011 ◽  
Vol 34 (8) ◽  
pp. 958-962 ◽  
Author(s):  
Houria Triki ◽  
Anjan Biswas
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Power Law ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Dark Solitons ◽  
Parabolic Law ◽  
Generalized Nonlinear Schrödinger Equation ◽  
Dual Power

scholarly journals Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity

2015 ◽  
Vol 2015 ◽  
pp. 1-16
Author(s):  
Qing Meng ◽  
Bin He ◽  
Zhenyang Li
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Power Law ◽  
Bifurcation Theory ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Point Of View ◽  
Phase Portraits ◽  
Nonlinear Schrödinger ◽  
Dual Power

The (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves is proved and all possible explicit parametric representations of these waves are presented.

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