Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation

2017 ◽  
Vol 88 (3) ◽  
pp. 1615-1622 ◽  
Author(s):  
Hui-Qin Hao ◽  
Rui Guo ◽  
Jian-Wen Zhang
Keyword(s):  
Schrödinger Equation ◽  
Conservation Laws ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Nonlinear Schrödinger

Study of modulation instability analysis and optical soliton solutions of higher-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity

2019 ◽  
Vol 33 (25) ◽  
pp. 1950309
Author(s):  
Naila Nasreen ◽  
Aly R. Seadawy ◽  
Dianchen Lu
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Power Law ◽  
Schrodinger Equation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Mapping Technique ◽  
Nonlinear Schrödinger ◽  
Dual Power

In this paper, based on proposed Riccati mapping technique, we investigated the soliton solutions of fourth-order dispersive nonlinear Schrödinger equation with nonlinearity of dual-power law. The various types of solitons solutions involving some parameters are constructed. These soliton solutions can be useful for understanding the physical nature of the waves spread in the dispersive medium. Furthermore, the Modulation Instability (MI) is discussed by standard linear-stability analysis that shows all achieved results are exact and stable. The movements of some achieved results were presented graphically by giving suitable values to parameters that provide easy understanding to the physical phenomenon of this dynamical model. The obtained results show the simplicity and efficiency of the current used approach.

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