N-Soliton Solutions and Inelastic Interaction For a Discretized Second-Order in Time Nonlinear Schrödinger Equation

2013 ◽  
Vol 72 (3) ◽  
pp. 349-367 ◽  
Author(s):  
Xiao-Yong Wen ◽  
Deng-Shan Wang ◽  
Xiang-Hua Meng
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Second Order ◽  
Inelastic Interaction ◽  
Nonlinear Schrödinger ◽  
Second Order In Time

scholarly journals On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 111-118
Author(s):  
Hadi Rezazadeh ◽  
Waleed Adel ◽  
Mostafa Eslami ◽  
Kalim U. Tariq ◽  
Seyed Mehdi Mirhosseini-Alizamini ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Group Velocity Dispersion ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Nonlinear Schrodinger Equation ◽  
Second Order ◽  
Wave Transformation ◽  
Nonlinear Schrödinger

Abstract In this article, the sine-Gordon expansion method is employed to find some new traveling wave solutions to the nonlinear Schrödinger equation with the coefficients of both group velocity dispersion and second-order spatiotemporal dispersion. The nonlinear model is reduced to an ordinary differential equation by introducing an intelligible wave transformation. A set of new exact solutions are observed corresponding to various parameters. These novel soliton solutions are depicted in figures, revealing the new physical behavior of the acquired solutions. The method proves its ability to provide good new approximate solutions with some applications in science. Moreover, the associated solution of the presented method can be extended to solve more complex models.

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