On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation

2021 ◽  
pp. 1-12
Author(s):  
Asıf Yokus ◽  
Münevver Tuz ◽  
Ufuk Güngöz
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Wave Solution ◽  
Schrodinger Equation ◽  
Travelling Wave ◽  
Nonlinear Schrodinger Equation ◽  
Travelling Wave Solution ◽  
Nonlinear Schrödinger

The rogue wave of the nonlinear Schrödinger equation with self-consistent sources

2018 ◽  
Vol 32 (30) ◽  
pp. 1850367 ◽  
Author(s):  
Yehui Huang ◽  
Hongqing Jing ◽  
Runliang Lin ◽  
Yuqin Yao
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Wave Solution ◽  
Schrodinger Equation ◽  
Rogue Wave ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Breather Solution ◽  
Rogue Wave Solution ◽  
Self Consistent

In this paper, we study the nonlinear Schrödinger equation with self-consistent sources, and obtain the rogue wave solution, the breather solution and their interactions by the generalized Darboux transformation. The dynamics of the rogue wave solution, the breather solution and their interactions are analyzed.

Bifurcation Behaviour of the Travelling Wave Solutions of the Perturbed Nonlinear Schrödinger Equation with Kerr Law Nonlinearity

2011 ◽  
Vol 66 (12) ◽  
pp. 721-727 ◽  
Author(s):  
Zai-Yun Zhang ◽  
Xiang-Yang Gan ◽  
De-Ming Yu
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Travelling Wave ◽  
Nonlinear Schrodinger Equation ◽  
Travelling Wave Solutions ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Kerr Law ◽  
Kerr Law Nonlinearity

In this paper, we study the bifurcations and dynamic behaviour of the travelling wave solutions of the perturbed nonlinear Schrödinger equation (NLSE) with Kerr law nonlinearity by using the theory of bifurcations of dynamic systems. Under the given parametric conditions, all possible representations of explicit exact solitary wave solutions and periodic wave solutions are obtained

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