Conservation laws and soliton solutions for a nonlinear Schrödinger equation with self-consistent sources in plasmas

2010 ◽  
Vol 81 (4) ◽  
pp. 045008 ◽  
Author(s):  
Min Li ◽  
Bo Tian ◽  
Wen-Jun Liu ◽  
Kun Sun ◽  
Yan Jiang ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Conservation Laws ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Self Consistent

scholarly journals The Soliton Solutions for the Nonlinear Schrödinger Equation with Self-consistent Source

2021 ◽  
Vol 36 ◽  
pp. 84-94
Author(s):  
A.A. Reyimberganov ◽  
◽  
I. D. Rakhimov ◽  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Hirota’S Method ◽  
Self Consistent ◽  
The One ◽  
Hirota's Method

In this paper by using Hirota’s method, the one and two soliton solutions of nonlinear Schr¨odinger equation with self-consistent source are studied. We have shown the evolution of the one and two soliton solutions in detail by using graphics.

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