scholarly journals Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrödinger equation

2007 ◽  
Vol 75 (5) ◽  
pp. 620-623 ◽  
Author(s):  
R Grimshaw ◽  
K Nakkeeran ◽  
C K Poon ◽  
K W Chow
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Wave Solution ◽  
Variable Coefficient ◽  
Schrodinger Equation ◽  
Solitary Wave Solution ◽  
Nonlinear Schrodinger Equation ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document