scholarly journals General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

Nonlinearity ◽  
2018 ◽  
Vol 31 (12) ◽  
pp. 5385-5409 ◽  
Author(s):  
Bao-Feng Feng ◽  
Xu-Dan Luo ◽  
Mark J Ablowitz ◽  
Ziad H Musslimani
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Nonlinear Schrödinger Equation ◽  
Soliton Solution ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Nonzero Boundary ◽  
Nonlocal Nonlinear Schrödinger Equation ◽  
Nonlocal Nonlinear

Rational soliton solutions of the nonlocal nonlinear Schrödinger equation by the KP reduction method

2019 ◽  
Vol 33 (30) ◽  
pp. 1950362
Author(s):  
Donghua Wang ◽  
Yehui Huang ◽  
Xuelin Yong ◽  
Jinping Zhang
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Reduction Method ◽  
Nonlinear Schrodinger Equation ◽  
Rational Solutions ◽  
Bilinear Method ◽  
Nonlinear Schrödinger ◽  
Nonlocal Nonlinear Schrödinger Equation ◽  
Nonlocal Nonlinear

In this paper, we present the construction of the rational solutions to the nonlocal nonlinear Schrödinger equation by the bilinear method and KP reduction method. The solutions are given in determinant form, the first- and second-order rational solutions are analyzed for their dynamic behaviors.

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