Dynamical behaviour of solitons in a 𝒫𝒯-invariant nonlocal nonlinear Schrödinger equation with distributed coefficients

2018 ◽  
Vol 91 (11) ◽  
Author(s):  
Kannan Manikandan ◽  
Seenimuthu Stalin ◽  
Murugaian Senthilvelan
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Dynamical Behaviour ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Nonlocal Nonlinear Schrödinger Equation ◽  
Nonlocal Nonlinear

A general integrable three-component coupled nonlocal nonlinear Schrödinger equation

Nonlinear Dynamics ◽  
2017 ◽  
Vol 89 (4) ◽  
pp. 2729-2738 ◽  
Author(s):  
Yan Zhang ◽  
Yinping Liu ◽  
Xiaoyan Tang
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Nonlocal Nonlinear Schrödinger Equation ◽  
Nonlocal Nonlinear

scholarly journals On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation

Physics Letters A ◽  
2019 ◽  
Vol 383 (1) ◽  
pp. 15-26 ◽  
Author(s):  
N. Vishnu Priya ◽  
M. Senthilvelan ◽  
Govindan Rangarajan ◽  
M. Lakshmanan
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
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.

scholarly journals Nonintegrable spatial discrete nonlocal nonlinear schrödinger equation

10.1063/1.5123151 ◽  
2019 ◽  
Vol 29 (10) ◽  
pp. 103129 ◽  
Author(s):  
Jia-Liang Ji ◽  
Zong-Wei Xu ◽  
Zuo-Nong Zhu
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Nonlocal Nonlinear Schrödinger Equation ◽  
Nonlocal Nonlinear
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