Integrable Nonlocal Nonlinear Schrodinger Equation

被引：699
|
作者：
Ablowitz, Mark J. [1 ]
Musslimani, Ziad H. [2 ]
机构：
[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA
[2] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA
来源：
PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 06期
基金：
美国国家科学基金会;
关键词：
INVERSE SCATTERING TRANSFORM;
D O I：
10.1103/PhysRevLett.110.064105
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new integrable nonlocal nonlinear Schrodinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contrasted with the classical nonlinear Schrodinger equation. DOI: 10.1103/PhysRevLett.110.064105
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