Nonlocal nonlinear Schrodinger equations and their soliton solutions

被引：125
|
作者：
Gurses, Metin [1 ]
Pekcan, Asli [2 ]
机构：
[1] Bilkent Univ, Dept Math, Fac Sci, TR-06800 Ankara, Turkey
[2] Hacettepe Univ, Dept Math, Fac Sci, TR-06800 Ankara, Turkey
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 05期
关键词：
D O I：
10.1063/1.4997835
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study standard and nonlocal nonlinear Schrodinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standard and nonlocal reductions, respectively. By using the Hirota bilinear method, we first find soliton solutions of the coupled NLS system of equations; then using the reduction formulas, we find the soliton solutions of the standard and nonlocal NLS equations. We give examples for particular values of the parameters and plot the function vertical bar Iq(t, x)vertical bar(2) for the standard and nonlocal NLS equations. Published by AIP Publishing.
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页数：17
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