Reductions of Darboux transformations for the PT-symmetric nonlocal Davey-Stewartson equations

被引：32
|
作者：
Yang, Bo
Chen, Yong [1 ]
机构：
[1] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 82卷
基金：
中国国家自然科学基金;
关键词：
PT-symmetric nonlocal; Davey-Stewartson equations; Darboux transformation; Rogue waves; SOLITONS;
D O I：
10.1016/j.aml.2017.12.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter, a study of the reductions of the Darboux transformations (DTs) for the PT-symmetric nonlocal Davey-Stewartson (DS) equations is presented. Firstly, a binary DT is constructed in integral form for the PT-symmetric nonlocal DS-I equation. Secondly, an elementary DT is constructed in differential form for the PT-symmetric nonlocal DS-II equation. Afterwards, a new binary DT in integral form is also found for the nonlocal DS-II equation. Moreover, it is shown that the symmetry properties in the corresponding Lax-pairs of the equations are well preserved through these DTs. Thirdly, based on above DTs, the fundamental rogue waves and rational travelling waves are obtained. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：43 / 49
页数：7
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