Multi-component AKNS systems

被引：5
|
作者：
Gurses, Metin [1 ]
Pekcan, Asli [2 ]
机构：
[1] Bilkent Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkiye
[2] Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkiye
来源：
WAVE MOTION | 2023年 / 117卷
关键词：
Multi-component AKNS systems; Local and nonlocal reductions; Hirota method; Negative hierarchy; NONLINEAR SCHRODINGER-EQUATION; INVERSE SCATTERING TRANSFORM; DE-VRIES EQUATION; SOLITON-SOLUTIONS; N-SOLITONS; INTEGRABILITY; MODELS; NLS;
D O I：
10.1016/j.wavemoti.2022.103104
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
We study two members of the multi-component AKNS hierarchy. These are multi-NLS and multi-MKdV systems. We derive the Hirota bilinear forms of these equations and obtain soliton solutions. We find all possible local and nonlocal reductions of these systems of equations and give a prescription to obtain their soliton solutions. We derive also (2 + 1)-dimensional extensions of the multi-component AKNS systems. (c) 2022 Elsevier B.V. All rights reserved.
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收藏
页数：13
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