Quasi-Grammian solutions of a multi-component short pulse equation

被引：1
|
作者：
Riaz, H. Wajahat A. [1 ]
ul Hassan, Mahmood [2 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] Univ Punjab, Dept Phys, Quaid e Azam Campus, Lahore 54590, Pakistan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 155卷
关键词：
Integrable systems; Solitons; Binary Darboux transformation; DARBOUX TRANSFORMATIONS; DISCRETE;
D O I：
10.1016/j.geomphys.2020.103766
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the standard binary Darboux transformation of the multi-component short pulse (SP) equation. For this purpose, we construct the Darboux matrix from the particular eigenvector solutions to the Lax pair not only in the direct space but also in the adjoint space and obtain the binary Darboux matrix. By iterating its standard binary Darboux transformation, we obtain quasi-Grammian soliton solutions for the multi-component SP equation. We also derive explicitly, loop-soliton solutions for the one and two component cases. (C) 2020 Elsevier B.V. All rights reserved.
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页数：13
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