Noncommutative negative order AKNS equation and its soliton solutions

被引：4
|
作者：
Riaz, H. Wajahat A. [1 ]
ul Hassan, Mahmood [1 ]
机构：
[1] Univ Punjab, Dept Phys, Quaid E Azam Campus, Lahore 54590, Pakistan
来源：
MODERN PHYSICS LETTERS A | 2018年 / 33卷 / 35期
关键词：
Noncommutative integrable systems; quasideterminants; Darboux transformation; solitons; DISCRETE; TRANSFORMATION; PROPAGATION;
D O I：
10.1142/S0217732318502097
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A noncommutative negative order AKNS (NC-AKNS(-1)) equation is studied. To show the integrability of the system, we present explicitly the underlying integrable structure such as Lax pair, zero-curvature condition, an infinite sequence of conserved densities, Darboux transformation (DT) and quasideterminant soliton solutions. Moreover, the NC-AKNS(-1) equation is compared with its commutative counterpart not only on the level of nonlinear evolution equation but also for the explicit solutions.
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页数：17
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