Noncommutative negative order AKNS equation and its soliton solutions

被引：5

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.

引用

页数：17

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