Exact multisolitons of noncommutative and commutative Lakshmanan-Porsezian-Daniel equation

Exact multisolitons of noncommutative and commutative Lakshmanan-Porsezian-Daniel equation
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非交换和交换Lakshmanan-Porsezian-Daniel方程的精确多重孤子

DOI:
10.1140/epjp/s13360-020-00505-6
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发表时间:
2020
影响因子:
3.4
通讯作者:
H. Wajahat A.
H. Wajahat A.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Riaz;H. Wajahat A.

文献摘要

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我们提出并研究了Lakshmanan-Porsezian-Daniel方程的一个非对易推广。对于这一推广,我们通过构造其零曲率表示、达布变换和多孤子解来证明它的可积性。在拟行列式的框架下,给出了五阶孤子解的显式表示。
We propose and study a noncommutative generalization of Lakshmanan-Porsezian-Daniel equation. For this generalization, we demonstrate its integrability by constructing its zero curvature representation, Darboux transformation and multisoliton solutions. The soliton solutions up to fifth order are presented explicitly within framework of quasideterminants.