A novel noncommutative KdV-type equation, its recursion operator, and solitons

被引：10
|
作者：
Carillo, Sandra [1 ,2 ]
Lo Schiavo, Mauro [1 ]
Porten, Egmont [3 ,4 ]
Schiebold, Cornelia [3 ,4 ]
机构：
[1] Sapienza Univ Roma, Dipartimento SBAI, Rome, Italy
[2] INFN, Sez Roma 1, Gr Math Methods NonLinear Phys 4, Rome, Italy
[3] Mid Sweden Univ, MOD, Sundsvall, Sweden
[4] Uniwersytet Jana Kochanowskiego Kielcach, Inst Matemat, Kielce, Poland
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 04期
关键词：
MATRIX GENERALIZATION; EVOLUTION-EQUATIONS;
D O I：
10.1063/1.5027481
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A noncommutative KdV-type equation is introduced extending the Backlund chart in Carillo et al. [Symmetry Integrability Geom.: Methods Appl. 12, 087 (2016)]. This equation, called meta-mKdV here, is linked by Cole-Hopf transformations to the two noncommutative versions of the mKdV equations listed in Olver and Sokolov [Commun. Math. Phys. 193, 245 (1998), Theorem 3.6]. For this meta-mKdV, and its mirror counterpart, recursion operators, hierarchies, and an explicit solution class are derived. Published by AIP Publishing.
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页数：14
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