A novel noncommutative KdV-type equation, its recursion operator, and solitons
Mathematical Physics
2019-06-11 v1 Analysis of PDEs
math.MP
Abstract
A noncommutative KdV-type equation is introduced extending the Baecklund chart in [S. Carillo, M. Lo Schiavo, and C. Schiebold, SIGMA 12 (2016)]. This equation, called meta-mKdV here, is linked by Cole-Hopf transformations to the two noncommutative versions of the mKdV equations listed in [P.J. Olver and V.V. Sokolov Commun. Math. Phys. 193 (1998), Theorem 3.6]. For this meta-mKdV, and its mirror counterpart, recursion operators, hierarchies and an explicit solution class are derived.
Keywords
Cite
@article{arxiv.1704.03208,
title = {A novel noncommutative KdV-type equation, its recursion operator, and solitons},
author = {Sandra Carillo and Mauro Lo Schiavo and Egmont Porten and Cornelia Schiebold},
journal= {arXiv preprint arXiv:1704.03208},
year = {2019}
}