Exact multisolitons of noncommutative and commutative Lakshmanan–Porsezian–Daniel equation
Department of Mathematics, China University of Mining and Technology, 100083, Beijing, People’s Republic of China
Accepted: 3 June 2020
Published online: 19 June 2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020