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.
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The author would like to thank Professor QP Liu for reading the paper and giving many suggestions. The author would also like to thank Department of Physics, University of the Punjab, Lahore, Pakistan for providing the research facilities where the most part of this work was carried out. This work is supported by the National Natural Science Foundation of China (Grant Nos. 11871471, 11331008 and 11931017), Foreign Experts Scientific Cooperation Fund.
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Riaz, H.W.A. Exact multisolitons of noncommutative and commutative Lakshmanan–Porsezian–Daniel equation. Eur. Phys. J. Plus 135, 508 (2020). https://doi.org/10.1140/epjp/s13360-020-00505-6