Wei, Hanyu; Tong, Yanchun; Xu, Ran The Darboux transformation of the derivative Manakov equation and its explicit solution. (English) Zbl 1363.35305 J. Math., Wuhan Univ. 36, No. 1, 6-16 (2016). Summary: In this paper, we present a new Darboux transformation for the derivative Manakov equation. By applying the Darboux transformation, we obtain new soliton solutions of the derivative Manakov soliton equation. Finally, the figures of the soliton solution are obtained by choosing the suitable parameters. MSC: 35Q51 Soliton equations 37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems Keywords:spectral problem; Darboux transformation; darboux matrix; explicit solution PDF BibTeX XML Cite \textit{H. Wei} et al., J. Math., Wuhan Univ. 36, No. 1, 6--16 (2016; Zbl 1363.35305)