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The Darboux transformation of the derivative Manakov equation and its explicit solution. (English) Zbl 1363.35305
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
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