Breather and lump solutions for nonlocal Davey-Stewartson II equation. (English) Zbl 1437.37091
Summary: A binary Darboux transformation for the nonlocal Davey-Stewartson II equation is constructed by the Darboux matrix method. As applications, N-soliton, breather and lump solutions of the considered equation have been obtained. In particular, the dynamics of the single soliton, two-soliton, breather and lump solutions are discussed and illustrated through some figures.
MSC:
| 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 |
| 35C08 | Soliton solutions |
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