Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-12-31
Nonlinear Sciences
Exactly Solvable and Integrable Systems
SPIE UNO-09-UN101-19, SPIE Volume: 7501, (2009)
Scientific paper
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and the soliton solutions. We use the Zakharov-Shabat dressing method to obtain the two-soliton solution and analyze the soliton interactions of the MNLS equations and some of their reductions.
Gerdjikov Vladimir S.
Kostov Nikolay A.
Valchev Tihomir I.
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