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arxiv: 1510.00908 · v1 · pith:QI34KS7Jnew · submitted 2015-10-04 · 🌊 nlin.SI · math-ph· math.MP

Soliton Fay identities. II. Bright soliton case

classification 🌊 nlin.SI math-phmath.MP
keywords solitonidentitiesbrightsolutionsablowitz-ladikapplicationbeenbilinear
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We present a set of bilinear matrix identities that generalize the ones that have been used to construct the bright soliton solutions for various models. As an example of an application of these identities, we present a simple derivation of the N-bright soliton solutions for the Ablowitz-Ladik hierarchy.

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