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Explicit solutions for nonlocal NLS: GBDT and algebro-geometric approaches
Published 13 Jun 2018 in math.AP, math-ph, math.AG, math.MP, and nlin.SI | (1806.05019v1)
Abstract: We apply the GBDT version of the B\"acklund-Darboux transformation to the nonlocal NLS (focusing and defocusing cases). The matrix case is included and solutions in the form of rectangular $m_1 \times m_2$ matrix functions are dealt with. The wave function is also constructed explicitly. Families of explicit examples are considered in detail. Some initial results and representations for the more complicated algebro-geometric solutions are obtained as well.
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