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arXiv · 1806.05019

Explicit solutions for nonlocal NLS: GBDT and algebro-geometric approaches

J. Michor·A. L. Sakhnovich
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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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J. Michor, A. L. Sakhnovich. 2018-06-13. Explicit solutions for nonlocal NLS: GBDT and algebro-geometric approaches. https://doi.org/10.1088/1751-8121/aaedeb

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