期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 55, 期 3, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4868483
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资金
- National Science Foundation [DMS-1009453, DMS-1311847]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1009453, 1311847] Funding Source: National Science Foundation
The inverse scattering transform for the focusing nonlinear Schrodinger equation with non-zero boundary conditions at infinity is presented, including the determination of the analyticity of the scattering eigenfunctions, the introduction of the appropriate Riemann surface and uniformization variable, the symmetries, discrete spectrum, asymptotics, trace formulae and the so-called theta condition, and the formulation of the inverse problem in terms of a Riemann-Hilbert problem. In addition, the general behavior of the soliton solutions is discussed, as well as the reductions to all special cases previously discussed in the literature. (c) 2014 AIP Publishing LLC.
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