Abstract
In this work the method of inverse spectral problem is applied to the integration of the nonlinear Schrödinger equation with a self-consistent source in the class of periodic functions.
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Yakhshimuratov, A. The Nonlinear Schrödinger Equation with a Self-consistent Source in the Class of Periodic Functions. Math Phys Anal Geom 14, 153–169 (2011). https://doi.org/10.1007/s11040-011-9091-5
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DOI: https://doi.org/10.1007/s11040-011-9091-5
Keywords
- Dirac’s operator
- Spectral data
- The system of equations of Dubrovin–Trubowitz
- Nonlinear Schrödinger equation with a self-consistent source