COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS+ EQUATION WITH NONVANISHING BOUNDARY CONDITION |
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Institution: | Department of Physics, and National Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; Department of Physics, Wuhan University, Wuhan 430072; Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China |
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Abstract: | In the case of the NLS+ equation with nonvanishing boundary condition, a complete set of the Jost solutions is chosen, and its completeness is shown by means of the Marchenko inverse scattering equation. |
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