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Integration of a defocusing nonlinear Schrödinger equation with additional terms

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Abstract

The inverse spectral problem method is used to integrate the nonlinear Schrödinger equation with some additional terms in the class of infinite-gap periodic functions. We reveal the evolution of spectral data for a periodic Dirac operator whose coefficients solve the Cauchy problem for a nonlinear Schrödinger equation with some additional terms. Several examples are given to illustrate the algorithm described in the paper.

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  1. Samarkand State University, Samarkand, Uzbekistan

    U. B. Muminov & A. B. Khasanov

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  1. U. B. Muminov
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  2. A. B. Khasanov
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Correspondence to A. B. Khasanov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 211, pp. 84–104 https://doi.org/10.4213/tmf10073.

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Muminov, U.B., Khasanov, A.B. Integration of a defocusing nonlinear Schrödinger equation with additional terms. Theor Math Phys 211, 514–531 (2022). https://doi.org/10.1134/S0040577922040067

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