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Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions

A. B. Hasanov, M. M. Hasanov

Urgench State University, Urgench, Uzbekistan

Abstract: We study the inverse spectral problem for integrating the nonlinear Schrödinger equation with an additional term in the class of periodic functions.

Keywords: nonlinear Schrödinger equation, Dirac operator, inverse spectral problem, Dubrovin equation, trace formula.

PACS: 37K15

MSC: 37K15

Received: 16.04.2018
Revised: 16.04.2018

DOI: 10.4213/tmf9581

 English version: Theoretical and Mathematical Physics, 2019, 199:1, 525–532

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