most citedPeriodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems

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nlin.SI2023★ 5 cited

Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems

Dmitry Shepelsky, Iryna Karpenko, Stepan Bogdanov +1

We consider the Riemann--Hilbert (RH) approach to the construction of periodic finite-band solutions to the focusing nonlinear Schrödinger (NLS) equation. An RH problem for the sol…