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Preprints, Working Papers, ... Year : 2022

The defocusing NLS equation : quasi-rational and rational solutions

Abstract

Quasi-rational solutions to the defocusing nonlinear Schrödinger equation (dNLS) in terms of wronskians and Fredholm determinants of order 2N depending on 2N − 2 real parameters are given. We get families of quasi-rational solutions to the dNLS equation expressed as a quotient of two polynomials of degree N (N + 1) in the variables x and t. We present also rational solutions as a quotient of determinants involving certain particular polynomials.
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Dates and versions

hal-03789964 , version 1 (27-09-2022)

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  • HAL Id : hal-03789964 , version 1

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Pierre Gaillard. The defocusing NLS equation : quasi-rational and rational solutions. 2022. ⟨hal-03789964⟩
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