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Article Dans Une Revue Journal of Mathematical Sciences and Modelling Année : 2022

Quasi-Rational and Rational Solutions to the Defocusing Nonlinear Schrödinger Equation

Résumé

Quasi-rational solutions to the defocusing nonlinear Schrodinger 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.

Dates et versions

hal-03952817 , version 1 (23-01-2023)

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Citer

Pierre Gaillard. Quasi-Rational and Rational Solutions to the Defocusing Nonlinear Schrödinger Equation. Journal of Mathematical Sciences and Modelling, 2022, 5 (1), pp.24-34. ⟨10.33187/jmsm.990955⟩. ⟨hal-03952817⟩
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