Ciet Pierluigi
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Pierluigi Ciet

A Matrix Schrodinger Approach to Focusing Nonlinear Schrodinger Equations with Nonvanishing Boundary Conditions

Demontis, F
;van der Mee, C
2022-01-01

Abstract

We relate the scattering theory of the focusing AKNS system with equally sized nonvanishing boundary conditions to that of the matrix Schrodinger equation. This (shifted) Miura transformation converts the focusing matrix nonlinear Schrodinger (NLS) equation into a new nonlocal integrable equation. We apply the matrix triplet method of solving the Marchenko integral equations by separation of variables to derive the multisoliton solutions of this nonlocal equation, thus proposing a method to solve the reflectionless matrix NLS equation.
2022
Inglese
JOURNAL OF NONLINEAR SCIENCE
32
4
57
29
WOS:000809567000002
2-s2.0-85131805134
https://link.springer.com/article/10.1007/s00332-022-09816-7
Esperti anonimi
internazionale
scientifica
Miura transformation; Matrix KdV equation; Matrix NLS equation; Matrix triplet method; Integrable nonlocal equation
no
Demontis, F; van der Mee, C
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
2
open
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