| Issue |
EPL
Volume 132, Number 6, December 2020
|
|
|---|---|---|
| Article Number | 64001 | |
| Number of page(s) | 5 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/132/64001 | |
| Published online | 01 March 2021 | |
Exact discrete spectrum of the Zakharov-Shabat scattering problem for a phase-modulated wave packet
1 Optics Department, Instituto Nacional de Astrofisica, Óptica y Electónica - 1 Luis Enrique Erro, 72840 Tonantzintla, Pue., Mexico
2 Universidad de las Americas, Ex- Hacienda Santa Catarina Mártir - 72810 San Andrés Cholula, Pue., Mexico
Received: 26 August 2020
Accepted: 10 November 2020
The simple exact Zakharov-Shabat scattering problem discrete spectrum is presented for the special initial data of the nonlinear Schrödinger equation, having the form ![$q(x)=A\exp [iB\log ( \cosh (x ) )] /\cosh(x)$](/articles/epl/abs/2020/24/epl20381/epl20381_tex_eq1.png)
. The salient features of this solution and the issues of its stability are discussed.
PACS: 42.65.-k – Nonlinear optics / 42.81.Dp – Propagation, scattering, and losses; solitons / 05.45.Yv – Solitons
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