Journal article
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation
Abstract
Relying upon tools from the theory of integrable systems, we discuss the linear instability of the Kuznetsov–Ma breathers and the Akhmediev breathers of the focusing nonlinear Schrödinger equation. We use the Darboux transformation to construct simultaneously the breathers and the exact solutions of the Lax system associated with the breathers. We obtain a full description of the Lax spectra for the two breathers, including multiplicities of …
Authors
Haragus M; Pelinovsky DE
Journal
Journal of Nonlinear Science, Vol. 32, No. 5,
Publisher
Springer Nature
Publication Date
October 2022
DOI
10.1007/s00332-022-09819-4
ISSN
0938-8974