Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Aleksandr O. Smirnov"'
Publikováno v:
Symmetry, Vol 16, Iss 1, p 60 (2024)
We propose a new hierarchy of the vector derivative nonlinear Schrödinger equations and consider the simplest multiphase solutions of this hierarchy. The study of the simplest solutions of these equations led to the following results. First, the thr
Externí odkaz:
https://doaj.org/article/206986dc69194d9a800d21f970384555
Autor:
Aleksandr O. Smirnov, Eugeni A. Frolov
Publikováno v:
Axioms, Vol 12, Iss 10, p 983 (2023)
Currently, two-component integrable nonlinear equations from the hierarchies of the vector nonlinear Schrodinger equation and the vector derivative nonlinear Schrödinger equation are being actively investigated. In this paper, we propose a new hiera
Externí odkaz:
https://doaj.org/article/7f8620f3ad8d4554a8fdafb5a260e57f
Autor:
Aleksandr O. Smirnov
Publikováno v:
Symmetry, Vol 13, Iss 7, p 1203 (2021)
Currently, in nonlinear optics, models associated with various types of the nonlinear Schrödinger equation (scalar (NLS), vector (VNLS), derivative (DNLS)), as well as with higher and mixed equations from the corresponding hierarchies are usually st
Externí odkaz:
https://doaj.org/article/77c9d71219a745bd8d769887efe819ce
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schr\"odinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic "freak waves". We also study the dependency of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fff0db1e8aee0e57dc39016a4d84c9d