Publication:
Rational solitary waves and optical solitons of the model having unrestricted dispersion and nonlinearity with polynomial form

Дата
2022
Авторы
Kudryashov, N. A.
Journal Title
Journal ISSN
Volume Title
Издатель
Научные группы
Организационные подразделения
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Организационная единица
Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
Выпуск журнала
Аннотация
Objective: The mathematical model having unrestricted dispersion and nonlinearity in the polynomial form of described by the nonlinear Schrödinger equation is considered. Rational solitary wave solutions and optical solitons of the nonlinear partial differential equation are looked for. Method: The Painlevé test is applied to analyze the integrability of the nonlinear partial differential equation. Two variants of the simplest equation method are used for finding rational solitary waves and optical solitons of the mathematical model. Results: It is shown that the mathematical model having unrestricted dispersion and nonlinearity in the form of polynomial is nonintegrable by the inverse scattering transform. It is proved the general solution of the nonlinear ordinary differential equation has the expansion of in the Laurent series with two arbitrary constants. Rational solitary wave solutions and optical solutions of the mathematical model are found. © 2022 Elsevier GmbH
Описание
Ключевые слова
Generalized Schrödinger equation , Optical soliton , Painleé test , Simplest equation method , Solitary wave solution , Unrestricted dispersion
Цитирование
Kudryashov, N. A. Rational solitary waves and optical solitons of the model having unrestricted dispersion and nonlinearity with polynomial form / Kudryashov, N.A. // Optik. - 2022. - 271. - 10.1016/j.ijleo.2022.170154
URI
https://www.doi.org/10.1016/j.ijleo.2022.170154
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85141305475&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000907691100007
 https://openrepository.mephi.ru/handle/123456789/27634
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