Publication:
Embedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion

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
The family of generalized Schrödinger equations is considered with the Kerr nonlinearity. The partial differential equations are not integrable by the inverse scattering transform and new solutions of this family are sought taking into account the traveling wave reduction. The compatibility of the overdetermined system of equations is analyzed and constraints for parameters of equations are obtained.A modification of the simplest equation method for finding embedded solitons is presented.A block diagram for finding a solution to the nonlinear ordinary differential equation isgiven. The theorem on the existence of bright solitons for differential equations of any orderwith Kerr nonlinearity of the family considered is proved. Exact solutions of embedded solitonsdescribed by fourth-, sixth-, eighth and tenth-order equations are found using the modified algorithm of the simplest equation method. New solutions for embedded solitons of generalized nonlinear Schrödinger equations with several extremes are obtained. © 2022, Pleiades Publishing, Ltd.
Описание
Ключевые слова
embedded soliton , exact solution , generalized Schrödinger equation , optical soliton , simplest equation method
Цитирование
Kudryashov, N. A. Embedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion / Kudryashov, N.A. // Regular and Chaotic Dynamics. - 2022. - 27. - № 6. - P. 680-696. - 10.1134/S1560354722060065
URI
https://www.doi.org/10.1134/S1560354722060065
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85143608807&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000901013600006
 https://openrepository.mephi.ru/handle/123456789/27704
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