Publication:
Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index

Дата
2020
Авторы
Kudryashov, N. A.
Journal Title
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Научные группы
Организационные подразделения
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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
A nonlinear fourth-order differential equation with arbitrary refractive index for description of the pulse propagation in an optical fiber is considered. The Cauchy problem for this equation cannot be solved by the inverse scattering transform and we look for solutions of the equation using the traveling wave reduction. We present a novel method for finding soliton solutions of nonlinear evolution equations. The essence of this method is based on the hypothesis about the possible type of an auxiliary equation with an already known solution. This new auxiliary equation is used as a basic equation to look for soliton solutions of the original equation. We have found three forms of soliton solutions of the equation at some constraints on parameters of the equation.
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Цитирование
Kudryashov, N. A. Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index / Kudryashov, NA // Regular and Chaotic Dynamics. - 2020. - 25. - № 6. - P. 537-543. - 10.1134/S1560354720060039
URI
https://www.doi.org/10.1134/S1560354720060039
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85091211656&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000596572500003
 https://openrepository.mephi.ru/handle/123456789/22988
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