Publication: Construction of nonlinear differential equations for description of propagation pulses in optical fiber
Дата
2019
Авторы
Kudryashov, N. A.
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Аннотация
© 2019 Elsevier GmbHWe present a few of higher-order partial differential equations which can be used for description of propagation pulses in optical fibers. The main criterion for the construction of equations was the presence of soliton solutions of a certain form. Using the first-order nonlinear differential equation, which can be found by means of traveling wave reduction from the nonlinear Schrödinger equation, we construct nonlinear ordinary differential equations of the fourth and sixth order. Taking into account these nonlinear ordinary differential equations, we construct partial differential equations for describing the propagation pulses in an optical fiber. It is characteristic that all constructed high-order dispersive equations have the same exact solutions, which are expressed via the elliptic functions.
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Цитирование
Kudryashov, N. A. Construction of nonlinear differential equations for description of propagation pulses in optical fiber / Kudryashov, N.A. // Optik. - 2019. - 192. - 10.1016/j.ijleo.2019.162964
URI
https://www.doi.org/10.1016/j.ijleo.2019.162964
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https://openrepository.mephi.ru/handle/123456789/18279
https://www.scopus.com/record/display.uri?eid=2-s2.0-85067688401&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000494471400046
https://openrepository.mephi.ru/handle/123456789/18279