Publication: Highly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations
Дата
2020
Авторы
Kudryashov, N. A.
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Аннотация
© 2019 Elsevier Inc.Hierarchy of the perturbed nonlinear Schrödinger equations is considered. Nonlinear differential equations of this hierarchy contain higher orders and can be used for description of highly dispersive optical solutions. A new approach for finding solitary wave solutions of high-order nonlinear differential equations is presented. This approach allows us to significantly simplify symbolic calculations. The main idea of the method is that we use expressions of the dependent variable and its derivatives in the differential equation the polynomial form of the solitary wave. We find optical solitons with high dispersion order for nonlinear perturbed Schrodinger equations of the fourth, sixth, eighth, tenth and twelfth orders.
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Цитирование
Kudryashov, N. A. Highly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations / Kudryashov, N.A. // Applied Mathematics and Computation. - 2020. - 371. - 10.1016/j.amc.2019.124972
URI
https://www.doi.org/10.1016/j.amc.2019.124972
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https://openrepository.mephi.ru/handle/123456789/20094
https://www.scopus.com/record/display.uri?eid=2-s2.0-85076831328&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000504843100031
https://openrepository.mephi.ru/handle/123456789/20094