Publication: Lax pairs for one of hierarchies similar to the first Painleve hierarchy
Дата
2021
Авторы
Kudryashov, N. A.
Journal Title
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Аннотация
© 2020 Elsevier LtdNonlinear ordinary differential equations of the new hierarchy are considered. We demonstrate that although the equations of this hierarchy are similar in appearance to the equations of the first Painlevé hierarchy, they have the different Lax pairs. An algorithm for constructing the Lax pairs of equations of a new hierarchy is proposed. This algorithm is illustrated for the first, second, third, and fourth members for the hierarchy.
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Цитирование
Kudryashov, N. A. Lax pairs for one of hierarchies similar to the first Painleve hierarchy / Kudryashov, N.A. // Applied Mathematics Letters. - 2021. - 116. - 10.1016/j.aml.2020.107003
URI
https://www.doi.org/10.1016/j.aml.2020.107003
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https://openrepository.mephi.ru/handle/123456789/23560
https://www.scopus.com/record/display.uri?eid=2-s2.0-85098755882&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000623682700009
https://openrepository.mephi.ru/handle/123456789/23560