A new approach for Painlevé analysis of the generalized Kawahara equation

Kutlu, BusraKaya, Dogan2024-10-122024-10-122015978-073541323-80094-243Xhttps://doi.org/10.1063/1.4930443https://hdl.handle.net/11467/8805Badji Mokhtar Annaba University; Fatih University; Institute of Mathematics and Mathematical ModelingInternational Conference on Advancements in Mathematical Sciences, AMS 2015 -- 5 November 2015 through 7 November 2015 -- Antalya -- 115706In this paper, generalized Kawahara equation with a source is considered. It is shown that this equation is nonintegrable by using Painlevé test. An exact solution is also obtained with the help of simplified Hirota's method for the considered equation. © 2015 AIP Publishing LLC.eninfo:eu-repo/semantics/closedAccessGeneralized Kawahara equationHirota's methodPainlevé analysisSimplified Hirota's methodA new approach for Painlevé analysis of the generalized Kawahara equationConference Object1676N/A2-s2.0-8498455558810.1063/1.4930443