WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7150

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Publisher: search.filters.publisher.Elsevier Ltd.Subject: search.filters.subject.First integral method

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  • Article
    Citation - WoS: 34
    Citation - Scopus: 34
    Exact and Explicit Solutions To Nonlinear Evolution Equations Using the Division Theorem
    (Elsevier Ltd., 2011) Aslan, İsmail; Aslan, İsmail; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson-Pickering equation under a parameter condition. Our method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are derived in a concise manner.