Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 19The First Integral Method for The (3+1)-Dimensional Modified Korteweg-De Vries-Zakharov and Hirota Equations(Editura Acad Romane, 2015) Baleanu, D.; Baleanu, Dumitru; Killic, B.; Ugurlu, Y.; Inc, M.; MatematikThe first integral method is applied to get the different types of solutions of the (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov and Hirota equations. We obtain envelope, bell shaped, trigonometric, and kink soliton solutions of these nonlinear evolution equations. The applied method is an effective one to obtain different types of solutions of nonlinear partial differential equations.Article Citation - Scopus: 38Soliton Solutions of a Nonlinear Fractional Sasa-Satsuma Equation in Monomode Optical Fibers(Natural Sciences Publishing, 2020) Osman, M.S.; Zubair, A.; Raza, N.; Arqub, O.A.; Ma, W.-X.; Baleanu, D.This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs. © 2020 NSP Natural Sciences Publishing Cor.Article The first integral method for the (3+1)-dimensional modified korteweg-de vries-zakharov-kuznetsov and hirota equations(Editura Academiei Romane, 2015) Baleanu, Dumitru; Kılıç, B.; Uğurlu, Y.; İnç, MustafaThe first integral method is applied to get the different types of solutions of the (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov and Hirota equations. We obtain envelope, bell shaped, trigonometric, and kink soliton solutions of these nonlinear evolution equations. The applied method is an effective one to obtain different types of solutions of nonlinear partial differential equations