Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 12Citation - Scopus: 13On the Exact Solutions of Nonlinear Long-Short Wave Resonance Equations(Editura Acad Romane, 2015) Jafari, H.; Baleanu, Dumitru; Soltani, R.; Khalique, C. M.; Baleanu, D.; MatematikThe long-short wave resonance model arises when the phase velocity of a long wave matches the group velocity of a short wave. In this paper, the first integral method is used to construct exact solutions of the nonlinear long-short wave resonance equations. One-soliton solutions are also obtained using the travelling wave hypothesis.Article Citation - WoS: 10Exact Solutions of Two Nonlinear Partial Differential Equations by Using the First Integral Method(Springer, 2013) Soltani, Rahmat; Khalique, Chaudry Masood; Baleanu, Dumitru; Jafari, HosseinIn recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial differential equations, namely double sine-Gordon and Burgers equations. It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations.Article Citation - WoS: 18Citation - Scopus: 23First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models(Mdpi, 2019) Riaz, Sidra; Alimgeer, Khurram Saleem; Atif, M.; Hanif, Atif; Baleanu, Dumitru; Javeed, ShumailaIn this work, we establish the exact solutions of some mathematical physics models. The first integral method (FIM) is extended to find the explicit exact solutions of high-dimensional nonlinear partial differential equations (PDEs). The considered models are: the space-time modified regularized long wave (mRLW) equation, the (1+2) dimensional space-time potential Kadomtsev Petviashvili (pKP) equation and the (1+2) dimensional space-time coupled dispersive long wave (DLW) system. FIM is a powerful mathematical tool that can be used to obtain the exact solutions of many non-linear PDEs.