Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Publisher: search.filters.publisher.Editura Acad RomaneSubject: search.filters.subject.First Integral Method

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 12
    Citation - Scopus: 13
    On 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.; Matematik
    The 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: 19
    The 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.; Matematik
    The 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 - WoS: 27
    Citation - Scopus: 18
    The First Integral Method for Wu-Zhang Nonlinear System With Time-Dependent Coefficients
    (Editura Acad Romane, 2015) Baleanu, Dumitru; Baleanu, Dumitru; Kilic, Bulent; Inc, Mustafa; Matematik
    The first integral method is used to construct traveling wave solutions of Wu-Zhang nonlinear dynamical system with time-dependent coefficients. We obtained different types of exact solutions by using two types of variable transformations. The method is an effective tool to construct the different types.of exact solutions of nonlinear partial differential equations having real world applications.