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Browsing by Author "Soltani, Rahmat"

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    Article
    Exact Solutions of Two Nonlinear Partial Differential Equations By Using The First Integral Method
    (Springer Open, 2013) Baleanu, Dumitru; Soltani, Rahmat; Khalique, Chaudry Masood; Baleanu, Dumitru; 56389
    In 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.
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    Article
    On the exact solutions of nonlinear long-short wave resonance equations
    (2015) Baleanu, Dumitru; Soltani, Rahmat; Masood Khalique, Chaudry; Baleanu, Dumitru; 56389
    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. © 2015, Editura Academiei Romane. All rights reserved.