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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/079/03/0337-0344

    • Keywords

       

      Exact solutions; the functional variable method; nonlinear wave equations.

    • Abstract

       

      In this paper, we implemented the functional variable method for the exact solutions of the Zakharov-Kuznetsov-modified equal-width (ZK-MEW), the modified Benjamin-Bona-Mohany (mBBM) and the modified kdV-Kadomtsev-Petviashvili (kdV-KP) equation. By using this scheme, we found some exact solutions of the above-mentioned equation. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. The functional variable method presents a wider-applicability for handling nonlinear wave equations.

    • Author Affiliations

       

      Adem Cengiz Çevikel1 Ahmet Bekir2 Mutlu Akar3 Sait San2

      1. Yildiz Technical University, Faculty of Education, Department of Mathematics Education, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey
      2. Eskisehir Osmangazi University, Faculty of Arts and Sciences, Mathematics and Computer Science Department, Eskisehir, Turkey
      3. Yildiz Technical University, Faculty of Arts and Sciences, Mathematics Department, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey

    • Dates

       
      Published
      September 2012
      Manuscript received
      10 December 2011
      Manuscript revised
      16 March 2012
      Accepted
      18 April 2012

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