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A procedure to construct exact solutions of nonlinear evolution equations

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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–Mahony (mBBM) and the modified KdV–Kadomtsev–Petviashvili (KdV–KP) equations. By using this scheme, we found some exact solutions of the above-mentioned equations. 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.

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Authors and Affiliations

  1. Yildiz Technical University, Faculty of Education, Department of Mathematics Education, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey

    Adem Cengiz Çevikel

  2. Eskisehir Osmangazi University, Faculty of Arts and Sciences, Mathematics and Computer Science Department, Eskisehir, Turkey

    Ahmet Bekir & Sait San

  3. Yildiz Technical University, Faculty of Arts and Sciences, Mathematics Department, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey

    Mutlu Akar

Authors
  1. Adem Cengiz Çevikel
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  2. Ahmet Bekir
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  3. Mutlu Akar
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  4. Sait San
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Correspondence to Adem Cengiz Çevikel.

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Çevikel, A.C., Bekir, A., Akar, M. et al. A procedure to construct exact solutions of nonlinear evolution equations. Pramana - J Phys 79, 337–344 (2012). https://doi.org/10.1007/s12043-012-0326-1

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  • DOI: https://doi.org/10.1007/s12043-012-0326-1

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