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New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Kaup–Kupershmidt Equations

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Abstract

In this paper, using the exp-function method we obtain some new exact solutions for (1+1)-dimensional and (2+1)-dimensional Kaup–Kupershmidt (KK) equations. We show figures of some of the new solutions obtained here. We conclude that the exp-function method presents a wider applicability for handling nonlinear partial differential equations.

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Authors and Affiliations

  1. Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    A. H. Bhrawy

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    A. H. Bhrawy

  3. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901-2277, USA

    Anjan Biswas

  4. Department of Mathematics, Faculty of science, Razi University, Kermanshah, 67149, Iran

    M. Javidi

  5. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620-5700, USA

    Wen Xiu Ma & Ahmet Yıldırım

  6. Department of Mathematics, Ege University, 35100, Bornova, İzmir, Turkey

    Zehra Pınar & Ahmet Yıldırım

Authors
  1. A. H. Bhrawy
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  2. Anjan Biswas
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  3. M. Javidi
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  4. Wen Xiu Ma
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  5. Zehra Pınar
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  6. Ahmet Yıldırım
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Correspondence to Zehra Pınar.

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Bhrawy, A.H., Biswas, A., Javidi, M. et al. New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Kaup–Kupershmidt Equations. Results. Math. 63, 675–686 (2013). https://doi.org/10.1007/s00025-011-0225-7

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  • DOI: https://doi.org/10.1007/s00025-011-0225-7

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