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Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

Author

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  • Yusuf Pandir
  • Yusuf Gurefe
  • Ugur Kadak
  • Emine Misirli

Abstract

We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method. In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.

Suggested Citation

  • Yusuf Pandir & Yusuf Gurefe & Ugur Kadak & Emine Misirli, 2012. "Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, August.
    • Handle: RePEc:hin:jnlaaa:478531
    DOI: 10.1155/2012/478531
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    Cited by:

    1. Yusuf Pandir & Halime Ulusoy, 2013. "New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations," Journal of Mathematics, Hindawi, vol. 2013, pages 1-5, January.

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