About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 478531, 16 pages
http://dx.doi.org/10.1155/2012/478531
Research Article

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

1Department of Mathematics, Faculty of Science, Bozok University, 66100 Yozgat, Turkey
2Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova-Izmir, Turkey
3Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar-Ankara, Turkey

Received 13 March 2012; Accepted 17 May 2012

Academic Editor: Ravshan Ashurov

Copyright © 2012 Yusuf Pandir et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [13 citations]

The following is the list of published articles that have cited the current article.

  • Ahmet Bekir, and Özkan Güner, “Topological (dark) soliton solutions for the Camassa–Holm type equations,” Ocean Engineering, 2013. View at Publisher · View at Google Scholar
  • Yusuf Gurefe, Emine Misirli, Abdullah Sonmezoglu, and Mehmet Ekici, “Extended trial equation method to generalized nonlinear partial differential equations,” Applied Mathematics and Computation, vol. 219, no. 10, pp. 5253–5260, 2013. View at Publisher · View at Google Scholar
  • Yusuf Pandir, Yusuf Gurefe, and Emine Misirli, “Classification of exact solutions to the generalized Kadomtsev–Petviashvili equation,” Physica Scripta, vol. 87, no. 2, pp. 025003, 2013. View at Publisher · View at Google Scholar
  • Yusuf Pandir, and Halime Ulusoy, “New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations,” Journal of Mathematics, vol. 2013, pp. 1–5, 2013. View at Publisher · View at Google Scholar
  • Yusuf Pandir, Yusuf Gurefe, and Emine Misirli, “The Extended Trial Equation Method for Some Time Fractional Differential Equations,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–13, 2013. View at Publisher · View at Google Scholar
  • Hasan Bulut, Haci Mehmet Baskonus, and Yusuf Pandir, “The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation,” Abstract and Applied Analysis, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Mehmet Ekici, Durgun Duran, and Abdullah Sonmezoglu, “Soliton Solutions of the Klein-Gordon-Zakharov Equation with Power Law Nonlinearity,” ISRN Computational Mathematics, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Hasan Bulut, “Classification of Exact Solutions for Generalized Form of Equation,” Abstract and Applied Analysis, vol. 2013, pp. 1–11, 2013. View at Publisher · View at Google Scholar
  • Hasan Bulut, Yusuf Pandir, and Seyma Tuluce Demiray, “Exact solutions of nonlinear Schrodinger’s equation with dual power-law nonlinearity by extended trial equation method,” Waves in Random and Complex Media, pp. 1–13, 2014. View at Publisher · View at Google Scholar
  • Haci Mehmet Baskonus, Hasan Bulut, and Yusuf Pandir, “On the Solution of Nonlinear Time-Fractional Generalized Burgers Equation by Homotopy Analysis Method and Modified Trial Equation Method,” International Journal of Modeling and Optimization, vol. 4, no. 4, pp. 305–309, 2014. View at Publisher · View at Google Scholar
  • Yusuf Pandir, “New exact solutions of the generalized Zakharov–Kuznetsov modified equal-width equation,” Pramana, 2014. View at Publisher · View at Google Scholar
  • Seyma Tuluce Demiray, and Hasan Bulut, “Some exact solutions of generalized Zakharov system,” Waves in Random and Complex Media, pp. 1–16, 2014. View at Publisher · View at Google Scholar
  • Ali Filiz, Mehmet Ekici, and Abdullah Sonmezoglu, “-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation,” The Scientific World Journal, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar