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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 478531, 16 pages
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 [24 citations]
The following is the list of published articles that have cited the current article.
- Fethi Bin Muhammad Belgacem, Hasan Bulut, Haci Mehmet Baskonus, and Tolga Akturk, “Mathematical analysis of the Generalized Benjamin and Burger-Kdv Equations via the Extended Trial Equation Method,” Journal of the Association of Arab Universities for Basic and Applied Sciences, 2013.
- Ahmet Bekir, and Özkan Güner, “Topological (dark) soliton solutions for the Camassa–Holm type equations,” Ocean Engineering, 2013.
- 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.
- 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.
- 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.
- 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.
- Hasan Bulut, “Classification of Exact Solutions for Generalized Form of Equation,” Abstract and Applied Analysis, vol. 2013, pp. 1–11, 2013.
- 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.
- 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.
- 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.
- 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.
- Yusuf Pandir, “New exact solutions of the generalized Zakharov–Kuznetsov modified equal-width equation,” Pramana, 2014.
- Y. Gurefe, E. Misirli, Y. Pandir, A. Sonmezoglu, and M. Ekici, “New Exact Solutions of the Davey–Stewartson Equation with Power-Law Nonlinearity,” Bulletin of the Malaysian Mathematical Sciences Society, 2014.
- Seyma Tuluce Demiray, and Hasan Bulut, “Some exact solutions of generalized Zakharov system,” Waves in Random and Complex Media, pp. 1–16, 2014.
- 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.
- Seyma Demiray, and Hasan Bulut, “New Exact Solutions of the New Hamiltonian Amplitude Equation and Fokas Lenells Equation,” Entropy, vol. 17, no. 9, pp. 6025–6043, 2015.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “New solitary wave solutions of Maccari system,” Ocean Engineering, vol. 103, pp. 153–159, 2015.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “New soliton solutions for Sasa–Satsuma equation,” Waves in Random and Complex Media, pp. 1–12, 2015.
- M. Ekici, M. Mirzazadeh, and M. Eslami, “Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion,” Nonlinear Dynamics, 2015.
- Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “All exact travelling wave solutions of Hirota equation and Hirota–Maccari system,” Optik - International Journal for Light and Electron Optics, 2015.
- Qin Zhou, M. Ekici, A. Sonmezoglu, M. Mirzazadeh, and M. Eslami, “Optical solitons with Biswas-Milovic equation by extended trial equation method,” Nonlinear Dynamics, vol. 84, no. 4, pp. 1883–1900, 2016.
- Mohammad Mirzazadeh, Mehmet Ekici, Abdullah Sonmezoglu, Mostafa Eslami, Qin Zhou, Abdul H. Kara, Daniela Milovic, Fayequa B. Majid, Anjan Biswas, and Milivoj Belić, “Optical solitons with complex Ginzburg–Landau equation,” Nonlinear Dynamics, 2016.
- Seyma Tuluce Demiray, and Hasan Bulut, “New Exact Solutions of the System of Equations for the Ion Sound and Langmuir Waves by ETEM,” Mathematical and Computational Applications, vol. 21, no. 2, pp. 11, 2016.
- Mehmet Ekici, Mohammad Mirzazadeh, Qin Zhou, Seithuti P. Moshokoa, Anjan Biswas, and Milivoj Belic, “Solitons in optical metamaterials with fractional temporal evolution,” Optik - International Journal for Light and Electron Optics, vol. 127, no. 22, pp. 10879–10897, 2016.