Abstract and Applied Analysis

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

Yusuf Pandir, Yusuf Gurefe, Ugur Kadak, and Emine Misirli

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 478531, 16 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365174069

Digital Object Identifier
doi:10.1155/2012/478531

Mathematical Reviews number (MathSciNet)
MR2965451

Zentralblatt MATH identifier
1247.35124

Citation

Pandir, Yusuf; Gurefe, Yusuf; Kadak, Ugur; Misirli, Emine. Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 478531, 16 pages. doi:10.1155/2012/478531. https://projecteuclid.org/euclid.aaa/1365174069


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