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

Pandır, Yusuf; Gürefe, Yusuf; Kadak, Uğur; Mısırlı, Emine

doi:10.1155/2012/478531

Cited by 61 publications

(43 citation statements)

References 17 publications

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“…(16,18,20) obtained by using BSEFM are the new exponential function structures solutions for Eq. (1) when we compare with the paper submitted to the literature by [22].…”

Section: Discussionmentioning

confidence: 99%

Some Prototype Results of the Symmetric Regularized Long Wave Equation Arising in Nonlinear Ion Acoustic Waves

Işik

Ataş

2017

ITM Web Conf.

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Abstract. In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to th Symmetric Regularized Long Wave mathematical model. We obtain new results by using this technique. We plot two-and three-dimensional surfaces of the results by using Wolfram Mathematica 9. At the end of this manuscript, we submit a conclusion in the comprehensive manner.

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“…(16,18,20) obtained by using BSEFM are the new exponential function structures solutions for Eq. (1) when we compare with the paper submitted to the literature by [22].…”

Section: Discussionmentioning

confidence: 99%

Some Prototype Results of the Symmetric Regularized Long Wave Equation Arising in Nonlinear Ion Acoustic Waves

Işik

Ataş

2017

ITM Web Conf.

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“…Performing a complete discrimination system for polynomials to distinguish the roots of φ pΓq , we solve the infinite integral Equation (11) and classify the exact solutions of Equation (2) via Mathematica [33].…”

Section: Basic Facts Of the Etemmentioning

confidence: 99%

New Exact Solutions of the System of Equations for the Ion Sound and Langmuir Waves by ETEM

Demiray

2016

MCA

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This manuscript focuses attention on new exact solutions of the system of equations for the ion sound wave under the action of the ponderomotive force due to high-frequency field and for the Langmuir wave. The extended trial equation method (ETEM), which is one of the analytical methods, has been handled for finding exact solutions of the system of equations for the ion sound wave and the Langmuir wave. By using this method, exact solutions including the rational function solution, traveling wave solution, soliton solution, Jacobi elliptic function solution, hyperbolic function solution and periodic wave solution of this system of equations have been obtained. In addition, by using Mathematica Release 9, some graphical simulations were done to see the behavior of these solutions.Keywords: the system of equations for the ion sound wave and the Langmuir wave; extended trial equation method; exact solutions; Mathematica Release 9

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“…In this study, GKM [10][11][12] and ETEM [14][15][16][17][18][19][20][21] will be investigated to find exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation.…”

Section: Open Accessmentioning

confidence: 99%

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

Demiray

2015

Entropy

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

Cited by 61 publications

References 17 publications

Some Prototype Results of the Symmetric Regularized Long Wave Equation Arising in Nonlinear Ion Acoustic Waves

Some Prototype Results of the Symmetric Regularized Long Wave Equation Arising in Nonlinear Ion Acoustic Waves

New Exact Solutions of the System of Equations for the Ion Sound and Langmuir Waves by ETEM

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

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