Open Access

ARTICLE

Finding the Generalized SolitaryWave Solutions within the (G'/G)-Expansion Method

by K. Sayev,¹, Yasir Khan², E. Moradi³, M. Fardi⁴

1 Faculty of Mathematical Sciences, Malayer University, Malayer, Iran.
2 Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia, Corresponding author. E-mail: yasirmath@yahoo.com
3 Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.
4 Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.

Computer Modeling in Engineering & Sciences 2015, 105(5), 361-373. https://doi.org/10.3970/cmes.2015.105.361

Abstract

In this study, the solitary wave solutions for third order equal-width wave-Burgers (EW-Burgers) equation, the second order Bratu and sinh-Bratu type equations will be discussed. The EW-Burgers equation models the propagation of nonlinear and dispersive waves with certain dissipative effects and furthermore the Bratu type problem appears a simplification of the solid fuel ignition model in thermal combustion theory. Our methodology, is investigated by using (G'/G)- expansion method. The obtained results can be extended to the other models.

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Keywords

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