Geodesic
On new traveling wave solutions of potential KdV and (3+1)-dimensional Burgers equations
Tchier, Fairouz1 ; Inan, Ibrahim E.2 ; Ugurlu, Yavuz3 ; Inc, Mustafa3 ; Baleanu, Dumitru4
1 Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
2 Faculty of Education, Firat University, 23119 Elazig, Turkey
3 Science Faculty, Department of Mathematics, Firat University, 23119 Elazig, Turkey
4 Department of Mathematics, Cankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 7, p. 5029-5040.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper acquires soliton solutions of the potential KdV (PKdV) equation and the (3+1)-dimensional Burgers equation (BE) by the two variables $(\frac{G'}{ G} ,\frac{ 1}{ G})$ expansion method (EM). Obtained soliton solutions are designated in terms of kink, bell-shaped solitary wave, periodic and singular periodic wave solutions. These solutions may be useful and desirable to explain some nonlinear physical phenomena.
DOI : 10.22436/jnsa.009.07.07
Classification : 35Q53, 35C08, 35C07
Keywords: \((\frac{G'}{ G}، \frac{ 1}{ G})\) -EM, the PKdV equation, the (3+1)-dimensional BE, hyperbolic solution, periodic solution, rational solution.

Tchier, Fairouz 1 ; Inan, Ibrahim E. 2 ; Ugurlu, Yavuz 3 ; Inc, Mustafa 3 ; Baleanu, Dumitru 4

1 Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
2 Faculty of Education, Firat University, 23119 Elazig, Turkey
3 Science Faculty, Department of Mathematics, Firat University, 23119 Elazig, Turkey
4 Department of Mathematics, Cankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania 
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Tchier, Fairouz; Inan, Ibrahim E.; Ugurlu, Yavuz; Inc, Mustafa; Baleanu, Dumitru. On new traveling wave solutions of potential KdV and (3+1)-dimensional Burgers equations. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 7, p. 5029-5040. doi : 10.22436/jnsa.009.07.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.07.07/

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