# On new traveling wave solutions of potential KdV and (3+1)-dimensional Burgers equations

Volume 9, Issue 7, pp 5029--5040
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### Authors

Fairouz Tchier - Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia. Ibrahim E. Inan - Faculty of Education, Firat University, 23119 Elazig, Turkey. Yavuz Ugurlu - Science Faculty, Department of Mathematics, Firat University, 23119 Elazig, Turkey. Mustafa Inc - Science Faculty, Department of Mathematics, Firat University, 23119 Elazig, Turkey. Dumitru Baleanu - Department of Mathematics, Cankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey. - Institute of Space Sciences, Magurele-Bucharest, Romania.

### Abstract

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.

### Share and Cite

##### ISRP Style

Fairouz Tchier, Ibrahim E. Inan, Yavuz Ugurlu, Mustafa Inc, Dumitru Baleanu, On new traveling wave solutions of potential KdV and (3+1)-dimensional Burgers equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 7, 5029--5040

##### AMA Style

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. J. Nonlinear Sci. Appl. (2016); 9(7):5029--5040

##### Chicago/Turabian Style

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 Applications, 9, no. 7 (2016): 5029--5040

### Keywords

• $(\frac{G'}{ G}، \frac{ 1}{ G})$ -EM
• the PKdV equation
• the (3+1)-dimensional BE
• hyperbolic solution
• periodic solution
• rational solution.

•  35Q53
•  35C08
•  35C07

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