New Applications of the (G'/G,1/G)-Expansion Method

• Authors: I. Inan , Y. Ugurlu , M. Inc
• Languages of publication: EN

Abstracts

EN

In this paper, we study general solutions of the new fifth order nonlinear evolution and the Burgers KP equations with the aid of the two variables (G'/G,1/G)-expansion method. The kink, bell-shaped solitary wave, periodic and singular periodic solutions are obtained. Finally, the numerical simulations add to these obtained solutions.

Keywords

EN

02.30.Ik; 02.30.Jk; 05.45.Yv

Discipline

• 02.30.Ik: Integrable systems
• 05.45.Yv: Solitons(see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq—in Acoustics Appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.05.Fg; for solitary waves in fluid dynamics, see 47.35.Fg)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 3
• Pages: 245-251

Dates

published

2015-09

received

2015-02-17

(unknown)

2015-05-20

Contributors

author

I. Inan

• Firat University, Faculty of Education, Department of Mathematics 23119 Elazig, Turkey

author

Y. Ugurlu

• Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey

author

M. Inc

• Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey

References

• [1] G.B. Whitham, Linear and Nonlinear Waves, Wiley, California 1974
• [2] L. Debtnath, Nonlinear Partial Differential Equations for Scientist and Engineers, Birkhauser, Boston 1997
• [3] Z. Zhao, Y. Zhang, W. Rui, Appl. Math. Comp. 248, 456 (2014), doi: 10.1016/j.amc.2014.10.024
• [4] P.M. Jordan, Math. Comp. Sim. 81, 18 (2010), doi: 10.1016/j.matcom.2010.06.011
• [5] C. Xifang, W. Hongyou, X. Chuanyou, J. Math. Phys. 47, 083515 (2006), doi: 10.1063/1.2234727
• [6] F. Demontis, B. Prinari, C. van der Mee, J. Math. Phys. 55, 101505 (2014), doi: 10.1063/1.4898768
• [7] H. Yilmaz, J. Nonlin. Math. Phys. 22, 32 (2015), doi: 10.1080/14029251.2015.996438
• [8] V. Kumar, R.K. Gupta, R. Jiwari, Commun. Theor. Phys. 60, 175 (2013), doi: 10.1088/0253-6102/60/2/06
• [9] I.E. Inan, D. Kaya, Y. Ugurlu, Appl. Math. Comp. 216, 2507 (2010), doi: 10.1016/j.amc.2010.03.119
• [10] F. Taşcan, A. Bekir, Appl. Math. Comp. 215, 3134 (2009), doi: 10.1016/j.amc.2009.09.027
• [11] M. Eslami, M. Mirzazadeh, Ocean Eng. 83, 133 (2014), doi: 10.1016/j.oceaneng.2014.02.026
• [12] J.H. He, X.H. Wu, Chaos Solitons Fractals 30, 700 (2006), doi: 10.1016/j.chaos.2006.03.020
• [13] E. Fan, Phys. Lett. A 277, 212 (2000), doi: 10.1016/S0375-9601(00)00725-8
• [14] H. Chen, H. Zhang, Chaos Solitons Fractals 19, 71 (2004), doi: 10.1016/S0960-0779(03)00081-X
• [15] Z. Fu, S. Liu, S. Liu, Q. Zhao, Phys. Lett. A 290, 72 (2001), doi: 10.1016/S0375-9601(01)00644-2
• [16] M. Wang, X. Li, J. Zhang, Phys. Lett. A 372, 417 (2008), doi: 10.1016/j.physleta.2007.07.051
• [17] S. Guo, Y. Zhou, Appl. Math. Comp. 215, 3214 (2010), doi: 10.1016/j.amc.2009.10.008
• [18] H.L. Lü, X.Q. Liu, L. Niu, Appl. Math. Comp. 215, 3811 (2010), doi: 10.1016/j.amc.2009.11.021
• [19] L. Li, E. Li, M. Wang, Appl. Math. J. Chin. Univ. 25, 454 (2010), doi: 10.1007/s11766-010-2128-x
• [20] İ. Aslan, Acta Phys. Pol. A 123, 16 (2013), doi: 10.12693/APhysPolA.123.16
• [21] T. Öziş, İ. Aslan, Commun. Theor. Phys. 51, 577 (2009), doi: 10.1088/0253-6102/51/4/01
• [22] İ. Aslan, Commun. Theor. Phys. 61, 595 (2014), doi: 10.1088/0253-6102/61/5/09
• [23] İ. Aslan, Nonlin. Anal. Model. Control. 20, 132 (2015), doi: 10.15388/NA.2015.1.9
• [24] İ. Aslan, Math. Method Appl. Sci. 38, 27 (2015), doi: 10.1002/mma.3047
• [25] A.M. Wazwaz, Computers Fluids 84, 97 (2013), doi: 10.1016/j.compfluid.2013.05.020
• [26] A.M. Wazwaz, Appl. Math. Model. 38, 110 (2014), doi: 10.1016/j.apm.2013.06.009
• [27] E.M.E. Zayed, M.A.M. Abdelaziz, Math. Prob. Eng. 2012, 726051 (2012), doi: 10.1155/2012/725061
• [28] S. Demiray, Ö. Ünsal, A. Bekir, Acta Phys. Pol. A 125, 1093 (2014), doi: 10.12693/APhysPolA.125.1093
• [29] A.M. Wazwaz, Phys. Scr. 83, 015012 (2011), doi: 10.1088/0031-8949/83/01/015012
• [30] N. Taghizadeh, M. Mirzazadeh, F. Farahrooz, Appl. Math. Model. 35, 3991 (2011), doi: 10.1016/j.apm.2011.02.001
• [31] A.M. Wazwaz, Appl. Math. Comp. 200, 437 (2008), doi: 10.1016/j.amc.2007.11.032

Identifiers

DOI

10.12693/APhysPolA.128.245