Solitons and Other Solutions to Perturbed Rosenau-KdV-RLW Equation with Power Law Nonlinearity

• Authors: P. Sanchez , G. Ebadi , A. Mojaver , M. Mirzazadeh , M. Eslami , A. Biswas
• Languages of publication: EN

Abstracts

EN

This paper obtains solitons and other solutions to the perturbed Rosenau-KdV-RLW equation that is used to model dispersive shallow water waves. This equation is taken with power law nonlinearity in this paper. There are several integration tools that are adopted to solve this equation. These are Kudryashov method, sine-cosine function method, G'/G-expansion scheme and finally the exp-function approach. Solitons and other solutions are obtained along with several constraint conditions that naturally emerge from the structure of these solutions.

Keywords

EN

05.45.Yv; 02.30.Jr

Discipline

• 02.30.Jr: Partial differential equations
• 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: 127
• Issue: 6
• Pages: 1577-1587

Dates

published

2015-06

received

2015-01-13

(unknown)

2015-04-30

Contributors

author

P. Sanchez

• Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

author

G. Ebadi

• Department of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran

author

A. Mojaver

• Department of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran

author

M. Mirzazadeh

• Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

author

M. Eslami

• Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

author

A. Biswas

• Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
• Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah-21589, Saudi Arabia

References

• [1] M. Antonova, A. Biswas, Commun. Nonlin. Sci. Numer. Simulat. 14, 734 (2009), doi: 10.1016/j.cnsns.2007.12.004
• [2] A. Biswas, H. Triki, M. Labidi, Phys. Wave Phenom. 19, 24 (2011), doi: 10.3103/S1541308X11010067
• [3] G. Ebadi, A. Mojavir, H. Triki, A. Yildirim, A. Biswas, Roman. J. Phys. 58, 3 (2013).
• [4] A. Esfahani, Commun. Theoret. Phys. 55, 396 (2011), doi: 10.1088/0253-6102/55/3/04
• [5] E.G. Fan, Phys. Lett. A 277, 212 (2000), doi: 10.1016/S0375-9601(00)00725-8
• [6] M.M. Kabir, A. Khajeh, E. Abdi Aghdam, A. Yousefi Koma, Math. Methods Appl. Sci. 34, 213 (2011), doi: 10.1002/mma.1349
• [7] N.A. Kudryashov, J. Appl. Math. Mech. 52, 361 (1988), doi: 10.1016/0021-8928(88)90090-1
• [8] N.A. Kudryashov, Commun. Nonlin. Sci. Numer. Simulat. 17, 2248 (2012), doi: 10.1016/j.cnsns.2011.10.016
• [9] N.A. Kudryashov, Phys. Lett. A 147, 287 (1990), doi: 10.1016/0375-9601(90)90449-X
• [10] N.A. Kudryashov, Phys. Lett. A 155, 269 (1991), doi: 10.1016/0375-9601(91)90481-M
• [11] M. Labidi, A. Biswas, Math. Eng. Sci. Aerospace 2, 183 (2011)
• [12] W.X. Ma, Phys. Lett. A 180, 221 (1993), doi: 10.1016/0375-9601(93)90699-Z
• [13] W.X. Ma, B. Fuchssteiner, Int. J. Nonlin. Mech. 31, 329 (1996), doi: 10.1016/0020-7462(95)00064-X
• [14] W. Malfliet, Phys. Scr. 54, 563 (1996), doi: 10.1088/0031-8949/54/6/003
• [15] W. Malfliet, Phys. Scr. 54, 569 (1996), doi: 10.1088/0031-8949/54/6/004
• [16] P. Razborova, H. Triki, A. Biswas, Ocean Eng. 63, 1 (2013), doi: 10.1016/j.oceaneng.2013.01.014
• [17] P. Razborova, B. Ahmed, A. Biswas, Appl. Math. Inf. Sci. 8, 485 (2014), doi: 10.12785/amis/080205
• [18] P. Razborova, L. Moraru, A. Biswas, Roman. J. Phys. 59, 658 (2014)
• [19] P. Razborova, A.H. Kara, A. Biswas, Nonlin. Dyn. 79, 743 (2015), doi: 10.1007/s11071-014-1700-y
• [20] P.N. Ryabov, Appl. Math. Comput. 217, 3585 (2010), doi: 10.1016/j.amc.2010.09.003
• [21] P. Sanchez, to appear in Roman. J. Phys.
• [22] M.L. Wang, X.Z. Li, J.L. Zhang, Phys. Lett. A 372, 417 (2008), doi: 10.1016/j.physleta.2007.07.051
• [23] A.M. Wazwaz, Appl. Math. Comput. 159, 559 (2004), doi: 10.1016/j.amc.2003.08.136
• [24] A.M. Wazwaz, Math. Comp. Model. 40, 499 (2004), doi: 10.1016/j.mcm.2003.12.010
• [25] A.M. Wazwaz, Appl. Math. Comput. 154, 713 (2004), doi: 10.1016/S0096-3003(03)00745-8
• [26] E. Zayed, K.A. Gepreel, Appl. Math. Comput. 212, 1 (2009), doi: 10.1016/j.amc.2009.02.009
• [27] S. Zhang, J.L. Tong, W. Wang, Phys. Lett. A 372, 2254 (2008), doi: 10.1016/j.physleta.2007.11.026
• [28] H. Zhang, Commun. Nonlin. Sci. Numer. Simulat. 14, 3220 (2009), doi: 10.1016/j.cnsns.2009.01.006
• [29] J.-M. Zuo, Appl. Math. Comput. 215, 835 (2009)
• [30] J.-M. Zuo, Y.-M. Zhang, T.-D. Zhang, F. Chang, Boundary Value Problems 2010, 516260 (2010), doi: 10.1155/2010/516260

Identifiers

DOI

10.12693/APhysPolA.127.1577