Application of Tanh Method to Complex Coupled Nonlinear Evolution Equations

• Authors: M. Abdelkawy , A. Bhrawy , E. Zerrad , A. Biswas
• Languages of publication: EN

Abstracts

EN

This paper studies the application of tanh method to address a few coupled nonlinear evolution equations that are in complex domain. There are soliton solutions as well as triangular solutions that are revealed with this integration scheme. The equations studied in this paper are applicable to various branches of applied and theoretical physics.

Keywords

EN

02.30.Ik; 02.30.Jr; 05.45.Yv

Discipline

• 02.30.Ik: Integrable systems
• 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)

• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 3
• Pages: 278-283

Dates

published

2016-03

received

2015-06-27

(unknown)

2016-02-28

Contributors

author

M. Abdelkawy

• Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh-11566, Saudi Arabia
• Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

author

A. Bhrawy

• Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

author

E. Zerrad

• Department of Physics and Engineering, Delaware State University, Dover, DE 19901-2277, USA

author

A. Biswas

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

References

• [1] A.H. Bhrawy, M.A. Abdelkawy, Centr. Europ. J. Phys. 11, 518 (2013), doi: 10.2478/s11534-013-0197-1
• [2] A.H. Bhrawy, M.A. Abdelkawy, Indian J. Phys. 87, 665 (2013), doi: 10.1007/s12648-013-0260-1
• [3] E. Tohidi, A.H. Bhrawy, K. Erfani, Appl. Math. Model. 37, 4283 (2013), doi: 10.1016/j.apm.2012.09.032
• [4] M. Eslami, B. Fathi Vajargah, M. Mirzazadeh, Ain Shams Eng. J. 5, 221 (2014), doi: 10.1016/j.asej.2013.06.005
• [5] A.H. Bhrawy, Appl. Math. Comput. 222, 255 (2013), doi: 10.1016/j.amc.2013.07.056
• [6] A.H. Bhrawy, M.A. Abdelkawy, A. Biswas, Commun. Nonlin. Sci. Num. Simul. 18, 915 (2013), doi: 10.1016/j.cnsns.2012.08.034
• [7] M.A. Abdelkawy, A.H. Bhrawy, Indian J. Phys. 87, 555 (2013), doi: 10.1007/s12648-013-0255-y
• [8] A.H. Bhrawy, A. Yildirim, M.M. Tharwat, M.A. Abdelkawy, Indian J. Phys. 86, 1107 (2012), doi: 10.1007/s12648-012-0173-4
• [9] A.M. Wazwaz, Appl. Math. Comput. 200, 160 (2008), doi: 10.1016/j.amc.2007.11.001
• [10] A.H. Khater, D.K. Callebaut, M.A. Abdelkawy, Phys. Plasmas 17, 122902 (2010), doi: 10.1063/1.3520065
• [11] A.H. Khater, D.K. Callebaut, A.H. Bhrawy, M.A. Abdelkawy, J. Comput. Appl. Math. 242, 28 (2013), doi: 10.1016/j.cam.2012.10.012
• [12] S. Ghosh, S. Nandy, Nucl. Phys. B 561, 451 (1999), doi: 10.1016/S0550-3213(99)00484-8
• [13] R.A. Baldock, B.A. Robson, R.F. Barrett, Nucl. Phys. A 366, 270 (1981), doi: 10.1016/0375-9474(81)90288-8
• [14] A.N. Beavers Jr., E.D. Denman, Math. Biosci. 21, 143 (1974), doi: 10.1016/0025-5564(74)90111-4
• [15] Y.C. Hon, E.G. Fan, Nonlin. Anal. 71, 3501 (2009), doi: 10.1016/j.na.2009.02.029
• [16] X.B. Hu, B.L. Guo, H.W. Tam, J. Phys. Soc. Japan 72, 189 (2003), doi: 10.1143/JPSJ.72.189
• [17] N.N. Rao, P.K. Shukla, Phys. Plasmas 4, 636 (1997), doi: 10.1063/1.872160
• [18] N.L. Shatashvili, N.N. Rao, Phys. Plasmas 6, 66 (1999), doi: 10.1063/1.873259
• [19] P. Saha, S. Banerjee, A.R. Chowdhury, Chaos Solit. Fract. 14, 145 (2002), doi: 10.1016/S0960-0779(01)00117-5
• [20] A.R. Chowdhury, B. Dasgupta, N.N. Rao, Chaos Solit. Fract. 9, 1747 (1998), doi: 10.1016/S0960-0779(98)00005-8
• [21] Y. Hase, J. Satsuma, J. Phys. Soc. Jpn. 57, 679 (1988), doi: 10.1143/JPSJ.57.679
• [22] D. Rostamy, F. Zabihi, K. Karimi, S. Khalehoghli, Appl. Math. 2, 258 (2011), doi: 10.4236/am.2011.22030
• [23] A. Maccari, J. Math. Phys. 37, 6207 (1996), doi: 10.1063/1.531773
• [24] H. Zhao, Chaos Solit. Fract. 36, 359 (2008), doi: 10.1016/j.chaos.2006.06.060
• [25] A.H. Bhrawy, M.A. Abdelkawy, A. Biswas, Optik Int. J. Light Electron Opt. 125, 1537 (2014), doi: 10.1016/j.ijleo.2013.08.036
• [26] A. Bekir, Commun. Nonlinear Sci. Numer. Simul. 14, 1069 (2009), doi: 10.1016/j.cnsns.2008.05.007
• [27] A. Jabbari, H. Kheiri, A. Bekir, Comput. Math. Appl. 62, 2177 (2011), doi: 10.1016/j.camwa.2011.07.003
• [28] B. Ahmed, A. Biswas, E.V. Krishnan, S. Kumar, Rom. Rep. Phys. 65, 1138 (2013)

Identifiers

DOI

10.12693/APhysPolA.129.278