New Optical Solitons of the Longitudinal Wave Equation in a Magnetoelectro-Elastic Circular Rod

• Authors: K. Hosseini , P. Mayeli , E. Yazdani Bejarbaneh , Qin Zhou
• Languages of publication: EN

Abstracts

EN

This paper studies a nonlinear partial differential equation known as the nonlinear longitudinal wave equation which describes the propagation of optical solitons in a magnetoelectro-elastic circular rod. Mentioned task is performed by solving this nonlinear equation using the well-designed modified Kudryashov method, producing a series of new optical solitons. The capability of the modified Kudryashov method in handling the nonlinear longitudinal wave equation in a magnetoelectro-elastic circular rod is confirmed.

Keywords

EN

nonlinear longitudinal wave equation; magneto-electro-elastic circular rod; modified Kudryashov method; new optical solitons

• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 1
• Pages: 20-22

Dates

published

2018-01

received

2017-06-17

(unknown)

2017-11-06

Contributors

author

K. Hosseini

• Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

author

P. Mayeli

• Young Researchers and Elite Club, Lahijan Branch, Islamic Azad University, Lahijan, Iran

author

E. Yazdani Bejarbaneh

• Young Researchers and Elite Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran

author

Qin Zhou

• School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, PR China

References

• [1] W. Liu, K. Chen, Pramana J. Phys. 81, 377 (2013), doi: 10.1007/s12043-013-0583-7
• [2] W. Djoudi, A. Zerarka, 9621 Optik 127, (2016), doi: 10.1016/j.ijleo.2016.07.045
• [3] A. Nazarzadeh, M. Eslami, M. Mirzazadeh, Pramana J. Phys. 81, 225 (2013), doi: 10.1007/s12043-013-0565-9
• [4] K. Hosseini, R. Ansari, P. Gholamin, J. Math. Anal. Appl. 387, 807 (2012), doi: 10.1016/j.jmaa.2011.09.044
• [5] H. Jafari, A. Sooraki, C.M. Khalique, Optik 124, 3929 (2013), doi: 10.1016/j.ijleo.2012.11.039
• [6] M. Mirzazadeh, A. Biswas, Optik 125, 5467 (2014), doi: 10.1016/j.ijleo.2014.02.042
• [7] K. Hosseini, P. Gholamin, Diff. Equ. Dyn. Sys. 23, 317 (2015), doi: 10.1007/s12591-014-0222-x
• [8] X.H. Wu, J.H. He, Chaos Solitons Fractals 38, 903 (2008), doi: 10.1016/j.chaos.2007.01.024
• [9] J.H. He, X.H. Wu, Chaos Solitons Fractals 30, 700 (2006), doi: 10.1016/j.chaos.2006.03.020
• [10] O. Guner, H. Atik, Optik 127, 10076 (2016), doi: 10.1016/j.ijleo.2016.07.070
• [11] H. Bulut, H.M. Baskonus, Y. Pandir, Abstr. Appl. Anal. 2013, 636802 (2013), doi: 10.1155/2013/636802
• [12] M. Odabasi, E. Misirli, Math. Meth. Appl. Sci., mma.3533 (2015), doi: 10.1002/mma.3533
• [13] Y.A. Tandogan, N. Bildik, AIP Conf. Proc. 1738, 290018 (2016), doi: 10.1063/1.4952090
• [14] N.A. Kudryashov, Commun. Nonlin. Sci. Numer. Simul. 17, 2248 (2012), doi: 10.1016/j.cnsns.2011.10.016
• [15] K. Hosseini, Z. Ayati, Nonlin. Sci. Lett. A 7, 58 (2016)
• [16] Z. Ayati, K. Hosseini, M. Mirzazadeh, Nonlinear Eng. 6, 25 (2017), doi: 10.1515/nleng-2016-0020
• [17] K. Hosseini, A. Bekir, R. Ansari, Optik 132, 203 (2017), doi: 10.1016/j.ijleo.2016.12.032
• [18] K. Hosseini, P. Mayeli, R. Ansari, Optik 130, 737 (2017), doi: 10.1016/j.ijleo.2016.10.136
• [19] S. Saha Ray, Chin. Phys. B 25, 040204 (2016), doi: 10.1088/1674-1056/25/4/040204
• [20] K. Hosseini, R. Ansari, Waves Random Complex Media 27, 628 (2017), doi: 10.1080/17455030.2017.1296983
• [21] K. Hosseini, A. Bekir, M. Kaplan, J. Mod. Opt. 64, 1688 (2017), doi: 10.1080/09500340.2017.1302607
• [22] E.M.E. Zayed, K.A.E. Alurrfi, World J. Modelling Simul. 11, 308 (2015)
• [23] S.M. Ege, E. Misirli, Adv. Diff. Equ. 2014, 135 (2014)
• [24] M. Younis, S.T.R. Rizvi, Optik 126, 5812 (2015), doi: 10.1016/j.ijleo.2015.08.233
• [25] Q. Zhou, M. Ekici, A. Sonmezoglu, M. Mirzazadeh, Optik 127, 6277 (2016), doi: 10.1016/j.ijleo.2016.04.119
• [26] K. Hosseini, A. Bekir, R. Ansari, J. Quant. Electron. 49, 131 (2017), doi: 10.1007/s11082-017-0968-9
• [27] Q. Zhou, M. Mirzazadeh, M. Ekici, A. Sonmezoglu, Nonlin. Dyn. 86, 623 (2016), doi: 10.1007/s11071-016-2911-1
• [28] A.H. Arnous, M.Z. Ullah, S.P. Moshokoa, Q. Zhou, H. Triki, M. Mirzazadeh, A. Biswas, Nonlin. Dyn. 88, 1891 (2017), doi: 10.1007/s11071-017-3351-2
• [29] M. Ekici, M. Mirzazadeh, M. Eslami, Nonlin. Dyn. 84, 669 (2016), doi: 10.1007/s11071-015-2515-1
• [30] H. Tariq, G. Akram, Nonlin. Dyn. 88, 581 (2017), doi: 10.1007/s11071-016-3262-7
• [31] A. Sonmezoglu, M. Yao, M. Ekici, M. Mirzazadeh, Q. Zhou, Nonlin. Dyn. 88, 595 (2017), doi: 10.1007/s11071-016-3263-6
• [32] B. Muatjetjeja, O.P. Porogo, Nonlinear Dyn. 89, 443 (2017), doi: 10.1007/s11071-017-3463-8
• [33] H. Triki, T. Ak, M. Ekici, A. Sonmezoglu, M. Mirzazadeh, A.H. Kara, T. Aydemir, Nonlin. Dyn. 89, 501 (2017), doi: 10.1007/s11071-017-3467-4
• [34] L.D. Moleleki, B. Muatjetjeja, A.R. Adem, Nonlin. Dyn. 87, 2187 (2017), doi: 10.1007/s11071-016-3182-6
• [35] R. Shi, Z. Song, T. Feng, G. Wang, X. Wang, Nonlin. Dyn. 88, 255 (2017), doi: 10.1007/s11071-016-3241-z
• [36] A.M. Wazwaz, Nonlin. Dyn. 83, 591 (2016), doi: 10.1007/s11071-015-2349-x
• [37] A.M. Wazwaz, J. Ocean Eng. Sci. 1, 181 (2016), doi: 10.1016/j.joes.2016.06.003
• [38] H. Triki, A.M. Wazwaz, Phys. Lett. A 380, 1260 (2016), doi: 10.1016/j.physleta.2016.02.002
• [39] H.H. Zhao, X.J. Zhao, H.Q. Hao, Appl. Math. Lett. 61, 8 (2016), doi: 10.1016/j.aml.2016.04.016
• [40] H.Q. Hao, R. Guo, J.W. Zhang, Nonlin. Dyn. 88, 1615 (2017), doi: 10.1007/s11071-017-3333-4
• [41] R. Guo, H.Q. Hao, Commun. Nonlin. Sci. Numer. Simul. 18, 2426 (2013), doi: 10.1016/j.cnsns.2013.01.019
• [42] X.J. Zhao, R. Guo, H.Q. Hao, Appl. Math. Lett. 75, 114 (2018), doi: 10.1016/j.aml.2017.07.002
• [43] H.M. Baskonus, H. Bulut, A. Atangana, Smart Mater. Struct. 25, 035022 (2016), doi: 10.1088/0964-1726/25/3/035022
• [44] M. Younis, S. Ali, Waves Random Complex Media 25, 549 (2015), doi: 10.1080/17455030.2015.1058993
• [45] S. Yang, T. Xu, Nonlin. Dyn. 87, 2735 (2017), doi: 10.1007/s11071-016-3223-1
• [46] C.X. Xue, E. Pan, S.Y. Zhang, Smart Mater. Struct. 20, 105010 (2011), doi: 10.1088/0964-1726/20/10/105010
• [47] Q. Zhou, Nonlin. Dyn. 83, 1403 (2016), doi: 10.1007/s11071-015-2412-7

Identifiers

DOI

10.12693/APhysPolA.131.20