Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2017 | 131 | 2 | 240-251

Article title

Exact Solutions and Optical Soliton Solutions of the Nonlinear Biswas-Milovic Equation with Dual-Power Law Nonlinearity

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this article, we apply two mathematical tools, namely the first integral method and the rational (G'/G)-expansion method to construct the exact solutions with parameters of the nonlinear Biswas-Milovic equation with dual-power law nonlinearity. When these parameters take special values, the solitary wave solutions are derived from the exact solutions. We compare between the results yielding from these integration tools. A comparison between our results in this paper and the well-known results is also given.

Year

Volume

131

Issue

2

Pages

240-251

Physical description

Dates

published
2017-02
received
2016-05-09
(unknown)
2017-01-16

Contributors

author
  • Department of Mathematics, Faculty of Sciences, Zagazig University, Zagazig, Egypt
author
  • Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt
  • Department of Mathematics, Faculty of Education and Science, Taiz University, Taiz, Yemen

References

  • [1] M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform, Cambridge University Press, New York 1991
  • [2] R. Hirota, Phys. Rev. Lett. 27, 1192 (1971), doi: 10.1103/PhysRevLett.27.1192
  • [3] J. Weiss, M. Tabor, G. Carnevale, J. Math. Phys. 24, 522 (1983), doi: 10.1063/1.525721
  • [4] N.A. Kudryashov, J. Appl. Math. Mech. 52, 361 (1988), doi: 10.1016/0021-8928(88)90090-1
  • [5] N.A. Kudryashov, Phys. Lett. A 147, 287 (1990), doi: 10.1016/0375-9601(90)90449-X
  • [6] N.A. Kudryashov, Phys. Lett. A 155, 269 (1991), doi: 10.1016/0375-9601(91)90481-M
  • [7] M.R. Miura, Bäcklund Transformation, Springer, Berlin 1978
  • [8] C. Rogers, W.F. Shadwick, Bäcklund Transformations and their Applications, Academic Press, New York 1982
  • [9] J.H. He, X.H. Wu, Chaos Solitons Fract. 30, 700 (2006), doi: 10.1016/j.chaos.2006.03.020
  • [10] S. Zhang, Chaos Solitons Fract. 38, 270 (2008), doi: 10.1016/j.chaos.2006.11.014
  • [11] E.M.E. Zayed, A.-G. Al-Nowehy, Optik 127, 4970 (2016), doi: 10.1016/j.ijleo.2016.02.010
  • [12] E.G. Fan, Phys. Lett. A 277, 212 (2000), doi: 10.1016/S0375-9601(00)00725-8
  • [13] S. Zhang, T.C. Xia, Appl. Math. E-Notes 8, 58 (2008) http://www.math.nthu.edu.tw/ãmen/2008/070108-2.pdf
  • [14] Y. Chen, Q. Wang, Chaos Solitons Fract. 24, 745 (2005), doi: 10.1016/j.chaos.2004.09.014
  • [15] S. Liu, Z. Fu, S. Liu, Q. Zhao, Phys. Lett. A 289, 69 (2001), doi: 10.1016/S0375-9601(01)00580-1
  • [16] D. Lu, Chaos Solitons Fract. 24, 1373 (2005), doi: 10.1016/j.chaos.2004.09.085
  • [17] Q. Zhou, Q. Zhu, Y. Liu, H. Yu, P. Yao, A. Biswas, Laser Phys. 25, 015402 (2015), doi: 10.1088/1054-660X/25/1/015402
  • [18] Q. Zhou, Q. Zhu, Y. Liu, H. Yu, C. Wei, P. Yao, A.H. Bhrawy, A. Biswas, Laser Phys. 25, 025402 (2015), doi: 10.1088/1054-660X/25/2/025402
  • [19] E.M.E. Zayed, J. Phys. A Math. Theor. 42, 195202 (2009), doi: 10.1088/1751-8113/42/19/195202
  • [20] M.L. Wang, X. Li, J. Zhang, Phys. Lett. A 372, 417 (2008), doi: 10.1016/j.physleta.2007.07.051
  • [21] S. Zhang, J.L. Tong, W. Wang, Phys. Lett. A 372, 2254 (2008), doi: 10.1016/j.physleta.2007.11.026
  • [22] E.M.E. Zayed, K.A. Gepreel, J. Math. Phys. 50, 013502 (2009), doi: 10.1063/1.3033750
  • [23] N.A. Kudryashov, Appl. Math. Comput. 217, 1755 (2010), doi: 10.1016/j.amc.2010.03.071
  • [24] E.M.E. Zayed, J. Appl. Math. Inform. 28, 383 (2010) http://ocean.kisti.re.kr/downfile/volume/kscam/E1MCA9/2010/v28n1_2/E1MCA9_2010_v28n1_2_383.pdf
  • [25] M. Mirzzadeh, M. Eslami, Q. Zhou, M.F. Mahmood, E. Zerrad, A. Biswas, M. Belic, J. Nonlin. Opt. Phys. Mater. 24, 1550017 (2015), doi: 10.1142/S0218863515500174
  • [26] S. Zhang, Y.N. Sun, J.M. Ba, L. Dong, Z. Naturforsch. 66a, 33 (2011), doi: 10.1515/zna-2011-1-206
  • [27] L.X. Li, Q.E. Li, L.M. Wang, Appl. Math. J. Chin. Uni. 25, 454 (2010), doi: 10.1007/s11766-010-2128-x
  • [28] E.M.E. Zayed, M.A.M. Abdelaziz, Math. Prob. Eng. 2012, 725061 (2012), doi: 10.1155/2012/725061
  • [29] E.M.E. Zayed, K.A.E. Alurrfi, Math. Prob. Eng. 2014, 521712 (2014), doi: 10.1155/2014/521712
  • [30] E.M.E. Zayed, K.A.E. Alurrfi, Math. Prob. Eng. 2014, 746538 (2014), doi: 10.1155/2014/746538
  • [31] A.J.M. Jawad, M.D. Petkovic, A. Biswas, Appl. Math. Comput. 217, 869 (2010), doi: 10.1016/j.amc.2010.06.030
  • [32] E.M.E. Zayed, Appl. Math. Comput. 218, 3962 (2011), doi: 10.1016/j.amc.2011.09.025
  • [33] E.M.E. Zayed, A.-G. Al-Nowehy, Z. Naturforsch. 71a, 103 (2016), doi: 10.1515/zna-2015-0414
  • [34] W.X. Ma, T. Huang, Y. Zhang, Phys. Scr. 82, 065003 (2010), doi: 10.1088/0031-8949/82/06/065003
  • [35] E.M.E. Zayed, A.-G. Al-Nowehy, Z. Naturforsch. 70a, 775 (2015), doi: 10.1515/zna-2015-0151
  • [36] W.X. Ma, J.H. Lee, Chaos Solitons Fract. 42, 1356 (2009), doi: 10.1016/j.chaos.2009.03.043
  • [37] A.M. Yang, X.J. Yang, Z.B. Li, Abstr. Appl. Anal. 2013, 351057 (2013), doi: 10.1155/2013/351057
  • [38] R.M. El-Shiekh, A.-G. Al-Nowehy, Z. Naturforsch. 68a, 255 (2013), doi: 10.5560/ZNA.2012-0108
  • [39] G.M. Moatimid, R.M. El-Shiekh, A.-G. Al-Nowehy, Nonlin. Sci. Lett. A 4, 1 (2013), doi: 10.5923.j.ajcam.20120201.03.html
  • [40] M. Ekici, M. Mirzazadeh, M. Eslami, Q. Zhou, S.P. Moshokoa, A. Biswas, M. Belic, Optik 127, 10659 (2016), doi: 10.1016/j.ijleo.2016.08.076
  • [41] E.M.E. Zayed, Y.A. Amer, R.M.A. Shohib, Int. J. Phys. Sci. 8, 1246 (2013), doi: 10.5897/IJPS2013.3905
  • [42] S.D. Zhu, Chaos Solitons Fract. 37, 1335 (2008), doi: 10.1016/j.chaos.2006.10.015
  • [43] A. Biswas, D. Milovic, M. Edwards, Mathematical Theory of Dispersion-Managed Optical Solitons, Springer-Verlag, New York 2010
  • [44] A.K. Sarma, M. Saha, A. Biswas, J. Infrared Millim. THz Waves 31, 1048 (2010), doi: 10.1007/s10762-010-9673-5
  • [45] A. Biswas, Commun. Nonlin. Sci. Numer. Simul. 15, 2744 (2010), doi: 10.1016/j.cnsns.2009.10.023
  • [46] A.H. Bhrawy, M.A. Abdelkawy, A. Biswas, Indian J. Phys. 87, 1125 (2013), doi: 10.1007/s12648-013-0338-9
  • [47] Q. Zhou, Q. Zhu, M. Savescu, A. Bhrawy, A. Biswas, Proc. Roman. Acad. Ser. A 16, 152 (2015) http://acad.ro/sectii2002/proceedings/doc2015-2/05Biswas.pdf
  • [48] A.C. Cevikela, E. Aksoy, Ö. Günerb, A. Bekir, Int. J. Nonlin. Sci. 16, 195 (2013) http://internonlinearscience.org/upload/papers/IJNS%20Vol%2016%20No%203%20paper%201%20Dark-Bright%20Soliton%20Solutions%20for%20Some%20Evolution%20Equations.pdf
  • [49] A.H. Bhrawy, M.A. Abdelkawy, A. Biswas, Optik 125, 1537 (2014), doi: 10.1016/j.ijleo.2013.08.036
  • [50] H. Triki, F. Azzouzi, A. Biswas, S.P. Moshokoa, M. Belic, Optik 128, 172 (2017), doi: 10.1016/j.ijleo.2016.10.026
  • [51] M. Savescu, Q. Zhou, L. Moraru, A. Biswas, S.P. Moshokoa, M. Belic, Optik 127, 8995 (2016), doi: 10.1016/j.ijleo.2016.06.089
  • [52] A.K. Sarma, A. Biswas, Opt. Appl. 41, 205 (2014) http://arxiv.org/pdf/1212.4110
  • [53] A.A. Alshaery, A.H. Bhrawy, E.M. Hilal, A. Biswas, J. Electromagn. Waves Appl. 28, 275 (2014), doi: 10.1080/09205071.2013.861752
  • [54] M. Savescu, S. Johnson, A.H. Kara, S.H. Crutcher, R. Kohl, A. Biswas, J. Electromagn. Waves Appl. 28, 242 (2014), doi: 10.1080/09205071.2013.863716
  • [55] H. Triki, A. Biswas, D. Milovic, M. Belic, Acta Phys. Pol. A 130, 718 (2016), doi: 10.12693/APhysPolA.130.718
  • [56] H. Triki, A. Biswas, D. Milovic, M. Belic, Opt. Commun. 366, 362 (2016), doi: 10.1016/j.optcom.2016.01.005
  • [57] H. Triki, A. Biswas, S.P. Moshokoa, M. Belic, Optik 128, 71 (2017), doi: 10.1016/j.ijleo.2016.10.017
  • [58] Q. Zhou, Y. Zhong, M. Mirzazadeh, A.H. Bhrawy, E. Zerrad, A. Biswas, Waves Rand. Compl. Media 26, 204 (2016), doi: 10.1080/17455030.2015.1132863
  • [59] S. Jana, Shivani, G.S. Parmar, B. Kaur, Q. Zhou, A. Biswas, M. Belic, Optoelectron. Adv. Mater. Rapid Commun. 10, 143 (2016) http://www.researchgate.net/publication/303138883
  • [60] B. Kaur, S. Jana, Q. Zhou, A. Biswas, M. Belic, J. Optoelectron. Adv. Mater. 18, 428 (2016) http://scholar.google.co.in/scholar?oi=bibs&cluster=14947168599911061873&btnI=1&hl=en
  • [61] M. Mirzazadeh, M. Ekici, A. Sonomezoglu, Q. Zhou, H. Triki, S. P. Moshokoa, A. Biswas, M. Belic, Optik 127, 11311 (2016), doi: 10.1016/j.ijleo.2016.09.058
  • [62] A.H. Kara, A. Biswas, M. Belic, Optik 127, 11662 (2016), doi: 10.1016/j.ijleo.2016.09.075
  • [63] S. Kumar, Q. Zhou, A.H. Bhrawy, E. Zerrad, A. Biswas, M. Belic, Roman. Rep. Phys. 68, 341 (2016) http://rrp.infim.ro/2016_68_1/A27.pdf
  • [64] G. Ebadi, A. Mojavir, J.V. Guzman, K.R. Khan, M.F. Mahmood, L. Moraru, A. Biswas, M. Belic, Optoelectron. Adv. Mater. Rapid Commun. 8, 828 (2014) http://www.researchgate.net/publication/274719447_Solitonsin_Optical_Metamaterials_by_F-Expansion_Scheme
  • [65] H. Triki, A. Biswas, S.P. Moshokoa, M. Belic, Optik 128, 63 (2017), doi: 10.1016/j.ijleo.2016.10.010
  • [66] A. Biswas, D. Milovic, Commun. Nonlin. Sci. Num. Simul. 15, 1473 (2010), doi: 10.1016/j.cnsns.2009.06.017
  • [67] E.M.E. Zayed, K.A.E. Alurrfi, J. Adv. Phys. 11, 3001 (2015) http://paper.researchbib.com/view/paper/76446
  • [68] E.M.E. Zayed, A.-G. Al-Nowehy, Open Phys. 14, 129 (2016), doi: 10.1515/phys-2016-0013
  • [69] M. Mirzazadeh, M. Eslami, A.H. Arnous, Eur. Phys. J. Plus 130, 1 (2015), doi: 10.1140/epjp/i2015-15004-x
  • [70] A. Biswas, Quant. Phys. Lett. 1, 79 (2012) http://naturalspublishing.com_www.naturalspublishing.com/files/published/z125r1by89j279.pdf
  • [71] S.Z. Feng, J. Phys. A Math. Gen. 35, 343 (2002), doi: 10.1088/0305-4470/35/2/312
  • [72] B. Zheng, WSEAS Trans. Math. 10, 249 (2011) http://wseas.us/e-library/transactions/mathematics/2011/53-532.pdf
  • [73] E.M.E. Zayed, Y.A. Amer, Comput. Math. Model. 27, 80 (2016), doi: 10.1007/s10598-015-9305-y
  • [74] E.M.E. Zayed, A.-G. Al-Nowehy, J. Part. Diff. Eq. 29, 218 (2016) http://global-sci.org/jpde/readabs.php?vol=29&no=3&page=218&year=2016&ppage=245
  • [75] W.X. Ma, B. Fuchssteiner, Int. J. Nonlin. Mech. 31, 329 (1996), doi: 10.1016/0020-7462(95)00064-X

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv131n207kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.