PL EN


Preferences help
enabled [disable] Abstract
Number of results
2014 | 126 | 6 | 1221-1225
Article title

Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity

Content
Title variants
Languages of publication
EN
Abstracts
EN
We study the hybrid Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. Three different techniques - the ansatz method, Lie-symmetry analysis and the (G'/G)-expansion method - are used to find shock wave solutions. Several constraint conditions naturally emerge that guarantee the existence of shock waves. We discuss the nature of the solutions generated by the different methods.
Keywords
EN
Contributors
author
  • School of Mathematics and Statistics, Beijing Institute of Technology, Beijing-100081, People's Republic of China
author
  • School of Mathematics and Statistics, Beijing Institute of Technology, Beijing-100081, People's Republic of China
author
  • Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran
author
  • Applied and Industrial Mathematics Research Group, School of Physical, Environmental and Mathematical Sciences, UNSW Canberra, ACT 2600, Australia
author
  • 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] R. Abazari, Rom. Rep. Phys. 66, 286 (2014)
  • [2] M. Antonova, A. Biswas, Commun. Nonlin. Sci. Num. Simul. 14, 734 (2009), doi: 10.1016/j.cnsns.2007.12.004
  • [3] L. Girgis, A. Biswas, Appl. Math. Comput. 216, 2226 (2010), doi: 10.1016/j.amc.2010.03.056
  • [4] P. Razborova, H. Triki, A. Biswas, Ocean Eng. 63, 1 (2013), doi: 10.1016/j.oceaneng.2013.01.014
  • [5] G.-W. Wang, T.Z. Xu, S. Johnson, A. Biswas, Astrophys. Space Sci. 349, 317 (2014), doi: 10.1007/s10509-013-1659-z
  • [6] H. Zhao, Chaos Solitons Fractals 36, 1283 (2008), doi: 10.1016/j.chaos.2006.07.047
  • [7] D.J. Huang, D.S. Li, H.Q. Zhang, Chaos Solitons Fractals 31, 586 (2007), doi: 10.1016/j.chaos.2005.10.007
  • [8] A. Senthilkumar, Turk. J. Math. 37, 652 (2013), doi: 10.3906/mat-1203-35
  • [9] E. Yomba, Phys. Lett. A 372, 1048 (2008), doi: 10.1016/j.physleta.2007.09.003
  • [10] L.-H. Zhang, Appl. Math. Comput. 208, 144 (2009), doi: 10.1016/j.amc.2008.11.020
  • [11] H. Triki, Z. Jovanoski, A. Biswas, Appl. Math. Inf. Sci. 8, 113 (2014), doi: 10.12785/amis/080113
  • [12] H. Triki, Z. Jovanoski, A. Biswas, Ind. J. Phys. 88, 71 (2014), doi: 10.1007/s12648-013-0380-7
  • [13] R. Cherniha, V. Davydovych, J. Phys. A Math. Theor. 46, 185204 (2013), doi: 10.1088/1751-8113/46/18/185204
  • [14] M. Wang, X. Li, J. Zhang, Phys. Lett. A 372, 417 (2008), doi: 10.1016/j.physleta.2007.07.051
  • [15] D.R. Rowland, Z. Jovanoski, Phys. Rev. B 54, 13484 (1996), doi: 10.1103/PhysRevB.54.13484
  • [16] X.-J. Miao, Z.-Y. Zhang, Commun. Nonlin. Sci. Num. Simulat. 16, 4257 (2011), doi: 10.1016/j.cnsns.2011.03.032
  • [17] C. Bai, Phys. Lett. A 288, 191 (2001), doi: 10.1016/S0375-9601(01)00522-9
  • [18] A.-M. Wazwaz, Math. Comp. Simulat. 72, 1 (2006), doi: 10.1016/j.matcom.2006.03.002
  • [19] I.E. Inan, Phys. Lett. A 371, 90 (2007), doi: 10.1016/j.physleta.2007.06.009
  • [20] E.J. Parkes, Appl. Math. Comput. 217, 1749 (2010), doi: 10.1016/j.amc.2009.11.037
  • [21] E.J. Parkes, Appl. Math. Comput. 217, 1759 (2010), doi: 10.1016/j.amc.2010.03.073
  • [22] N.A. Kudryashov, Commun. Nonlin. Sci. Num. Simulat. 14, 3507 (2009), doi: 10.1016/j.cnsns.2009.01.023
  • [23] N.A. Kudryashov, Appl. Math. Comput. 217, 1755 (2010), doi: 10.1016/j.amc.2010.03.071
  • [24] Z.-Y. Yan, Int. J. Mod. Phys. C 14, 225 (2003), doi: 10.1142/S0129183103004383
  • [25] Z.-Y. Yan, Comp. Phys. Commun. 148, 30 (2003), doi: 10.1016/S0010-4655(02)00465-4
  • [26] S.A. Khuri, Chaos Solitons Fractals 20, 1037 (2004), doi: 10.1016/j.chaos.2003.09.042
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n601kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.