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2015 | 13 | 1 |
Tytuł artykułu

Solving nonlinear evolution equation system using two different methods

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with constructing more general exact solutions of the coupled Higgs equation by using the (G0/G, 1/G)-expansion and (1/G0)-expansion methods. The obtained solutions are expressed by three types of functions: hyperbolic, trigonometric and rational functions with free parameters. It has been shown that the suggested methods are productive and will be used to solve nonlinear partial differential equations in applied mathematics and engineering. Throughout the paper, all the calculations are made with the aid of the Maple software.
Wydawca

Czasopismo
Rocznik
Tom
13
Numer
1
Opis fizyczny
Daty
otrzymano
2015-09-14
zaakceptowano
2015-09-30
online
2015-12-31
Twórcy
  • Eskisehir Osmangazi
    University, Art-Science Faculty, Department of Mathematics-
    Computer, Eskisehir-Turkey
autor
  • Eskisehir Osmangazi
    University, Art-Science Faculty, Department of Mathematics-
    Computer, Eskisehir-Turkey
  • Eskisehir Osmangazi
    University, Art-Science Faculty, Department of Mathematics-
    Computer, Eskisehir-Turkey
Bibliografia
  • [1] R. Hirota, Direct method of finding exact solutions of nonlinearevolution equations, In: R. Bullough, P. Caudrey (Eds.), Backlundtransformations (Springer, Berlin, 1980)
  • [2] V.B. Matveev, M.A. Salle, Darboux Transformation and Solitons(Springer, Berlin, 1991)
  • [3] Z. Yan, Chaos Soliton Fract. 21, 1013 (2004)[Crossref]
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  • [5] C.M. Khalique, A. Biswas, Commun. Nonlinear Sci. Numer.Simul. 14, 4033 (2009)[Crossref]
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  • [7] K.W. Chow, J. Math. Phys., 36, 4125 (1995)
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  • [10] E. Fan, H. Zhang, Phys. Lett. A, 246, 403 (1998)
  • [11] J. Liu, K. Yang, Chaos Soliton Fract. 22, 111 (2004)[Crossref]
  • [12] A. Bekir, Physica Scripta 77, 501 (2008)
  • [13] A. M. Wazwaz, Math. Comput. Model. 40, 499 (2004)[Crossref]
  • [14] A. Boz, A. Bekir, Comput. Math. Appl. 56, 1451 (2008)[Crossref]
  • [15] J.H. He, X.H. Wu, Chaos Soliton. Fract. 30, 700 (2006)[Crossref]
  • [16] M.J. Ablowitz, H. Segur, Solitons and Inverse Scattering Transform,(SIAM, Philadelphia, 1981)
  • [17] V.O. Vakhnenko, E.J. Parkes, A.J. Morrison, Chaos Soliton Fract.17, 683 (2003)[Crossref]
  • [18] A.C. Cevikel, A. Bekir, M. Akar, S. San, Pramana J. Phys., 79, 333(2012)
  • [19] A. Bekir, Commun. Nonlinear Sci. Numer. Simul. 13, 1748 (2008)[Crossref]
  • [20] A. Bekir, M. Kaplan, O. Guner, AIP Conf. Proc. 1611, 30 (2014)
  • [21] A. Bekir, A. Akbulut, M. Kaplan, IJNS 19, 159 (2015)
  • [22] Y. Gurefe, A. Sonmezoglu, E. Mısırlı, Pramana J. Phys. 77, 1023(2011)[Crossref]
  • [23] A. Bekir, Phys. Lett. A 372, 3400 (2008)
  • [24] X. Liu, L. Tian, Y. Wu, Appl. Math. Comput. 217, 1376 (2010)
  • [25] H. Zhang, Acta Appl. Math. 106, 241 (2009)[Crossref]
  • [26] M. Kaplan, A. Akbulut, A. Bekir, Z. Naturforsch. A Phys. Sci. A70, 969 (2015)
  • [27] L.X. Li, E.Q. Li, M.L. Wang, App. Math.-A J. Chin. Univ. 25, 454(2010)[Crossref]
  • [28] M. Tajiri, J. Phys. Soc. Japan 9, 2277 (1983)[Crossref]
  • [29] H. Zhao, Chaos Soliton Fract. 36, 359 (2008)[Crossref]
  • [30] A. Bekir,Commun. Nonlinear Sci. Numer. Simul. 14, 1069 (2009)[Crossref]
  • [31] A. Yokus, Solutions of some nonlinear partial differential equationsand comparison of their solutions, PhD thesis, (Fırat University,Elazig, Turkey, 2011)
  • [32] M. Kaplan,O. Unsal, A. Bekir,Math. Method. Appl. Sci. (in press)(2016)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0054
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