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Number of results

Journal

2014 | 12 | 7 | 480-489

Article title

Travelling wave solutions: A new approach to the analysis of nonlinear physical phenomena

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.

Publisher

Journal

Year

Volume

12

Issue

7

Pages

480-489

Physical description

Dates

published
1 - 7 - 2014
online
21 - 6 - 2014

Contributors

  • Department of Mathematics, Faculty of Basic Sciences, University of Malayer, Malayer, Iran
author
  • Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran

References

  • [1] K. A. Gepreel, M. S. Mohamed, Chinese Phys. B 22, 010201 (2013) http://dx.doi.org/10.1088/1674-1056/22/1/010201[Crossref]
  • [2] K. A. Gepreel, S. Omran, Chinese Phys. 21, 110204 (2012) http://dx.doi.org/10.1088/1674-1056/21/11/110204[Crossref]
  • [3] K. A. Gepreel, Wseas Trans. Math. 7, 625 (2012)
  • [4] M. A. E. Herzallah, K. A. Gepreel, Appl. Math. Model. 36, 5678 (2012) http://dx.doi.org/10.1016/j.apm.2012.01.012[Crossref]
  • [5] K. A. Gepreel, S. M. Abo-Dahab, T. A. Nofal, Math. Prob. Eng. Doi: 2012:827901
  • [6] K. A. Gepreel, Appl. Math. Lett. 24, 1428 (2011) http://dx.doi.org/10.1016/j.aml.2011.03.025[Crossref]
  • [7] S. J. Liao, Beyond Perturbation: Introduction to Homotopy Analysis Method (Chapman Hall/CRC Press, Boca Raton, 2003 http://dx.doi.org/10.1201/9780203491164[Crossref]
  • [8] S. Abbasbandy, Nonlinear Analysis RWA 11, 307 (2010) http://dx.doi.org/10.1016/j.nonrwa.2008.11.005[Crossref]
  • [9] I. Pastor, V. M. Perez-Garcia, F. Encinas, J. M. Guerra, L. Vazquez, Physica D 66, 412 (1993) http://dx.doi.org/10.1016/0167-2789(93)90076-D[Crossref]
  • [10] S. Jimenez, L. Vazquez, Comput. Appl. Math. 12, 7 (1993)
  • [11] A. K. Golmankhaneh, N. A. Porghoveh, D. Baleanu, Rom. Rep. Phys. 350 (2013)
  • [12] X. J. Yang, D. Baleanu, W. P. Zhong, P. Romanian. Acad. A 14, 127 (2013)
  • [13] S. Abbasbandy, Y. Tan, S.J. Liao, Appl. Math. Comput. 188, 1794 (2007) http://dx.doi.org/10.1016/j.amc.2006.11.136[Crossref]
  • [14] A. Fakhari, D. Domairry, G. Ebrahimpour, Phys. Lett. A 368, 64 (2007) http://dx.doi.org/10.1016/j.physleta.2007.03.062[Crossref]
  • [15] F. M. Allan, Chaos Solitons Fract. 39, 1744 (2009) http://dx.doi.org/10.1016/j.chaos.2007.06.116[Crossref]
  • [16] A. S. Bataineh, M. S. M. Noorani, I. Hashim, Commun. Nonlinear Sci. 13, 2060 (2008) http://dx.doi.org/10.1016/j.cnsns.2007.05.026[Crossref]
  • [17] A. S. Bataineh, M. S. M. Noorani, I. Hashim, Commun. Nonlinear Sci. 14, 409 (2009) http://dx.doi.org/10.1016/j.cnsns.2007.10.007[Crossref]
  • [18] M. Ganjiani, H. Ganjiani, Nonlinear Dyn. 56, 159 (2009) http://dx.doi.org/10.1007/s11071-008-9386-7[Crossref]
  • [19] A. K. Alomari, M. S. M. Noorani, R. Nazar, Acta. Appl. Math. 108, 395 (2009) http://dx.doi.org/10.1007/s10440-008-9318-z[Crossref]
  • [20] Y. M. Chen, J. K. Liu, Acta Mech. Sin. 25, 707 (2009) http://dx.doi.org/10.1007/s10409-009-0256-4[Crossref]
  • [21] S. J. Liao, Ph.D. thesis, Shanghai Jiao Tong University (Shanghai, Chine,1992)
  • [22] H. Jafari, K. Sayevand, H. Tajadodi, D. Baleanu, Cent. Eur. J. Phys. 11(10), 1523 (2013) http://dx.doi.org/10.2478/s11534-013-0209-1[Crossref]
  • [23] S. J. Liao, Int. J. Non-linear Mech. 32, 815 (1997) http://dx.doi.org/10.1016/S0020-7462(96)00101-1[Crossref]
  • [24] S. J. Liao, Eng. Anal. Bound. Elem. 20, 91 (1997) http://dx.doi.org/10.1016/S0955-7997(97)00043-X[Crossref]
  • [25] S. J. Liao, Shanghai J. Mech. 18, 196 (1997)
  • [26] S. J. Liao, Int. J. Non-linear Dyn. 19, 93 (1999) http://dx.doi.org/10.1023/A:1008373627897[Crossref]
  • [27] M. Yamashita, K. Yabushita, K. Tsuboi, J. Phys. A 40, 8403 (2007) http://dx.doi.org/10.1088/1751-8113/40/29/015[Crossref]
  • [28] Y. Bouremel, Commun. Nonlinear. Sci. Numer. Simulat. 12, 714 (2007) http://dx.doi.org/10.1016/j.cnsns.2005.07.001[Crossref]
  • [29] L. Tao, H. Song, S. Chakrabarti, Clastal. Eng. 54, 825 (2007) http://dx.doi.org/10.1016/j.coastaleng.2007.05.008[Crossref]
  • [30] H. Song, L. Tao, J. Coast. Res. 50, 292 (2007)
  • [31] M. Sajid, T. Hayat, S. Asghar, Nonlinear Dyn. 50, 27 (2007) http://dx.doi.org/10.1007/s11071-006-9140-y[Crossref]
  • [32] I. Hashim, M. Chowdhury, Phys. Lett. A 372, 470 (2008) http://dx.doi.org/10.1016/j.physleta.2007.07.067[Crossref]
  • [33] K. A. A. Zahra, M. A. A.l Hussain, Int. Math. Forum. 6, 2349 (2011)
  • [34] A. Wazwaz, Appl. Math. Lett. 19, 1162 (2006) http://dx.doi.org/10.1016/j.aml.2005.07.014[Crossref]
  • [35] Y. Cherruault, Kybernetes 18, 31 (1989) http://dx.doi.org/10.1108/eb005812[Crossref]
  • [36] P. Sauceza, A. VandeWouwer, P. A. Zegelingc, J. Comput. Appl. Math. 183, 343 (2005) http://dx.doi.org/10.1016/j.cam.2004.12.028[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-014-0475-6
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