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Number of results

Journal

2015 | 13 | 1 |

Article title

An Effective Schema for Solving Some Nonlinear Partial
Differential Equation Arising In Nonlinear Physics

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this paper, a new computational algorithm
called the "Improved Bernoulli sub-equation function
method" has been proposed. This algorithm is based on
the Bernoulli Sub-ODE method. Firstly, the nonlinear evaluation
equations used for representing various physical
phenomena are converted into ordinary differential equations
by using various wave transformations. In this way,
nonlinearity is preserved and represent nonlinear physical
problems. The nonlinearity of physical problems together
with the derivations is seen as the secret key to solve the
general structure of problems. The proposed analytical schema, which is newly submitted
to the literature, has been expressed comprehensively
in this paper. The analytical solutions, application results,
and comparisons are presented by plotting the two
and three dimensional surfaces of analytical solutions obtained
by using the methods proposed for some important
nonlinear physical problems. Finally, a conclusion
has been presented by mentioning the important discoveries
in this study.

Publisher

Journal

Year

Volume

13

Issue

1

Physical description

Dates

accepted
12 - 8 - 2015
received
25 - 5 - 2015
online
8 - 10 - 2015

Contributors

  • Department of
    Computer Engineering, Tunceli University, Tunceli, Turkey
author
  • Department of Mathematics, University of Firat,
    Elazig, Turkey

References

  • [1] A. Bekir, Phys. Let. A. 372, 3400 (2008)
  • [2] A. Bekir, A. Boz, Phys. Let. A. 372, 1619 (2008)
  • [3] A. Bekir, A. Boz, Int. J. N. Sci. and Num. Sim. 8, 505 (2011)
  • [4] B. Zheng, U.P.B. Sci. Bull. Series A 73, 85 (2011)
  • [5] X.F. Yang, Z.C. Deng, Y. Wei, Adv. Dif. Equation 117, 1 (2015)
  • [6] A. Salam, S. Uddin, P. Dey, Ann. Pure Appl. Math. 10, 1 (2015)
  • [7] L. Xiusen, Z. Bin, Int. J. Eng. Sci. 4, 83 (2014)
  • [8] A. Atangana, A.H. Cloot, Adv. Dif. Equation 2013, 1 (2013)
  • [9] K. Khan, M.A. Akbar, S.M.R. Islam, Springer Plus 3, 19 (2014)
  • [10] A. S. Alofi, Int. Math. Forum 7, 2639 (2012)
  • [11] K. Khan, M.A. Akbar, JAAUBAS 15, 74 (2014)
  • [12] H. Sunagawa, J. Math. Soc. Japan 58, 379 (2006)
  • [13] B. Zheng, WSEAS Trans. Math. 7, 618 (2012)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_1515_phys-2015-0035
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