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(3 + 1) boyutlu B tipi Kadomtsev-Petviashvili denklemi için geliştirilmiş Bernoulli alt denklem fonksiyon yöntemi ile elde edilmiştam çözümler

Year 2019, , 463 - 468, 24.03.2019
https://doi.org/10.18185/erzifbed.493777

Abstract

Bu çalışmada  (3 + 1) boyutlu B tipi Kadomtsev-Petviashvili
denkleminin tam çözümleri için geliştirilmiş Bernoulli alt denklem fonksiyon
yöntemini kullandık. Bazı yeni çözümler elde ettik. Bütün hesaplamaları ve
grafik çizimlerini Wolfram Mathematica programı yardımıyla yaptık.

References

  • Abudiab, M. Khalique C.M. 2013. “Exact solutions and conservation laws of a ( 3 + 1 ) -dimensional B-type Kadomtsev-Petviashvili equation”, Advances in Difference Equations, 2013,1,1.
  • Baskonus, H.M. and Bulut H. 2015. “On the Complex Structures of Kundu-Eckhaus Equation via Improved Bernoulli Sub-Equation Function Method”, Waves in Random and Complex Media, 25,4, 720-728.
  • Baskonus, H.M. and Bulut,H. 2015. “An Effective Scheme for Solving Some Nonlinear Partial Differential Equation Arising In Nonlinear Physics”, Open Physics, 13,1, 280–289.
  • Baskonus, H.M., Sulaiman, T.A. and Bulut, H. 2017. “New Solitary Wave Solutions to the (2+1)-Dimensional Calogero-Bogoyavlenskii-Schi and the Kadomtsev-Petviashvili Hierarchy Equations”, Indian Journal of Physics,91,10,1237-1243.
  • Bulut, H., Yel, G. and Baskonus, H.M. 2016. An Application Of Improved Bernoulli Sub-Equation Function Method To The Nonlinear Time-Fractional Burgers Equation, Turkish Journal of Mathematics and Computer Science, 5, 1-17.
  • Dusunceli, F.2018. “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method” MSU Journal Of Science. 6,1,505-510.
  • Ma, W.X., Abdeljabbar, A., Asaad, M.G. 2011. “Wronskian and Grammian solutions to a (3 + 1)-dimensional generalized KP equation”, Applied Mathematics and Computation, 217, 10016-10023.
  • Shen, H.F., Tu, M.H. 2011. “On the constrained B-type Kadomtsev-Petviashvili equation: Hirota bilinear equations and Virasoro symmetry”, Journal of Mathematical Physics, 52, 032704.
  • Wazwaz, A. 2011. “Distinct kinds of multiple-soliton solutions for a (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation”, Physica Scripta, 84, 055006.
  • Wazwaz, A.2012. “Two forms of (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation: multiple-soliton solutions”, Physica Scripta, 86, 035007.

New Exact Solutions for the (3 + 1) Dimensional B-type Kadomtsev-Petviashvili Equation

Year 2019, , 463 - 468, 24.03.2019
https://doi.org/10.18185/erzifbed.493777

Abstract

In this study, we use the
improved Bernoulli sub-equation function method for exact solutions to the (3 +
1) dimensional B type Kadomtsev-Petviashvili equation. Some new solutions are
successfully constructed. We carried out all the computations and the graphics
plot in this paper by Wolfram Mathematica.

References

  • Abudiab, M. Khalique C.M. 2013. “Exact solutions and conservation laws of a ( 3 + 1 ) -dimensional B-type Kadomtsev-Petviashvili equation”, Advances in Difference Equations, 2013,1,1.
  • Baskonus, H.M. and Bulut H. 2015. “On the Complex Structures of Kundu-Eckhaus Equation via Improved Bernoulli Sub-Equation Function Method”, Waves in Random and Complex Media, 25,4, 720-728.
  • Baskonus, H.M. and Bulut,H. 2015. “An Effective Scheme for Solving Some Nonlinear Partial Differential Equation Arising In Nonlinear Physics”, Open Physics, 13,1, 280–289.
  • Baskonus, H.M., Sulaiman, T.A. and Bulut, H. 2017. “New Solitary Wave Solutions to the (2+1)-Dimensional Calogero-Bogoyavlenskii-Schi and the Kadomtsev-Petviashvili Hierarchy Equations”, Indian Journal of Physics,91,10,1237-1243.
  • Bulut, H., Yel, G. and Baskonus, H.M. 2016. An Application Of Improved Bernoulli Sub-Equation Function Method To The Nonlinear Time-Fractional Burgers Equation, Turkish Journal of Mathematics and Computer Science, 5, 1-17.
  • Dusunceli, F.2018. “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method” MSU Journal Of Science. 6,1,505-510.
  • Ma, W.X., Abdeljabbar, A., Asaad, M.G. 2011. “Wronskian and Grammian solutions to a (3 + 1)-dimensional generalized KP equation”, Applied Mathematics and Computation, 217, 10016-10023.
  • Shen, H.F., Tu, M.H. 2011. “On the constrained B-type Kadomtsev-Petviashvili equation: Hirota bilinear equations and Virasoro symmetry”, Journal of Mathematical Physics, 52, 032704.
  • Wazwaz, A. 2011. “Distinct kinds of multiple-soliton solutions for a (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation”, Physica Scripta, 84, 055006.
  • Wazwaz, A.2012. “Two forms of (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation: multiple-soliton solutions”, Physica Scripta, 86, 035007.
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Makaleler
Authors

Faruk Düşünceli

Publication Date March 24, 2019
Published in Issue Year 2019

Cite

APA Düşünceli, F. (2019). New Exact Solutions for the (3 + 1) Dimensional B-type Kadomtsev-Petviashvili Equation. Erzincan University Journal of Science and Technology, 12(1), 463-468. https://doi.org/10.18185/erzifbed.493777