(3 + 1) boyutlu B tipi Kadomtsev-Petviashvili denklemi için geliştirilmiş Bernoulli alt denklem fonksiyon yöntemi ile elde edilmiştam çözümler
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.
Keywords
Kadomtsev-Petviashvili denklemi Geliştirilmiş Bernoulli alt denklem fonksiyon yöntemi Tam çözüm
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.
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.
Keywords
Kadomtsev-Petviashvili equation Improved Bernoulli sub-equation function method Exact solution
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.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Makaleler |
| Authors | |
| Publication Date | March 24, 2019 |
| Published in Issue | Year 2019 Volume: 12 Issue: 1 |