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Year 2019, Volume: 2 Issue: 1, 55 - 57, 30.10.2019

Faruk Düşünceli

Abstract

References

  • [1] Y. Zhang, H. Dong, X. Zhang, and H. Yang, “Rational solutions and lump solutions to the generalized (3+1)-dimensional Shallow Water-like equation,” Computers & Mathematics with Applications, vol. 73, no. 2, pp. 246–252, 2017.
  • [2] Y.-N. Tang, W.-X. Ma, and W. Xu, “Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation,” Chinese Physics B, vol. 21, no. 7, 2012.
  • [3] B. Tian and Y.-T. Gao, “Beyond travelling waves: A new algorithmfor solving nonlinear evolution equations,” Computer Physics Communications, vol. 95, no. 2-3, pp. 139–142, 1996.
  • [4] E. Zayed, “travelling wave solutions for higher dimensional nonlinear evaluation equations using G’/G expansion method,” Journal of Applied Mathematics & Informatics, vol. 28, no. 1, 2, pp. 383–395, 2010.
  • [5] R. Sadat, M. Kassem, and Wen-Xiu Ma, “Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model,” Advances in Mathematical Physics, vol. 2018, Article ID 9178480, 8 pages, 2018.
  • [6] Haci Mehmet Baskonus, Hasan Bulut and Dilara Gizem Emir, Regarding New Complex Analytical Solutions for the Nonlinear Partial Vakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method, Mathematics Letters, 1(1), 1-9, 2015.
  • [7] B. Zheng, Application of A generalized Bernoulli Sub-ODE Method for finding traveling Solutions of Some Nonlinear Equations, WSEAS Transactions on Mathematics, 7(11),618-626,2012.

Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation

Year 2019, Volume: 2 Issue: 1, 55 - 57, 30.10.2019

Faruk Düşünceli

Abstract

In this paper, we demonstrate the exact solutions of the generalized (3+1)-dimensional shallow water-like (SWL) equation by using Bernoulli sub-equation function method. Some new solutions are successfully constructed. We carried out all the computations by Wolfram Mathematica.

Keywords

Generalized (3+1) shallow water-like (SWL) equation Bernoulli sub-equation function method

References

  • [1] Y. Zhang, H. Dong, X. Zhang, and H. Yang, “Rational solutions and lump solutions to the generalized (3+1)-dimensional Shallow Water-like equation,” Computers & Mathematics with Applications, vol. 73, no. 2, pp. 246–252, 2017.
  • [2] Y.-N. Tang, W.-X. Ma, and W. Xu, “Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation,” Chinese Physics B, vol. 21, no. 7, 2012.
  • [3] B. Tian and Y.-T. Gao, “Beyond travelling waves: A new algorithmfor solving nonlinear evolution equations,” Computer Physics Communications, vol. 95, no. 2-3, pp. 139–142, 1996.
  • [4] E. Zayed, “travelling wave solutions for higher dimensional nonlinear evaluation equations using G’/G expansion method,” Journal of Applied Mathematics & Informatics, vol. 28, no. 1, 2, pp. 383–395, 2010.
  • [5] R. Sadat, M. Kassem, and Wen-Xiu Ma, “Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model,” Advances in Mathematical Physics, vol. 2018, Article ID 9178480, 8 pages, 2018.
  • [6] Haci Mehmet Baskonus, Hasan Bulut and Dilara Gizem Emir, Regarding New Complex Analytical Solutions for the Nonlinear Partial Vakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method, Mathematics Letters, 1(1), 1-9, 2015.
  • [7] B. Zheng, Application of A generalized Bernoulli Sub-ODE Method for finding traveling Solutions of Some Nonlinear Equations, WSEAS Transactions on Mathematics, 7(11),618-626,2012.
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Faruk Düşünceli 0000-0002-2368-7963

Acceptance Date October 1, 2019
Publication Date October 30, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Düşünceli, F. (2019). Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology, 2(1), 55-57.
AMA Düşünceli F. Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology. October 2019;2(1):55-57.
Chicago Düşünceli, Faruk. “Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation”. Conference Proceedings of Science and Technology 2, no. 1 (October 2019): 55-57.
EndNote Düşünceli F (October 1, 2019) Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology 2 1 55–57.
IEEE F. Düşünceli, “Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation”, Conference Proceedings of Science and Technology, vol. 2, no. 1, pp. 55–57, 2019.
ISNAD Düşünceli, Faruk. “Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation”. Conference Proceedings of Science and Technology 2/1 (October2019), 55-57.
JAMA Düşünceli F. Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology. 2019;2:55–57.
MLA Düşünceli, Faruk. “Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation”. Conference Proceedings of Science and Technology, vol. 2, no. 1, 2019, pp. 55-57.
Vancouver Düşünceli F. Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology. 2019;2(1):55-7.