Conference Paper

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

Volume: 2 Number: 1 October 30, 2019
EN

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

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

References

  1. [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. [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. [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. [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. [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. [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. [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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

October 30, 2019

Submission Date

July 14, 2019

Acceptance Date

October 1, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

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. https://izlik.org/JA32BW23EP
AMA
1.Düşünceli F. Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology. 2019;2(1):55-57. https://izlik.org/JA32BW23EP
Chicago
Düşünceli, Faruk. 2019. “Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation”. Conference Proceedings of Science and Technology 2 (1): 55-57. https://izlik.org/JA32BW23EP.
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
[1]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, Oct. 2019, [Online]. Available: https://izlik.org/JA32BW23EP
ISNAD
Düşünceli, Faruk. “Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation”. Conference Proceedings of Science and Technology 2/1 (October 1, 2019): 55-57. https://izlik.org/JA32BW23EP.
JAMA
1.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, Oct. 2019, pp. 55-57, https://izlik.org/JA32BW23EP.
Vancouver
1.Faruk Düşünceli. Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology [Internet]. 2019 Oct. 1;2(1):55-7. Available from: https://izlik.org/JA32BW23EP