Journals / Conference Proceedings of Science and Technology / 2019 / Cilt: 2 Sayı: 1

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

Pages
55–57
Publication Date
2019-10-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We carried out all the computations by Wolfram Mathematica.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:Some new solutions are successfully constructed.
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Conclusion & Impact:We carried out all the computations by Wolfram Mathematica.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized (3+1) shallow water-like (SWL) equation · Bernoulli sub-equation function method

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.

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Cite This Article

DÜŞÜNCELİ, F. (2019). Exact Solutions for Generalized (3+1)-Dimensional Shallow Water-Like (SWL) Equation. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 55–57. https://ajindex.com/articles/984395

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References (7)

  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.