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Journals / Konuralp Journal of Mathematics / 2023 / Cilt: 11 Sayı: 2

Finding Powerful Solutions for the Generalized Hyperelastic-Rod Wave Equation

Şeyma TÜLÜCE DEMİRAY
Uğur BAYRAKCI
Pages
195–205
Publication Date
2023-10-31
DOI
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AI Summary & Key Takeaways

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

Also, in Wolfram Mathematica 12, both 2D and 3D shapes of these built-in results have been plotted.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the generalized hyperelastic rod wave equation has been studied.
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Key Findings & Data:The generalized exponential rational function method (GERFM) has been applied to the generalized hyperelastic rod wave equation.
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Conclusion & Impact:Also, in Wolfram Mathematica 12, both 2D and 3D shapes of these built-in results have been plotted.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:GERFM · Generalized hyperelastic-rod wave equation · soliton solutions.

Abstract

In this paper, the generalized hyperelastic rod wave equation has been studied. The generalized exponential rational function method (GERFM) has been applied to the generalized hyperelastic rod wave equation. Thus, some new and abundant soliton solutions of the generalized hyperelastic rod wave equation have been obtained. Also, in Wolfram Mathematica 12, both 2D and 3D shapes of these built-in results have been plotted.

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Cite This Article

DEMİRAY, Ş. T., BAYRAKCI, U. (2023). Finding Powerful Solutions for the Generalized Hyperelastic-Rod Wave Equation. Konuralp Journal of Mathematics, Cilt: 11 Sayı: 2, 195–205. https://ajindex.com/articles/1015618

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References (13)

  1. M.M.A. Khater and A.M. Alabdali, Multiple Novels and Accurate TravelingWave and NumericalSolutions of the (2+1) Dimensional Fisher-Kolmogorov- Petrovskii-Piskunov Equation, Mathematics, 9(12) (2021), 1-13
  2. F. Dusunceli, E. Celik, M. Askin and H. Bulut, New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method, Indian Journal of Physics, 95(2) (2021), 309-314
  3. G. Bakıcıerler, S. Alfaqeih and E. Mısırlı, Analytic solutions of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation, Physica A: Statistical Mechanics and its Applications, 582 (2021), 126255
  4. S. Malik, S. Kumar, K.S. Nisar and C.A. Saleel, Different analytical approaches for finding novel optical solitons withgeneralized third-order nonlinear Schr¨odinger equation, Results in Physics, 29 (2021), 104755
  5. T. Akt¨urk, Y. Gurefe and Y. Pandir, An application of the new function method to the Zhiber–Shabat equation, An International Journal of Optimization and Control: Theories Applications (IJOCTA), 7(3) (2017), 271–274
  6. A. Akbulut, M. Kaplan and F. Tascan, The investigation of exact solutions of nonlinear partial differential equations by using exp (􀀀f(x )) method, Optik, 132 (2017), 382–387
  7. M. U¨ nal and M. Ekici, The Double (G0=G;1=G)-Expansion Method and Its Applications for Some Nonlinear Partial Differential Equations, Journal of the Institute of Science and Technology, 11(1) (2021), 599-608
  8. R.I. Nuruddeen, K. S. Aboodh and K. K. Ali, Analytical Investigation of Soliton Solutions to Three Quantum Zakharov-Kuznetsov Equations, Communications in Theoretical Physics, 70(4) (2018), 405-412
  9. M. Tahir and A. U. Awan, Optical singular and dark solitons with Biswas–Arshed model by modified simple equation method, Optik, 202 (2020), 163523
  10. O. Tasbozan, Y. C¸ enesiz and A. Kurt, New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method, The European Physical Journal Plus, 131 (2016), 244
  11. H.F. Ismael, H. Bulut and H.M. Baskonus, W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws, Soft Computing, 25 (2021), 4513–4524
  12. H.F. Ismael, M.A.S Murad and H. Bulut, Various exact wave solutions for KdV equation with time-variable coefficients, Journal of Ocean Engineering and Science, 7(5) (2022), 409–418
  13. H.F. Ismael and H. Bulut, On the Wave Solutions of (2+1)-Dimensional Time-Fract