SavedAdd your journal

Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 3

New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science

Muzaffer ASKİN
Tukur Abdulkadir b SULAİMAN
Serbay DURAN
Pages
240–247
Publication Date
2022-10-12
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

We alsoplot the 3D and 2D of each solution obtained in this study by using the sameprogram in the Wolfram Mathematica 9.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In manuscript, with the help of the Wolfram Mathematica 9, we employ themodified exponential function method in obtaining some new soliton solutions tothe ill-posed Boussinesq equation arising in nonlinear media.
📊
Key Findings & Data:Results obtainedwith use of technique, and also, surfaces for soliton solutions are given.
💡
Conclusion & Impact:We alsoplot the 3D and 2D of each solution obtained in this study by using the sameprogram in the Wolfram Mathematica 9.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In manuscript, with the help of the Wolfram Mathematica 9, we employ themodified exponential function method in obtaining some new soliton solutions tothe ill-posed Boussinesq equation arising in nonlinear media. Results obtainedwith use of technique, and also, surfaces for soliton solutions are given. We alsoplot the 3D and 2D of each solution obtained in this study by using the sameprogram in the Wolfram Mathematica 9.

🔖

Cite This Article

ASKİN, M., SULAİMAN, T. A. B., DURAN, S. (2022). New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 3, 240–247. https://ajindex.com/articles/440684

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Akbar, M.A., Ali, N.H.M. and Zayed, E.M.E. (2014). Generalized and Improved G G  /  - Expansion Method Combined with Jacobi Elliptic Equation, Communications in Theoretical Physics, 61(6), 669
  2. Parkes, E.J., Duy, B.R. and Abbott, P.C. (2002). The Jacobi Elliptic-Function Method for Finding Periodic-Wave Solutions to Nonlinear Evolution Equations, Physics Letters A, 295, 280-286
  3. Taghizadeh, N., Mirzazadeh M., Paghaleh, A.S. andVahidi, J. (2012). Exact Solutions of Nonlinear Evolution Equations by Using the Modified Simple Equation Method, Ain Shams Engineering Journal, 3 321-325
  4. Khan,K.,Akbar, M.A. and Ali, N.H.M. (2013). The Modified Simple Equation Method for Exact and Solitary Wave Solutions of Nonlinear Evolution Equation: The GZK-BBM Equation and RightHanded Noncommutative Burgers Equations, Physics Letters A, 2013, 146704
  5. Baskonus, H.M.,Sulaiman, T.A. and Bulut, H. (2017). On the Novel Wave Behaviors to the Coupled Nonlinear Maccari's System with Complex Structure, Optik, 131, 1036-1043
  6. Bulut, H., Sulaiman, T.A. and Baskonus, H.M. (2016). New Solitary and Optical Wave Structures to the Korteweg-de Vries Equation with DualPower Law Nonlinearity, Opt. Quant. Electron, 48(564), 1-14
  7. Bulut, H.,Sulaiman, T.A., Baskonus, H.M. and Sandulyak, A.A. (2017). New Solitary and Optical Wave Structures to the (1+1)-Dimensional Combined KdV-mKdV Equation, Optik, 135, 327- 336
  8. Panahipour,H. (2012). Application of Extended Tanh Method to Generalized Burgers-type Equations, Communications in Numerical Analysis, doi:10.5899/2012/cna-00058
  9. Baskonus, H.M. and Bulut, H. (2016). Exponential Prototype Structure for (2+1)-Dimensional BoitiLeon-Pempinelli systems in Mathematical Physics, Waves in Random and Complex Media, 26(2), 189- 196
  10. Alquran, M., Al-Khaled, K. and Ananbeh, H. (2011). New Soliton Solutions for Systems of Nonlinear Evolution Equations by the Rational Sine-Cosine Method, Studies in Mathematical Sciences, 3(1), 1-9
  11. Tchier, F., Yusuf, A., Aliyu, A.I. and Inc, M. (2017). Soliton Solutions and Conservation Laws for Lossy Nonlinear Transmission Line Equation, Superlattices and Microstructures, doi.org/10.1016/j.spmi.2017.04.003
  12. Hemeda, A.A. (2012). Homotopy Perturbation Method for Solving Systems of Nonlinear Coupled Equations, Applied Mathematical Sciences, 6(96), 4787-4800
  13. Gao, B. and Tian, H. (2015). Symmetry Reductions and Exact Solutions to the ill-Posed Boussinesq, International Journal of