Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2019 / Cilt: 9 - Sayı: 3

A Boiti-Leon Pimpinelli equations with time-conformable derivative

Pages
95–101
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

Thispowerful and simple technique can be used to investigate solutions of othernonlinear partial differential equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we derive some new soliton solutions to (2 + 1)-Boiti-LeonPempinelli equations with conformable derivative by using an expansion technique based on the Sinh-Gordon equation.
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Key Findings & Data:The obtained solutions have different expression such as trigonometric, complex and hyperbolic functions.
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Conclusion & Impact:Thispowerful and simple technique can be used to investigate solutions of othernonlinear partial differential equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we derive some new soliton solutions to (2 + 1)-Boiti-LeonPempinelli equations with conformable derivative by using an expansion technique based on the Sinh-Gordon equation. The obtained solutions have different expression such as trigonometric, complex and hyperbolic functions. Thispowerful and simple technique can be used to investigate solutions of othernonlinear partial differential equations.

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Cite This Article

TOUCHENT, K. A., HAMMOUCH, Z., MEKKAOUI, T., UNLU, C. (2022). A Boiti-Leon Pimpinelli equations with time-conformable derivative. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 9 - Sayı: 3, 95–101. https://ajindex.com/articles/440608

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References (1)

  1. 1] Singh, J., Kumar, D. & Kılıcman, A. (2013). Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform. Abstract and Applied Analysis. Vol.2013. [2] Ait Touchent, K. & Belgacem, F. (2015). Nonlinear fractional partial differential equations systems solutions through a hybrid homotopy perturbation Sumudu transform method. Nonlinear Studies, 22, 591-600. [3] Dinkar, S., Singh, P. & Chauhan S. (2016). Homotopy Perturbation Sumudu Transform Method with He’s Polynomial for Solutions of Some Fractional Nonlinear Partial Differential Equations. International Journal of Nonlinear Science, 21, 91-97. [4] Youssif, E., & Hamed, S. (2014). Solution of nonlinear fractional differential equations using the homotopy perturbation Sutransform method. Applied Mathematical Sciences, 8, 2195-2210. [5] Buckwar, E. & Luchko, Y. (1988). Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. J. Math. Anal.Appl., 227, 81-97. [6] Hammouch, Z., Mekkaoui, T. & Agarwal, P. (2018). Optical solitons for the CalogeroBogoyavlenskii-Schiff equation in (2+1) dimensions with time-fractional conformable derivative. European Physical Journal Plus, 133:248. [7] Manaf an, J. & Foroutan, M. (2016). Application of tan (φ(ξ)/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity. Optik-International Journal for Light and Electron Optics, 127, 2040-2054. [8] Hammouch, Z. & Mekkaoui, T. (2012). Travelling-wave solutions for some fractional partial differential equation by means of generalized trigonometry functions. International Journal of Applied Mathematical Research, 1, 206-212. [9] Rezazadeh, H., Korkmaz, A., Eslami, M., Vahidi, J., & Asghari, R. (2018). Traveling wave solution of conformable fractional generalized reaction Duffing model by generalized projective Riccati equation method. Optical and Quantum Electronics, 50(3), 150. [10] Tasbozan, O., Cenesiz, Y., & Kurt, A. (2016). New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method. The European Physical Journal Plus, 131(7), 244. [11] Zhu, J. & Ma, Z. (2005). An extended Jacobian elliptic function method for the discrete mKdV lattice. Chinese Physics, 14, 17. [12] Hammouch, Z. & Mekkaoui, T. (2013). Approximate analytical and numerical solutions to fractional KPP-like equations. General Mathematics Notes, 14(2), 1-9. [13] Hammouch, Z. & Mekkaou