A Boiti-Leon Pimpinelli equations with time-conformable derivative

Kamal Ait Touchent; Zakia Hammouch; Toufik Mekkaoui; Canan Unlu

doi:10.11121/ijocta.01.2019.00766

Authors

Kamal Ait Touchent E3MI, Faculty of Sciences and Techniques Errachidia, University Moulay Ismail, Meknes 50050, Morocco http://orcid.org/0000-0003-1281-9219
Zakia Hammouch Université Moulay Ismail Faculté des Sciences et Techniques http://orcid.org/0000-0001-7349-6922
Toufik Mekkaoui E3MI, Faculty of Sciences and Techniques Errachidia, University Moulay Ismail, Meknes 50050, Morocco http://orcid.org/0000-0001-7390-5570
Canan Unlu İstanbul University, Department of Mathematics http://orcid.org/0000-0003-1274-6830

DOI:

https://doi.org/10.11121/ijocta.01.2019.00766

Keywords:

Sinh-Gordon expansion method, $(2 1)$-dimensional fractional Boiti-Leon Pempinelli system, fractional conformable derivative.

Abstract

In this paper, we derive some new soliton solutions to $(2+1)$-Boiti-Leon Pempinelli 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. This powerful and simple technique can be used to investigate solutions of other nonlinear partial differential equations.

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Author Biographies

Zakia Hammouch, Université Moulay Ismail Faculté des Sciences et Techniques

Zakia Hammouch received her M.S. in Applied Mathematics and a Ph.D. degree in Applied Mathematics and Mechanical Engineering from University of Picardie Jules Verne France. She received habilitation degree from Moulay Ismail University, Morocco in 2015. She is currently Associate Professor at Faculty of Sciences and Techniques University of Moulay Ismail, Morocco. Prof Zakia Hammouch has published over 60 journal papers and chapters in reputed journals and books. She is an editorial member of more than 10 international journals, a reviewer of 35 international journals of mathematics and mechanical engineering and a member of scientific committee of more than 20 international conferences. Her research interests include Computational mathematics, biomathematics, nonlinear dynamics, fractional calculus, chaos theory, control and synchronization, fluid dynamics, heat and mass transfer, soliton theory.

Toufik Mekkaoui, E3MI, Faculty of Sciences and Techniques Errachidia, University Moulay Ismail, Meknes 50050, Morocco

Toufik Mekkaoui received his M.S. in Mathematics and Ph.D. degrees in Numerical Analysis from Orsay University Paris 11 France. He received habilitation degree from Moulay Ismail University, Morocco in 2008. He is currently Full Professor at Faculty of Sciences and Techniques University of Moulay Ismail, Morocco. His research interests include Computational mathematics, Homogenization, Partial Differential Equations, Numerical Analysis.

Canan Unlu, İstanbul University, Department of Mathematics

Canan Unlu received her M.S. in Mathematical Analysis from the Department of Mathematics of Ataturk University, and the PhD degree in Applied mathematics from Istanbul University Istanbul, Turkey. Her research fields are Decomposition methods, traveling waves, and biomathematics.

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