Journal ArticleDOI
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative
Behzad Ghanbari,Behzad Ghanbari +1 more
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This article is published in Mathematical Methods in The Applied Sciences.The article was published on 2021-07-30. It has received 104 citations till now. The article focuses on the topics: Fractional calculus & Nonlinear Schrödinger equation.read more
Citations
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The Lie symmetry analysis and exact Jacobi elliptic solutions for the Kawahara–KdV type equations
TL;DR: In this paper, a Lie symmetry method and the Jacobi elliptical solutions finder method were employed to obtain exact solitary wave solutions in various forms of (1+1)-dimensional Kawahara-KdV type equation and modified KawahARA-KDV type equations.
Journal ArticleDOI
New kinds of analytical solitary wave solutions for ionic currents on microtubules equation via two different techniques
TL;DR: In this article, the ionic currents along the microtubules equation handled by applying two different techniques are investigated. But the results demonstrate that the proposed methods are significantly powerful, evangelist, relaxing, suitable, and convenient for solving many nonlinear models.
Journal ArticleDOI
Application of Neural Network and Time-Domain Feature Extraction Techniques for Determining Volumetric Percentages and the Type of Two Phase Flow Regimes Independent of Scale Layer Thickness
Abdullah K. Alanazi,S.M. Alizadeh,K S Nurgalieva,Slavko Nesic,John William Grimaldo Guerrero,Hala M. Abo-Dief,Ehsan Eftekhari-Zadeh,Ehsan Nazemi,I. M. Narozhnyy +8 more
TL;DR: In this article , a dual-energy gamma source and two sodium iodide detectors were used with the help of artificial intelligence to determine the flow pattern and volume percentage in a two-phase flow by considering the thickness of the scale in the tested pipeline.
Journal ArticleDOI
The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation
H. Yépez-Martínez,Arash Pashrashid,José Francisco Gómez-Aguilar,Lanre Akinyemi,Hadi Rezazadeh +4 more
TL;DR: In this article , a sub-equation method is implemented to construct exact solutions for the conformable perturbed nonlinear Schrödinger equation, and the order of the expected polynomial-type solution is obtained using the homogeneous balancing approach.
Journal ArticleDOI
Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrödinger equation
F. Samsami Khodadad,Seyed Mehdi Mirhosseini-Alizamini,B. Günay,Lanre Akinyemi,Hadi Rezazadeh +4 more
TL;DR: In this article, a diverse collection of exact solutions to a high-order nonlinear Schrodinger equation, called the Sasa-Satsuma equation, were investigated using the generalized exponential rational function method.
References
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Journal ArticleDOI
The first integral method for Wu---Zhang system with conformable time-fractional derivative
Mostafa Eslami,Hadi Rezazadeh +1 more
TL;DR: In this article, the first integral method was used to construct exact solutions of the Wu-Zhang system, which is based on the ring theory of commutative algebra, and the results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equations.
Journal ArticleDOI
Fractional differentiability of nowhere differentiable functions and dimensions
TL;DR: Weierstrass's everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the critical order 2−s and not so for orders between 2 −s and 1, where s, 1
Book
Local Fractional Integral Transforms and Their Applications
TL;DR: Local fractional integral transforms and their applications as mentioned in this paper have been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors.
Journal ArticleDOI
Fractal heat conduction problem solved by local fractional variation iteration method
Xiao-Jun Yang,Dumitru Baleanu +1 more
TL;DR: In this article, a local fractional variational iteration method for processing the local heat conduction equation arising in fractal heat transfer is presented. But the method is not suitable for the case of large-scale heat transfer.
Journal ArticleDOI
Fractional differentiability of nowhere differentiable functions and dimensions
TL;DR: It is argued that Local fractional derivatives provide a powerful tool to analyze pointwise behavior of irregular signals to show a direct connection between local fractional differentiability and the box dimension/local Holder exponent.
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On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique
Behzad Ghanbari,Behzad Ghanbari +1 more