Lie Symmetry Analysis, Exact Solutions and Conservation Laws for the Time Fractional Caudrey-Dodd Equation
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 1%
Influence
Top 10%
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Top 1%
Abstract
In this work, we investigate the Lie symmetry analysis, exact solutions and conservation laws (Cls) to the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGDK) equation with Riemann-Liouville (RL) derivative. The time fractional CDGDK is reduced to nonlinear ordinary differential equation (ODE) of fractional order. New exact traveling wave solutions for the time fractional CDGDK are obtained by fractional sub-equation method. In the reduced equation, the derivative is in Erdelyi-Kober (EK) sense. Ibragimov's nonlocal conservation method is applied to construct Cls for time fractional CDGDK. (C) 2017 Elsevier B.V. All rights reserved.
Description
Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943
Keywords
Time Fractional Cdgdk, Lie Symmetry, Rl Fractional Derivative, Exact Solutions, Cls, Lie symmetry, KdV equations (Korteweg-de Vries equations), RL fractional derivative, Cls, time fractional CDGDK, exact solutions, Fractional partial differential equations, Geometric theory, characteristics, transformations in context of PDEs
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Baleanu, Dumitru...et al. (2018). "Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation", Communications In Nonlinear Science and Numerical Simulation, Vol. 59, pp. 222-234.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
100
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
59
Issue
Start Page
222
End Page
234
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Citations
CrossRef : 32
Scopus : 106
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