Novel Hyperbolic and Exponential Ansatz Methods To the Fractional Fifth-Order Korteweg-De Vries Equations
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%
Abstract
This paper aims to investigate the class of fifth-order Korteweg-de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractional order derivative defined in the conformable fractional derivative sense. We realize various solitons and solutions of these equations. The fractional behavior of the solutions is studied comprehensively by using 2D and 3D graphs. The results demonstrate that the methods mentioned here are more effective in solving problems in mathematical physics and other branches of science.
Description
Nuruddeen, Rahmatullah Ibrahim/0000-0002-5321-1958; Osman, M. S./0000-0002-5783-0940; Muhammad, Lawal/0009-0005-1623-7488
Keywords
Fractional Derivative, Fifth-Order Kdv Equations, Hyperbolic Wave Solutions, Exponential Wave Solutions, Solitary Wave Solutions, Financial economics, Artificial intelligence, Class (philosophy), Economics, Conformable matrix, Periodic Wave Solutions, Mathematical analysis, Quantum mechanics, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Order (exchange), Korteweg–de Vries equation, Physics, Exponential function, Fractional calculus, Fifth-order KdV equations, Statistical and Nonlinear Physics, Partial differential equation, Fractional derivative, Ansatz, Applied mathematics, Computer science, Hyperbolic function, Exponential wave solutions, Hyperbolic wave solutions, Physics and Astronomy, Modeling and Simulation, Derivative (finance), Mathematical physics, Physical Sciences, Hyperbolic partial differential equation, Nonlinear system, Mathematics, Finance, Solitary wave solutions, Rogue Waves in Nonlinear Systems, Soliton equations, Traveling wave solutions, Soliton solutions, fractional derivative, solitary wave solutions, KdV equations (Korteweg-de Vries equations), hyperbolic wave solutions, exponential wave solutions, Fractional partial differential equations, fifth-order KdV equations
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Park, Choonkil...et al. (2020). "Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations". ADVANCES IN DIFFERENCE EQUATIONS. Vol: 2020, No: 1.
WoS Q
Q1
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OpenCitations Citation Count
84
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
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CrossRef : 69
Scopus : 93
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