A Novel Analytical Technique To Obtain the Solitary Solutions for Nonlinear Evolution Equation of Fractional Order
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Date
2020
Journal Title
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Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Impulse
Top 1%
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Top 10%
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Top 1%
Abstract
We investigate some solitary wave results of time fractional evolution equations. By employing the extended rationalexp((-psi '/psi)(eta))-expansion method, a few different results including kink, singular-kink, multiple soliton, and periodic wave solutions are formally generated. It is worth mentioning that the solutions obtained are more general with more parameters. The exact solutions are constructed in the form of exponential, trigonometric, rational, and hyperbolic functions. With the choice of proper values of parameters, graphs to some of the obtained solutions are drawn. On comparing some special cases, our solutions are in good agreement with the results published previously and the remaining are new.
Description
Ghaffar, Abdul/0000-0002-5994-8440; Akram, Saima/0000-0001-6434-7650; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Junjua, Moin-Ud-Din/0000-0002-1251-1532
Keywords
Simplified Modified Camassa-Holm (Smch) Equation, Fractional Calculus, Caputo'S Derivative Of Fractional Order, Solitary Wave Solutions, Extended Rational ((Psi '/Psi)(Eta))-Expansion Method, Time-Fractional Diffusion Equation, Fractional calculus, Caputo’s derivative of fractional order, Statistical and Nonlinear Physics, Periodic Wave Solutions, Computer science, Algorithm, Fractional Derivatives, Physics and Astronomy, Discrete Solitons in Nonlinear Photonic Systems, Modeling and Simulation, Simplified modified Camassa–Holm (SMCH) equation, Extended rational exp ( ( ψ ′ ψ ) ( η ) ) $\exp ((\frac{\psi '}{\psi })(\eta ))$ -expansion method, Physical Sciences, QA1-939, FOS: Mathematics, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, Mathematics, Solitary wave solutions, Rogue Waves in Nonlinear Systems, Soliton equations, fractional calculus, extended rational \(\exp ((\frac{\psi'}{\psi})(\eta))\)-expansion method, Fractional derivatives and integrals, Soliton solutions, Solitary waves in solid mechanics, solitary wave solutions, Fractional partial differential equations, simplified modified Camassa-Holm (SMCH) equation, Caputo's derivative of fractional order
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Ghaffar, Abdul...et al. (2020). "A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
44
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 7
Scopus : 75
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