Lie Group Theory for Nonlinear Fractional K(M, N) Type Equation With Variable Coefficients
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Date
2022
Authors
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Journal ISSN
Volume Title
Publisher
Springer Science and Business Media Deutschland GmbH
Open Access Color
Green Open Access
Yes
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No
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Abstract
We investigated the analytical solution of fractional order K(m, n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry analysis, we obtain the Lie point symmetries for this type of time-fractional partial differential equations (PDE). Also we present the corresponding reduced fractional differential equations (FDEs) corresponding to the time-fractional K(m, n) type equation. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Description
Keywords
Fractional Differential Equation, Fractional Order K(M, Lie Symmetry Analysis Method, N) Type Equation, Reduced Equation, Mathematics - Analysis of PDEs, FOS: Mathematics, 31B10, 44A10, 26A33, Analysis of PDEs (math.AP)
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Jafari, H.; Kadkhoda, N.; Baleanu, Dumitru (2022). "Lie Group Theory for Nonlinear Fractional K(m, n) Type Equation with Variable Coefficients", Studies in Systems, Decision and Control, Vol. 373, pp. 207-227.
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
4
Source
Studies in Systems, Decision and Control
Volume
373
Issue
Start Page
207
End Page
227
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