Lie Group Theory for Nonlinear Fractional K(m, n) Type Equation with Variable Coefficients
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Date
2022
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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.
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Fractional Differential Equation, Fractional Order K(M, Lie Symmetry Analysis Method, N) Type Equation, Reduced Equation
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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.
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Studies in Systems, Decision and Control
Volume
373
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Start Page
207
End Page
227