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Invariant Subspace Method and Exact Solutions of Certain Nonlinear Time Fractional Partial Differential Equations

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Published/Copyright: February 10, 2015

Abstract

We show, using invariant subspace method, how to derive exact solutions to the time fractional Korteweg-de Vries (KdV) equation, potential KdV equation with absorption term, KdV-Burgers equation and a time fractional partial differential equation with quadratic nonlinearity. Also we extend the invariant subspace method to nonlinear time fractional differential-difference equations and derive exact solutions of the time fractional discrete KdV and Toda lattice equations.

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Received: 2014-5-6
Published Online: 2015-2-10

© 2015 Diogenes Co., Sofia

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