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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Sahadevan, R., Bakkyaraj, T. Invariant Subspace Method and Exact Solutions of Certain Nonlinear Time Fractional Partial Differential Equations. FCAA 18, 146–162 (2015). https://doi.org/10.1515/fca-2015-0010
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DOI: https://doi.org/10.1515/fca-2015-0010