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Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation
2017
Advances in Mathematical Physics
The Korteweg-de Vries (KdV) equation, especially the fractional higher order one, provides a relatively accurate description of motions of long waves in shallow water under gravity and wave propagation in one-dimensional nonlinear lattice. In this article, the generalizedexp(-Φ(ξ))-expansion method is proposed to construct exact solutions of space-time fractional generalized fifth-order KdV equation with Jumarie's modified Riemann-Liouville derivatives. At the end, three types of exact
doi:10.1155/2017/6743276
fatcat:2hp4forlgng4lkdcm6weadxoga