Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation

Dianchen Lu, Chen Yue, Muhammad Arshad
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
more » ... g wave solutions are obtained which indicate that the method is very practical and suitable for solving nonlinear fractional partial differential equations.
doi:10.1155/2017/6743276 fatcat:2hp4forlgng4lkdcm6weadxoga