Solitary and compacton solutions of fractional KdV-like equations

Abstract

In this paper, based on Jumarie’s modified Riemann-Liouville derivative, we apply the fractional variational iteration method using He’s polynomials to obtain solitary and compacton solutions of fractional KdV-like equations. The results show that the proposed method provides a very effective and reliable tool for solving fractional KdV-like equations, and the method can also be extended to many other fractional partial differential equations.

Keywords

• fractional variational iteration method
• homotopy perturbation method
• modified riemann-liouville derivative
• fractional partial differential equation
• 02.30.jr
• 02.60.-x
• 04.20.fy
• 04.20.jb