Solitary and compacton solutions of fractional KdV-like equations
Tang Bo,
Fan Yingzhe,
Zhao Jianping,
Wang Xuemin
Affiliations
Tang Bo
School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, P.R. China; School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, P.R. China
Fan Yingzhe
School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, P.R. China
Zhao Jianping
College of Mathematics and System Sciences, XinJiang University, Urumqi 830046, P.R. China
Wang Xuemin
Department of Mechanical Engineering, University of Texas at Dallas, Richardson, United States America
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.
