Solitary and compacton solutions of fractional KdV-like equations-Reference-Cited by-同舟云学术

Solitary and compacton solutions of fractional KdV-like equations

Published:2016-01-01 Issue:1 Volume:14 Page:328-336
ISSN:2391-5471
Container-title:Open Physics
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Author:

Tang Bo¹,Fan Yingzhe²,Zhao Jianping³,Wang Xuemin⁴

Affiliation:

1. 1School 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

2. 2School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, P.R. China

3. 3College of Mathematics and System Sciences, XinJiang University, Urumqi 830046, P.R. China

4. 4Department of Mechanical Engineering, University of Texas at Dallas, Richardson, United States America

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2016-0038/pdf

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