Formulation and solution to time-fractional generalized Korteweg-de Vries equation via variational methods

Advances in Difference Equations

Youwei Zhang¹ 

[1] Department of Mathematics, Hexi University, Zhangye, China

关键词: Riemann-Liouville fractional differential operator;    Euler-Lagrange equation;    Riesz fractional derivative;    generalized KdV equations;    He’s variational-iteration method;    solitary wave;   

DOI  :  10.1186/1687-1847-2014-65

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper presents the formulation of the time-fractional generalized Korteweg-de Vries equation (KdV) using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense and derives an approximate solitary wave solution. Our results show that He’s variational-iteration method is a very efficient technique for finding the solution of the proposed equation and extend the existing results.

【 授权许可】

CC BY