期刊论文详细信息
Advances in Difference Equations | |
Formulation and solution to time-fractional generalized Korteweg-de Vries equation via variational methods | |
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; Heâs 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
【 预 览 】
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