Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws

Author:

He Fangqin1,Li Lianzhong1

Affiliation:

1. School of Science, Jiangnan University , Wuxi , 214122 , China

Abstract

Abstract In the paper, we research a time fractional modified KdV-type equations.We give the symmetry reductions and exact solutions of the equations, and we investigate the convergence of the solutions. In addition, the conservation laws of the equations are constructed.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Reference40 articles.

1. Olver P.J., Application of Lie Group to Differential Equation, 1986, Springer, New York.

2. Grosser M., Kunzinger M., Oberguggenberger M., et al., Applications to Lie Group Analysis of Differential Equations// Geometric Theory of Generalized Functions with Applications to General Relativity. Springer Netherlands, 2001:353-414.

3. Miller W., Ovsiannikov L. V., Group Analysis of Differential Equations. 1982, 92(2):155.

4. Meinhardt J. R., Symmetries and differential equations, 1980, 28(15):507-514.

5. Liu H., Li J., Zhang Q., Lie symmetry analysis and exact explicit solutions for general Burgers’ equation, Journal of Computational & Applied Mathematics, 2009, 228(1):1-9.

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3