首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms
Institution:1. School of Business Administration, Shanghai Finance University, Shanghai 201209, China;2. College of Information Technology, Shanghai Ocean University, Shanghai 201306, China;3. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;1. Laboratoire Interdisciplinaire des Sciences et Sciences Appliquées du Sahel (LISSAS), Département des Sciences Physiques, Université de Maroua, BP 46 Maroua, Cameroon;2. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, PR China;3. Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, PR China;4. Laboratoire LE2I UMR CNRS 6306, Aile des Sciences de l’ingénieur, Université de Bourgogne, BP 47870, 21078 Dijon Cedex, France;1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People’s Republic of China;2. Jiangxi University of Science and Technology, Ganzhou 341000, People’s Republic of China;3. Wuhan Center for Magnetic Resonance, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China
Abstract:Meleshko presented a new method for reducing third order autonomous ordinary differential equations (ODEs) to Lie linearizable second order ODEs. We extended his work by reducing fourth order autonomous ODEs to second and third order linearizable ODEs and then applying the Ibragimov and Meleshko linearization test for the obtained ODEs. The application of the algorithm to several ODEs is also presented.
Keywords:Linearization  Reducible to Lie linearizable forms  autonomous ODE  Classification of ODEs
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号