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


An extension of the Noether theorem: Accompanying equations possessing conservation laws
Institution:1. Keldysh Institute of Applied Mathematics, Russian Acad. Sci., Moscow, Russia;2. Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, Ufa, Russia;3. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Science, Blekinge Institute of Technology, Karlskrona, Sweden;1. Blekinge Institute of Technology;1. Laboratory GAMMNES, Ufa State Aviation Technical University, Ufa, Russia;2. Research Center ALGA, Blekinge Institute of Technology, Karlskrona, Sweden;3. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia;4. Center for Fundamental and Applied Research, VNIIA, ROSATOM, Moscow, Russia;5. School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand;6. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia;1. Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, Ufa, Russia;2. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Science, Blekinge Institute of Technology, Karlskrona, Sweden;3. Physical Faculty of M.V. Lomonosov Moscow State University, Russia;4. O.Yu. Schmidt Earth physics institute of Russian Academy of Sciences, Russia;5. N.I. Lobachevski Nizhni Novgorod State University, Russia;6. A.M. Prokhorov General physics institute of Russian Academy of Sciences, Russia;7. Department of Mechanical Engineering, Blekinge Institute of Technology, Karlskrona, Sweden;1. Department of Mathematics and Mechanics, St Petersburg State University, St Petersburg 198504, Russia;2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasilievskii Ostrov, St Petersburg 199178, Russia;3. St Petersburg State Polytechnical University, St Petersburg 195251, Russia;4. Ufa State Aviation Technical University, 12 K. Marx str., Ufa 450000, Russia
Abstract:It is shown that the Noether theorem can be extended for some equations associated (accompanying) with Euler–Lagrange equation. Each symmetry of Lagrangian yields a class of accompanying equations possessing conservation law (first integral).The generalization is done for canonical Hamiltonian equations as well.
Keywords:Symmetries  Conservation laws  First integrals
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