Noether’s Theorem and Lie-Bäcklund Symmetries

  • George W. Bluman
  • Sukeyuki Kumei
Part of the Applied Mathematical Sciences book series (AMS, volume 81)


In the preceding chapters we established the algorithm to determine Lie groups of point transformations of differential equations and developed methods to solve differential equations using such symmetries. In this chapter we study one of the most important applications of symmetries to physical problems, namely, the construction of conservation laws.


Point Symmetry Infinitesimal Generator Determine Equation Recursion Operator Point Transformation 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • George W. Bluman
    • 1
  • Sukeyuki Kumei
    • 2
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Faculty of Textile Science and TechnologyShinshu UniversityUeda, Nagano 386Japan

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