Construction of Mappings Relating Differential Equations

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


In previous chapters we have considered the construction and use of infinitesimal transformations which leave a given differential equation invariant. These transformations map any solution of the given DE into another solution of the same DE. We have used infinitesimal transformations to reduce the order of ODE’s and to construct invariant solutions and conservation laws for DE’s.


Infinitesimal Generator Point Transformation Contact Transformation Infinitesimal Transformation Linear Heat Equation 
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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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