Symmetries of Ordinary Differential Equations

  • Gerd Baumann


Let us start with the following question. Suppose you have to solve an ordinary differential equation of second order like
$$\begin{gathered} equation1 = {\partial _{(x,2)}}u[x]\left( {x - u[x]} \right){\partial _x}u[x] = = 0; \hfill \\ equation1//LieTradionalForm \hfill \\ - ( - u + x){u_x} + {u_{x,x}} = = 0 \hfill \\ \end{gathered} $$


Ordinary Differential Equation Vector Field Riccati Equation Canonical Variable Invariance Condition 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Gerd Baumann
    • 1
  1. 1.Department of Mathematical PhysicsUniversity of UlmUlmGermany

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