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Symmetries of Ordinary Differential Equations

  • Gerd Baumann

Abstract

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

Keywords

Ordinary Differential Equation Vector Field Riccati Equation Canonical Variable Invariance Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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