Coefficients of prolongations for symmetries of ODEs
Sophus Lie developed a systematic way to solve ODEs. He found that transformations which form a continuous group and leave a differential equation invariant can be used to simplify the equation. Lie's method uses the infinitesimal generator of these point transformations. These are symmetries o...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2004-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S016117120430904X |