Use of dynamic symmetries to integration the ODEs of second order.
M.I. Timoshin1
| Annotation | There is a class of dynamic symmetries which have invariants providing the lowering of the ODE order and containing the whole class of point symmetries. The procedure of the finding of dynamic symmetries for ODE of second order is suggested. Some examples of the usage of dynamic symmetries are given. The application of the obtained solutions to investigation of the nonlinear heat conduction equation is considered. |
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| Keywords | ordinary differential equations, dynamical symmetries, Abel's equation, nonlinear heat conduction equation. |
1Ulyanovsk Technical University, Ulyanovsk; midvolga@mail.ru
Citation: M.I. Timoshin, "[ Use of dynamic symmetries to integration the ODEs of second order.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 211–220 (In Russian)
