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May 31, 2020 at 20:21 comment added Ben McKay As you know from your previous question, Peter Olver's book is probably the main source of information on symmetry methods for differential equations. You could also look at the books of Ibrahimov.
May 31, 2020 at 16:40 comment added sleeve chen @BenMcKay Yes! But I mean if the equations do have some nice form (please let me know which form is qualified) then we can reduce the PDE to ODE more efficiently.
May 31, 2020 at 14:40 comment added Ben McKay We really want to find invariant differential relations between the invariant functions. The symmetries might not commute, so the reduction cannot necessarily be carried out in the stages that your problem suggests.
S May 31, 2020 at 14:35 history suggested J. W. Tanner CC BY-SA 4.0
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May 31, 2020 at 14:19 review Suggested edits
S May 31, 2020 at 14:35
May 31, 2020 at 8:46 history asked sleeve chen CC BY-SA 4.0