To extract the strings that are not + or -,
my @remaining = grep {defined} split /[+-]{2,}/, $righteq;
# fixed 2nd arg error
I assume you don't mean for these functions to be in perl, since your ^ appears to be exponentiation.
A more detailed regex for your special case can be constructed. Left as an exercise for the reader.
Update: Ok, using your regex:
my @remaining = grep {defined}
split /
(e\^\(t\+-(\d+\.?\d*|\.\d+)\))
# the special, captured
| # or else
[+-]+ # filler, not captured
/x,
$righteq;
After Compline,
Zaxo
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