There are some differences between Lex and Flex, but you have to be abusing Lex to run into the problems with Flex. (I have a program which abuses Lex and doesn’t work under Flex, therefore.) This is primarily in the area of input lookahead; in Lex, you can provide your own input code and modify the character stream; Flex won’t let you do that.
Yacc and Bison are pretty closely compatible, though Bison has some extra tricks it can do.
You probably can’t find legitimate copies of (the original, AT&T versions of) Lex and Yacc to install on Ubuntu. I wouldn’t necessarily say it is impossible, but I’m not aware of such. Flex and Bison are readily available and are equivalent for most purposes. You may also find various alternative and approximately equivalent programs from the BSD world.
Lex and Yacc are maintained by the Unix SVRx licencees – companies such as IBM (AIX), HP (HP-UX) and Sun (Solaris) have modified versions of Lex and Yacc at their command. MKS also provides MKS Lex and MKS Yacc; however, the Yacc at least has some non-standard extensions.
Flex and Bison are free. (AT&T) Lex and Yacc are not.