Save before you battle him then battle him if it ain't shiny turn it off then do it again. Or you can reset buy pressing L R start select
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you go to the third gym you go up you go to the grass and you randomly walk around and voila! dark lugia if you want shiny do the same thing but release your mew and mewtwo and there is shiny lugia.
to help you get lugia in the whirl islands..
Either get really lucky or(this may take hours)save your game befor battling Lugia. Battle him. If he isn't shiny (red in blue spots)shut your game off. Restart and reapeat.
There is no such thing as the Shadow Luiga. To catch the Shiny Lugia though, you need to find the code.
In the Pokemon Gold and Silver series of video games, Lugia is available to capture in the location known as Whirl Islands. The player must have an item called a Silver Wing in order to access Lugia.