1. How old?
2. Doesn't seem like cheat texts to be honest. I think she just really misses you mate. Theres shitloads that you have to realise as well. Do any of her girlfriends have boyfriends. Are those boyfriends texting their girlfriends frequently whilst on holiday saying "I love you, miss you too, i appreciate the fuck out of you and your sexy motherfucking body" She could just be getting jealous that her friends boyfriends are paying them more attention and such.
If the amount of message becomes annoying just do this:
You: "Baby, why are you messaging me so much? I love it but your on holiday I would hate for me to be the reason you dont experience the holiday in full"
Me: "But I miss you so much

blahblahblah the other girls boyfriends are constantly messaging them and it makes me feel sad blahblahblah usual girl crap blahblahblah"
You: "Baby I want you to have a good time so go have one! Il be angry if you don't and just to prove how much I love you I'l send you special messages every day, then they will mean more

"
fucking easy.