The airline will be processing the Litecoin and Dogecoin payments through GoCoin, a payment processor that helps business accept Bitcoin, Litecoin, and Dogecoin as payment for their goods and services. Additionally, CheapAir has started an e-support service to help customers with any problems they may run into when trying to pay for their flights in crypto-currency.
http://www.coinfinance.com/news/cheapair-now-accepting-litecoin-and-dogecoin