I am working on a project which contains study of storage of different shapes of pulses in three-level lambda system. How can I solve equations involved in adiabatic approximation ?
In case you would be interested in reading about the adiabatic approximation (and the related Berry phase) in the general quantum mechanical setting and taking a look at some relevant general equations, a concise but clear treatment can be found, for example, in L. E. Ballentine, Quantum Mechanics: A Modern Development (World Scientific, Singapore, 1998), Ch. 12.7 (p. 363). It does not discuss solving the equations, though. Good luck with your project!