ABSTRACT:
A brief review of the Algebraic Bethe Ansatz (ABA) technique and
the application  to integrable models with staggered disposition of 
R-matrices will be presented.
A set of integrable ladder models based on this generalization of ABA
will be formulated.
The motivation for consideration of integrable models with staggered
disposition of R-matrices comes from the phenomenological 
Chalker-Coddington (CC) model of edge excitations in quantum Hall effect, 
responsible for plateau-plateau transitions. We present the Action 
formulation of the CC model and average the Landauer resistance over U(1) phase 
disorder. It appears, that the resultant model is integrable since 
corresponding Yang-Baxter equations are satisfied.