Initial--boundary-value problems in a strip with different types of boundary conditions for two-dimensional generalized Zakharov--Kuznetsov equations are considered. Results on global existence and uniqueness of weak solutions in certain weighted spaces are established.
"On initial-boundary value problems in a strip for generalized two-dimensional Zakharov--Kuznetsov equation." Adv. Differential Equations 18 (7/8) 663 - 686, July/August 2013.