  We perform generalizations of Witt and Virasoro algebras, and derive the
corresponding Korteweg-de Vries equations from known R(p,q)-deformed quantum
algebras previously introduced in J. Math. Phys. 51, 063518, (2010). Related
relevant properties are investigated and discussed. Besides, we construct the
R(p,q)-deformed Witt n- algebra, and determine the Virasoro constraints for a
toy model, which play an important role in the study of matrix models. Finally,
as matter of illustration, explicit results are provided for main particular
deformed quantum algebras known in the literature.
