RESUMEN
The prolongation structure
approach of whalquist and Estabrook is used effectively in a new situation in
relation to the integrodifferential type B-O equation (the Benjamin-Ono
equation).The main clue lies in possible differential equation representation
of such equations in three dimension. Here it is show the usual analysis of
prolongation structure can be utilized to deduce a Lax-pair for B-O type
equation in three dimension. Effectiveness of the present approach is further
demonstrated by an independent- derivation of some conservation laws associated
with the equation. Lastly we reduce the whole formalism to two dimension to
make contact with known results.