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.