Abstract
Interacting (Int) Benjamin-Ono (BO) equations, certain coupled nonlinear integro-differential equations, are results of an extension or a decoupling of the BO equation. By using new operators, the solutions u i of Int BO equations are obtained starting from the exact N -soliton solution of the original BO equation. Then by examining weighted mean of pole positions of u i , very simple and clear-cut results are obtained: the center of gravity of u i moves with constant speed etc. Two-soliton interaction profiles are shown. Also shown the direct relationship of the solution u of the BO equation and the solution ψ i ′ of its inverse scattering transform.
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