Abstract
It is shown that multi-waves are generated through direct or indirect nonlinear interactions of basic traveling waves. Direct and indirect nonlinear interactions are suggested via nonlinear combinations and bilinear transformations with nonlinear combinations of basic traveling wave solutions. Here, the used method is a generalization of the unified method presented by the first author in a recent work. Two-and three-soliton solutions have been obtained by the nonlocal Boussinesq equation through the simplified Hirota method very recently. Here, it is shown that they are particular cases of those found in this work. Multi-soliton waves are shown to be super-diffracted notably for higher speed of waves spreading. Further, a giant wave is formed in the region of interaction of the soliton waves.