SOME ANALYTICAL SOLUTIONS FOR THE (2-DIMENSIONAL NONINTEGRABLE AND INTEGRABLE DISPERSIVE LONG-WAVE EQUATIONS(1))

In mechanical sciences, nonlinear evolution equations (NLEEs) and thei r solutions are of broad interest. Hereby we briefly report that compu terized symbolic computation with the generalized tanh method is power ful in constructing new soliton-like solutions for two sets of coupled NLEEs - the (2 + 1)-dimensional nonintegrable and integrable dispersi ve long wave equations. The physical interest of such solutions is tha t they correspond to the waves in fluids, the crests of which acquire shapes in the surface plane.