On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves

In this paper we consider a three-parameter system of Boussinesq/Boussinesq type, modeling the propagation internal waves. Some theoretical and numerical properties systems were previously analyzed by authors. As second part study, present is concerned with analysis existence simulation some issues dynamics solitary-wave solutions. Standard theories are used to derive several results classical generalized solitary waves, depending on parameters models. A procedure based Fourier collocation approximation for ode wave profiles periodic boundary conditions, iterative solution resulting fixed-point equations Petviashvili scheme combined vector extrapolation techniques, generate numerically approximations These an essential computational study both generalized. Using full discretization spectral in space corresponding initial-value problem systems, fourth-order Runge–Kutta method composition type as time integrator, explore evolution small large perturbations computed profiles, computationally collisions waves well resolution initial data into trains