New two-component vector breather solution of the modified Benjamin–Bona–Mahony (MBBM) equation is considered. Using generalized perturbation reduction method, MBBM reduced to coupled nonlinear Schrödinger equations for auxiliary functions. Explicit analytical expressions profile and parameters oscillating with sum difference frequencies wavenumbers are presented. The single-component scalar co...

In this paper, a Boussinesq equation is solved by using the Adomian's decomposition method, modified Adomian's decomposition method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods ...

A modification of Peng-Robinson equation is described wherein in the parameter b is expressed as a linear function of temperature. The modified equation is then applied to a series of light hydrocarbons and refrigerants, and predicted values for vapor pressure, saturated vapor volume, saturated liquid volume and the heat of evaporation are compared with the corresponding experimental data. ...

A new theory model based on the local composition concept (TNRF-modified NRTL (TNRF-mNRTL) model) was developed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. An equation represented the activity coefficient of solvent was derived from the proposed excess Gibbs energy equation. The short-range contribution of interaction ...

We prove that the periodic initial value problem for a modified Euler-Poisson equation is well-posed for initial data in Hs(Tm) when s > m/2 + 1. We also study the analytic regularity of this problem and prove a Cauchy-Kowalevski type theorem. After presenting a formal derivation of the equation on the semidirect product space Diff C∞(T) as a Hamiltonian equation, we concentrate on one space di...