Real and bounded elliptic solutions suitable for applying the KhareSukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified KadomtsevPetviashvili equation (gmKPE) and the nonlinear cubic-quintic Schrödinger equation (NLCQSE).

We study the convergence of two coupled numerical schemes, which are a discretization of a so-called elliptic-hyperbolic system. Only weak convergence properties are proved on the discrete diffusion of the elliptic problem and an adaptation of the H-convergence method gives a convergence property of the elliptic part of the scheme. The limit of the approximate solution is then the solution of a...