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Abstract: In this paper, we prove existence of small amplitude quasi-periodic solutions for a non-autonomous, quasi-periodically forced nonlinear wave equations with periodic spatial boundary conditions via KAM theory. [Copyright &y& Elsevier]

Abstract: In this paper, we study the Schrödinger–Poisson system and prove the existence of ground state solutions for system (SP) under certain assumptions on the linear and nonlinear terms. Some recent results from different authors are extended. [Copyright &y& Elsevier]

Abstract: In this paper we use a concentration and compactness argument to prove the existence of a nontrivial non-radial solution to the nonlinear Schrödinger–Poisson equations in , assuming on the nonlinearity the general hypotheses introduced by Berestycki and Lions. [ABSTRACT FROM AUTHOR]

Abstract: This paper examines the properties of the homentropic Euler equations when the characteristics of the equations have been spatially averaged. The new equations are referred to as the characteristically averaged homentropic Euler (CAHE) equations. An existence and uniqueness proof for the modified equations is given. The speed of shocks for the CAHE equations are determined. The Riemann problem is examined and a general form of the solutions is presented. Finally, numerically simulations on the homentropic Euler and CAHE equations are conducted and the behaviors of the two sets of equations are compared. [Copyright &y& Elsevier]

Abstract: In this paper we study the generalized BO–ZK equation in two space dimensions We review the existence theory for solitary waves and prove that they are nonlinearly unstable if p belongs to the range . We also establish Strichartz-type estimates. [Copyright &y& Elsevier]