We study a generalized nonlinear KdV system is studied by using the homotopic map**
method. Firstly, a homotopic map** transform is constructed; secondly, the suitable initial …

We study a generalized nonlinear Boussinesq equation by introducing a proper functional
and constructing the variational iteration sequence with suitable initial approximation. The …

In this article, we study the Riemann problem for a strictly hyperbolic system of conservation
laws under the linear approximation of flux functions with three parameters. The …

A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification
of the pt-law of propagation Page 1 Interfaces and Free Boundaries 15 (2012), 167–180 DOI …

A class of singularly perturbed initial boundary value problems of reaction diffusion
equations for the nonlinear boundary condition with two parameters is considered. Under …

In this paper we generalize the Fenichel theory for attracting critical/slow manifolds to fast-
reaction systems in infinite dimensions. In particular, we generalize the theory of invariant …

We introduce some free boundary problems which describe the evolution of calcium
carbonate stones under the attack of atmospheric SO _2, taking into account both swelling of …

The corresponding solution for a class of disturbed KdV equation is considered using the
analytic method. From the generalized variational iteration theory, the problem of solving …

One of the most crucial and lethal characteristics of solid tumors is represented by the
increased ability of cancer cells to migrate and invade other organs during the so-called …

Here we propose and analyze a mathematical model that aims to describe the marble
sulphation process occurring in a given material. The model accounts for rugosity as well as …