On a class of σ-space with special nets

Abstract

Strong CP(HCP)-netted spaces are defined and some properties are shown. In particular, the following results are shown. (a) A submetrizable space is strong CP(HCP)-netted provided that the space admits a perfect map onto a strong CP(HCP)-netted space. (b) The image of a strong CP(HCP)-netted space under a perfect map is strong CP(HCP)-netted space. (c) A stratifiable space is strong HCP-netted if the space has a countable closed cover consisting of strong HCP-netted subspaces.

Applications of a Generalized Extended (G'/G) -Expansion Method to Find Exact Solutions of Two Nonlinear Schrödinger Equations with Variable Coefficients

“…Recently, Guo and Zhou [35] and Zayed and Al-Joudi [36] have obtained the exact traveling wave solutions of some nonlinear partial dierential equations (PDEs) using an extended…”

“…-expansion method used in this article can be considered as a greater generalization of that used in [35,36]. This method can be applied to further equations such as dierence-dierential equations which can be done in forthcoming articles.…”

“…Similarly, we can nd more solitary wave solutions of Eq. (2) using (35) and (38) but we omitted them for simplicity. …”