For the Coupled Nonlinear Schrödinger Equations (CNLSE) we construct a conservative fully implicit scheme (in the vein of the scheme with internal iterations proposed in [C.I. Christov, S. Dost, G.A. Maugin, Inelasticity of soliton collisions in system of coupled nls equations, Physica Scripta 50 (1994) 449–454.]). Our scheme makes use of complex arithmetic which allows us to reduce the computa...

in this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. upper bounds for the second and third coefficients of functions in this subclass are founded. our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

Background: The intermediate filament vimentin is not normally exposed to the immune system, however when exposed, anti-vimentin antibodies (AVA) can be provoked. AVA have been implicated in the development of cardiac allograft vasculopathy (CAV), limiting the long-term benefits of cardiac transplantation. Our aim was to develop a more specific and sensitive assay for AVA than currently availab...