An {$r$}-matrix approach to nonstandard classes of integrable equations

An r - Matrix Approach to Nonstandard Classes of Integrable EquationsB

An Alternative Approach to Integrable Discrete Nonlinear Schrödinger Equations

In this article we develop the direct and inverse scattering theory of a discrete matrix Zakharov-Shabat system with solutions Un and W n. Contrary to the discretization scheme enacted by Ablowitz and Ladik, a central difference scheme is applied to the positional derivative term in the matrix Zakharov-Shabat system to arrive at a different discrete linear system. The major effect of the new di...

the aesthetic dimension of howard barkers art: a frankfurtian approach to scenes from an execution and no end of blame

رابطه ی میانِ هنر و شرایطِ اجتماعیِ زایش آن همواره در طولِ تاریخ دغدغه ی ذهنی و دل مشغولیِ اساسیِ منتقدان و نیز هنرمندان بوده است. از آنجا که هنر در قفس آهنیِ زندگیِ اجتماعی محبوس است، گسترش وابستگیِ آن با نهاد ها و اصولِ اجتماعی پیرامون، صرفِ نظر از هم سو بودن و یا غیرِ هم سو بودنِ آن نهاد ها، امری اجتناب ناپذیر به نظر می رسد. با این وجود پدیدار گشتنِ چنین مباحثِ حائز اهمییتی در میان منتقدین، با ظهورِ مکتب ما...

A New Approach to Nonstandard Analysis

In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing  a few applications of this approach with the former methods.

Symmetry, Equivalence and Integrable Classes of Abel Equations

We suggest an approach for description of integrable cases of the Abel equations. It is based on increasing of the order of equations up to the second one and using equivalence transformations for the corresponding second-order ordinary differential equations. The problem of linearizability of the equations under consideration is discussed.