تجاوز إلى المحتوى الرئيسي
User Image

هدى ضيف الله عايد الرشيدى

Assistant Professor

عضو هيئة تدريس بقسم الرياضيات

كلية العلوم
مبنى: ٥ ،الدور: ٣ ،مكتب: ٥٠
المنشورات
مقال فى مجلة
2020

Hierarchies of q-discrete Painleve equations

In this paper, we construct a new hierarchy based on the third q-discrete Painleve ́ equation (qPIII) and also study the hierarchy of the second q-discrete Painleve ́ equation (qPII). Both hierarchies are derived by using reductions of the general lattice modified Korteweg-de Vries equation. Our results include Lax pairs for both hierarchies and these turn out to be higher degree expansions of the non-resonant ones found by Joshi and Nakazono [29] for the second-order cases. We also obtain Ba ̈cklund transformations for these hierarchies. Special q-rational solutions of the hierarchies are constructed and corresponding q-gamma functions that solve the associated linear problems are derived.

نوع عمل المنشور
جزء من رسالة الدكتوراه
رقم المجلد
27
رقم الانشاء
3
مجلة/صحيفة
Journal of Nonlinear Mathematics Physics
الصفحات
453-477
مزيد من المنشورات
publications

In this paper, we construct a new hierarchy based on the third q-discrete Painleve ́ equation (qPIII) and also study the hierarchy of the second q-discrete Painleve ́ equation (qPII). Both…

2020
publications

We deal with a relational algebra model to define a refinement fuzzy ordering (demonic fuzzy inclusion) and also the associated fuzzy operations which are fuzzy demonic join, fuzzy demonic meet …

2010