ترغب بنشر مسار تعليمي؟ اضغط هنا

On some class of differential-difference equations admitting Lax representation

193   0   0.0 ( 0 )
 نشر من قبل Andrei Svinin Kirillovich
 تاريخ النشر 2013
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Andrei K. Svinin




اسأل ChatGPT حول البحث

This note is designed to show some classes of differential-difference equations admitting Lax representation which generalize evolutionary equations known in the literature.



قيم البحث

اقرأ أيضاً

225 - Andrei K. Svinin 2015
We consider two infinite classes of ordinary difference equations admitting Lax pair representation. Discrete equations in these classes are parameterized by two integers $kgeq 0$ and $sgeq k+1$. We describe the first integrals for these two classes in terms of special discrete polynomials. We show an equivalence of two difference equations belonged to different classes corresponding to the same pair $(k, s)$. We show that solution spaces $mathcal{N}^k_s$ of different ordinary difference equations with fixed value of $s+k$ are organized in chain of inclusions.
295 - Andrei K. Svinin 2014
We show some classes of higher order partial difference equations admitting a zero-curvature representation and generalizing lattice potential KdV equation. We construct integrable hierarchies which, as we suppose, yield generalized symmetries for ob tained class of partial difference equations. As a byproduct we also derive non-evolutionary differential-difference equations with their Lax pair representation which may be of potential interest.
152 - Andrei K. Svinin 2013
We introduce two classes of discrete polynomials and construct discrete equations admitting a Lax representation in terms of these polynomials. Also we give an approach which allows to construct lattice integrable hierarchies in its explicit form and show some examples.
167 - Andrei K. Svinin 2021
In this paper we show that an arbitrary solution of one ordinary difference equation is also a solution for infinite class of difference equations. We also provide an example of such a solution that is related to sequence generated by second-order linear recurrent relations.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا