[Turkmath:215] Hacettepe Matematik Semineri, 9 şubat Pazartesi, Burcu Silindir Yantır

[Mesut Şahin]

Değerli liste üyeleri,

detayları aşağıda ve ekteki afişte verilen seminere igilenen herkesi
bekliyoruz.

En iyi dileklerimle,

mesut

*Tarih (Date) :* 09.02.2015, Pazartesi (Monday)

*Saat (Time):* 13:00

*Yer (Place):* Yaşar ATAMAN Seminer Salonu

*Konuşmacı (Speaker):* Doç. Dr. Burcu Silindir Yantır (İzmir Ekonomi
Üniversitesi)

*Başlık (Title) :* Integrability, integrable q-difference equations and
extensions

*Özet (Abstract) : *We investigate the notion of integrability by
discussing in several different definitions. We present the integrability
of q-difference equations in the light of existence of multi-soliton
solutions. Moreover, we constitute a unifying framework for q-discrete
equations and their multi-soliton solutions that comprises various q-
difference type of soliton equations such as sine-Gordon, KdV and Toda
equations. For this purpose, we present a generic equation and develop
three-q-soliton solutions, which are expressed in the form of polynomials
in power functions. We conjecture the nonexistence of other unifying
approaches to study integrable equations on quantum numbers or on any time
scales via Hirota perturbation. Finally, we also present a natural
extension of nonlinear integrable systems by introducing a new vector
product on the n-dimensional Euclidean space.

References:


[1] M. Blaszak, M. Gürses, B. Silindir, B.M. Szablikowski, Integrable
discrete systems on R and related dispersionless systems, J. Math. Phys. 49
(2008) 072702.
                                                  [2] B. Silindir, Soliton
solutions of q-Toda lattice by Hirota Direct Method, Advances in Difference
Equations. 2012:121 (2012).

[3] M. Blaszak, B. Silindir, B.M. Szablikowski, Construction and
seperability of nonlinear soliton integrable couplings, Applied Math. and
Comput. 219, 2012.

[4] B. Silindir, D. Soyoğlu, On unification of integrable q-difference
soliton equations, submitted.

NOT: Konuşma sonunda çay ve pasta ikramı olacaktır.

(P.S.  Tea and cookies will be served after the talk.)


  Mesut Sahin
  Associate Professor
  Department of Mathematics
  Hacettepe University
  TR 06800 Beytepe
  ANKARA - TURKEY
 http://yunus.hacettepe.edu.tr/~mesut.sahin
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