<div dir="ltr">Değerli liste üyeleri,<div><br></div><div>detayları aşağıda ve ekteki afişte verilen seminere igilenen herkesi bekliyoruz.</div><div><br></div><div>En iyi dileklerimle,</div><div><br></div><div>mesut</div><div><br></div><div><p style="margin:0px;text-align:justify;font-size:13px;font-family:'Times New Roman';color:rgb(35,35,35)"><b>Tarih (Date) :</b> 09.02.2015, Pazartesi (Monday) </p>
<p style="margin:0px;text-align:justify;font-size:13px;font-family:'Times New Roman';color:rgb(35,35,35)"><b>Saat (Time):</b> 13:00</p>
<p style="margin:0px;text-align:justify;font-size:13px;font-family:'Times New Roman';color:rgb(35,35,35)"><b>Yer (Place):</b> Yaşar ATAMAN Seminer Salonu</p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman';color:rgb(35,35,35)"><b>Konuşmacı (Speaker):</b> Doç. Dr. Burcu Silindir Yantır (İzmir Ekonomi Üniversitesi)</p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman'"><span style="color:rgb(35,35,35)"><b>Başlık (Title) :</b> </span>Integrability, integrable q-difference equations and extensions </p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman'"><span style="color:rgb(35,35,35)"><b>Özet (Abstract) : </b></span>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. </p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman'">References: </p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman'">[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). </p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman'">[3] M. Blaszak, B. Silindir, B.M. Szablikowski, Construction and seperability of nonlinear soliton integrable couplings, Applied Math. and Comput. 219, 2012. </p>
<p style="margin:0px 0px 12px;text-align:justify;font-size:13px;font-family:'Times New Roman'">[4] B. Silindir, D. Soyoğlu, On unification of integrable q-difference soliton equations, submitted.</p>
<p style="margin:0px;text-align:justify;font-size:13px;font-family:'Times New Roman';color:rgb(35,35,35)">NOT: Konuşma sonunda çay ve pasta ikramı olacaktır.</p>
<p style="margin:0px;text-align:justify;font-size:13px;font-family:'Times New Roman'"><span style="color:rgb(35,35,35)">(P.S. Tea and </span>cookies will be served after the talk<span style="color:rgb(35,35,35)">.)</span></p><div><div class="gmail_signature"><div dir="ltr"> <br><br> Mesut Sahin<div> Associate Professor<br> Department of Mathematics<br> Hacettepe University<br> TR 06800 Beytepe </div><div> ANKARA - TURKEY<br> <a href="http://yunus.hacettepe.edu.tr/~mesut.sahin" target="_blank">http://yunus.hacettepe.edu.tr/~mesut.sahin</a></div></div></div></div>
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