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<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><i><span style="font-family:"Times New Roman","serif"">Herkese Merhaba,</span></i><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""> <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><i><span style="font-family:"Times New Roman","serif"">MSGSU Matematik Bölümü Genel
Seminerinde bu haftaki konuşmacımız Aslı Pekcan. Seminer ile ilgili tüm
detaylar aşağıda yer almaktadır. </span></i><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""> <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">Aslı Pekcan, Hacettepe Üniversitesi<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">Başlık: <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">Integrable Nonlocal Reductions<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">Özet:<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">We talk about the
Ablowitz-Musslimani type nonlocal reductions. We show that nonlocal reductions
of systems of integrable nonlinear partial differential equations are the
special discrete symmetry transformations. We present some nonlocal reduced integrable
equations obtained from nonlinear Schrödinger (NLS) and modified Korteweg-de
Vries (mKdV) systems. We give some examples of soliton solutions of these
nonlocal equations obtained by using the Hirota method. <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">This is a joint work with Metin
Gürses and<span> </span><span>Kostyantyn Zheltukhin.<span></span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">References:
<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">[1] <span> </span>Ablowitz MJ, Musslimani ZH. Integrable
nonlocal nonlinear equations, Stud. Appl. Math. 2016; 139(1): 7.<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">[2] <span> </span>Gürses M,<span>
</span>Pekcan A,<span> </span>Zheltukhin K. Discrete
symmetries and nonlocal reductions, Phys. Lett. A, accepted.<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">[3] <span> </span>Gürses M, Pekcan A. Nonlocal nonlinear
Schr\"{o}dinger equations and their soliton solutions, J. Math. Phys.
2018; 59: 051501.<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">[4] <span> </span>Gürses M, Pekcan A. Nonlocal nonlinear
modified KdV equations and their soliton solutions, Commun. Nonlinear Sci.
Numer. Simulat. 2019; 67: 427--448.<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif""><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif"">Tarih: 14 Kasım Perşembe 2019, 16:00<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif";color:black">Yer: Matematik
Bölümü Seminer Odası</span><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif";color:black"> </span><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><i><span style="font-family:"Times New Roman","serif";color:black">Seminerde görüşmek
dileğiyle,</span></i><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-family:"Times New Roman","serif";color:black"> </span><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><i><span style="font-family:"Times New Roman","serif";color:black">Fatma Altunbulak Aksu</span></i><span style="font-family:"Times New Roman","serif""><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span> </span></p>
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