Yantır Silindir, Burcu

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Profile URL
https://hdl.handle.net/20.500.14365/7225
Name Variants
Yantir, Burcu Sİlİndİr
Silindir, Burcu
Job Title
Email Address
burcu.silindir@deu.edu.tr
Main Affiliation
02.02. Mathematics
Status
Former Staff
Website
ORCID ID
0000-0001-5694-9977
Scopus Author ID
9845952500
Turkish CoHE Profile ID
7B127BFDAEADEB09
Google Scholar ID
7vb2cJoAAAAJ
WoS Researcher ID
FYL-8123-2022

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14

Citations

123

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6

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Scholarly Output

5

Articles

5

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0/0

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0

Supervised PhD Theses

0

WoS Citation Count

18

Scopus Citation Count

21

WoS h-index

3

Scopus h-index

3

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0

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0

WoS Citations per Publication

3.60

Scopus Citations per Publication

4.20

Open Access Source

4

Supervised Theses

0

JournalCount
Advances in Dıfference Equatıons1
Annals of Physıcs1
Applıed Mathematıcs And Computatıon1
Electronıc Journal of Dıfferentıal Equatıons1
Journal of Mathematıcal Physıcs1
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  • Thumbnail Image
    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    Bi-Hamiltonian Structures for Integrable Systems on Regular Time Scales
    (Amer Inst Physics, 2009) Szablikowski, Blazej M.; Blaszak, Maciej; Silindir, Burcu
    A construction of the bi-Hamiltonian structures for integrable systems on regular time scales is presented. The trace functional on an algebra of delta-pseudodifferential operators, valid on an arbitrary regular time scale, is introduced. The linear Poisson tensors and the related Hamiltonians are derived. The quadratic Poisson tensors are given by the use of the recursion operators of the Lax hierarchies. The theory is illustrated by Delta-differential counterparts of Ablowitz-Kaup-Newell-Segur and Kaup-Broer hierarchies.
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    Article
    Citation - WoS: 8
    Citation - Scopus: 9
    Soliton Solutions of Q-Toda Lattice by Hirota Direct Method
    (Springeropen, 2012) Silindir, Burcu
    This paper presents the q-analogue of Toda lattice system of difference equations by discussing the q-discretization in three aspects: differential-q-difference, q-difference-q-difference and q-differential-q-difference Toda equation. The paper develops three-q-soliton solutions, which are expressed in the form of a polynomial in power functions, for the differential-q-difference and q-difference-q-difference Toda equations by Hirota direct method. Furthermore, it introduces q-Hirota D-operator and presents the q-differential-q-difference version of Toda equation. Finally, the paper presents its solitary wave like a solution in terms of q-exponential function and explains the nonexistence of further solutions in terms of q-exponentials by the virtue of Hirota perturbation.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Construction and Separability of Nonlinear Soliton Integrable Couplings
    (Elsevier Science Inc, 2012) Blaszak, Maciej; Szablikowski, Blazej M.; Silindir, Burcu
    The paper is motivated by recent works of several authors, initiated by articles of Ma and Zhu [W. X. Ma, Z. N. Zhu, Constructing nonlinear discrete integrable Hamiltonian couplings, Comput. Math. Appl. 60 (2010) 2601] and Ma [W. X. Ma, Nonlinear continuous integrable Hamiltonian couplings, Appl. Math. Comput. 217 (2011) 7238], where new class of soliton systems, being nonlinear integrable couplings, was introduced. Here, we present a general construction of such class of systems and we develop the decoupling procedure, separating them into copies of underlying original equations. (C) 2012 Elsevier Inc. All rights reserved.
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    Article
    Flat Minimal Quantizations of Stackel Systems and Quantum Separability
    (Academic Press Inc Elsevier Science, 2014) Blaszak, Maciej; Domanski, Ziemowit; Silindir, Burcu
    In this paper, we consider the problem of quantization of classical Stackel systems and the problem of separability of related quantum Hamiltonians. First, using the concept of Stackel transform, natural Hamiltonian systems from a given Riemann space are expressed by some flat coordinates of related Euclidean configuration space. Then, the so-called flat minimal quantization procedure is applied in order to construct an appropriate Hermitian operator in the respective Hilbert space. Finally, we distinguish a class of Stackel systems which remains separable after any of admissible flat minimal quantizations. (C) 2014 Elsevier Inc. All rights reserved.
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    Article
    Citation - Scopus: 1
    Unification of Integrable Q-Difference Equations
    (Texas State Univ, 2015) Silindir, Burcu; Soyoglu, Duygu
    This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions by utilizing Hirota direct method. Furthermore, we present that the generalized q-difference soliton equation reduces to q-analogues of Toda, KdV and sine-Gordon equations equipped with their three-q-soliton solutions by appropriate transformations.