2017
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1
0
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Contributions to differential geometry of spacelike curves in Lorentzian plane L2
2
2
In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane $mathbb{L}^{2}.$ Then the special curves mentioned above are studied in Lorentzian plane $mathbb{L}%^{2}.$ Finally some characterizations of these special curves are given in $mathbb{L}^{2}.$
1

1
12


YASIN
UNLUTURK
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY,
Iran
yasinunluturk@klu.edu.tr


SUHA
YILMAZ
BUCA FACULTY OF EDUCATION,
DOKUZ EYLUL UNIVERSITY, 35150, BUCAIZMIR, TURKEY,
BUCA FACULTY OF EDUCATION,
DOKUZ EYLUL UNIVERSITY,
Iran
suha.yilmaz@deu.edu.tr


MURADIYE
CIMDIKER
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY,
Iran
muradiye.1001@hotmail.com
Spacelike curve
Lorentzian plane
circular indicatrices
Smarandache curves
curves of constant breadth
Decomposition of ideals into pseudoirreducible ideals in amalgamated algebra along an ideal
2
2
Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$Noetherian. Then we give a characterization for pseudoirreducible ideals of $Abowtie^fJ$, in special cases.
1

13
24


Esmaeil
Rostami
Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Pure Mathematics, Shahid Bahonar
Iran
e_rostami@uk.ac.ir
Amalgamated algebra along an ideal
$J$Noetherian
complete comaximal factorization
pseudoirreducible ideal
Generalization of general helices and slant helices
2
2
In this work, we use the formal definition of $k$slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slantslant helices} which a generalization of emph{general helices} and emph{slant helices}. Also, we present some characterizations theorems for $k$slant helices and derived, in general form, the intrinsic equations for such curves. Thereafter, from a Salkowski curve, antisalkowski curve, a curve of constant precession and spherical slant helix, as examples of slant helices, we apply this method to find the parametric representation of some emph{slantslant} helices by means of intrinsic equations. Finally, the parametric representation and the intrinsic equations of textit{Slakowski slantslant} and textit{AntiSlakowski slantslant} helices have been given.
1

25
41


Ahmet
Ali
AlAzhar University
AlAzhar University
Iran
atali71@yahoo.com
General helix
Slant helix
Slantslant helix
$k$slant helix
Nearly solitons for a perturbed higherorder nonlinear Schr𝑜̈dinger equation
2
2
In the present paper we develop the soliton perturbation theory to find nearly soliton solutions for a perturbed higherorder nonlinear Schr¨odinger (PHNLS) equation. An integral expression for the firstorder correction to the wave is found and to avoid the secular terms, the dynamical systems for the soliton parameters are found.
1

43
56


Sajjad
Eskandar
Department of mathematics, Factually of science, ValieAsr university of Rafsanjan, Iran
Department of mathematics, Factually of science,
Iran
s_eskandar66@yahoo.com


Sayad Mohammad
Hoseini
Department of Mathematics, Factually of Science, ValieAsr University of Rafsanjan, Rafsanjan, Iran
Department of Mathematics, Factually of Science,
Iran
hoseini@uow.edu.au
higherorder Schrödinger equation
IST
soliton perturbation theory
squared eigenfunctions