Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2645-4505
6
1
2017
05
01
Contributions to differential geometry of spacelike curves in Lorentzian plane L2
1
12
EN
YASIN
UNLUTURK
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
yasinunluturk@klu.edu.tr
SUHA
YILMAZ
BUCA FACULTY OF EDUCATION,
DOKUZ EYLUL UNIVERSITY, 35150, BUCA-IZMIR, TURKEY,
suha.yilmaz@deu.edu.tr
MURADIYE
CIMDIKER
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
muradiye.1001@hotmail.com
10.22103/jmmrc.2017.1640
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 $mathbb{L}^{2}.$
Spacelike curve,Lorentzian plane,circular indicatrices,Smarandache curves,curves of constant breadth
http://jmmrc.uk.ac.ir/article_1640.html
http://jmmrc.uk.ac.ir/article_1640_ba755e0999e153a3aa4ed06a2a0633f8.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2645-4505
6
1
2017
05
01
Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal
13
24
EN
Esmaeil
Rostami
Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
e_rostami@uk.ac.ir
10.22103/jmmrc.2017.10782.1046
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 pseudo-irreducible ideals of $Abowtie^fJ$, in special cases.
Amalgamated algebra along an ideal,$J$-Noetherian,complete comaximal factorization,pseudo-irreducible ideal
http://jmmrc.uk.ac.ir/article_1765.html
http://jmmrc.uk.ac.ir/article_1765_5047f0f0011e4dbf06b1ed7894b5a0d4.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2645-4505
6
1
2017
05
01
Generalization of general helices and slant helices
25
41
EN
Ahmet
T.
Ali
Al-Azhar University
atali71@yahoo.com
10.22103/jmmrc.2017.10467.1042
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{slant-slant 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, anti-salkowski 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{slant-slant} helices by means of intrinsic equations. Finally, the parametric representation and the intrinsic equations of textit{Slakowski slant-slant} and textit{Anti-Slakowski slant-slant} helices have been given.
General helix,Slant helix,Slant-slant helix,$k$-slant helix
http://jmmrc.uk.ac.ir/article_1766.html
http://jmmrc.uk.ac.ir/article_1766_4a8db87498af8c340796d2679f0dcff1.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2645-4505
6
1
2017
05
01
Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation
43
56
EN
Sajjad
Eskandar
Department of mathematics, Factually of science, Vali-e-Asr university of Rafsanjan, Iran
s_eskandar66@yahoo.com
Sayad Mohammad
Hoseini
Department of Mathematics, Factually of Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
hoseini@uow.edu.au
10.22103/jmmrc.2017.10555.1044
In the present paper we develop the soliton perturbation theory to find nearly soliton solutions for a perturbed higher-order nonlinear Schr¨odinger (PHNLS) equation. An integral expression for the first-order correction to the wave is found and to avoid the secular terms, the dynamical systems for the soliton parameters are found.
higher-order Schrödinger equation,IST,soliton perturbation theory,squared eigenfunctions
http://jmmrc.uk.ac.ir/article_1767.html
http://jmmrc.uk.ac.ir/article_1767_73d9398ca6b8b96c978a0713e940560d.pdf