Contributions to differential geometry of spacelike curves in Lorentzian plane L2
YASIN
UNLUTURK
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
author
SUHA
YILMAZ
BUCA FACULTY OF EDUCATION,
DOKUZ EYLUL UNIVERSITY, 35150, BUCA-IZMIR, TURKEY,
author
MURADIYE
CIMDIKER
DEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
author
text
article
2017
eng
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 $\mathbb{L}^{2}.$
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
6
v.
1
no.
2017
1
12
http://jmmrc.uk.ac.ir/article_1640_ba755e0999e153a3aa4ed06a2a0633f8.pdf
dx.doi.org/10.22103/jmmrc.2017.1640
Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal
Esmaeil
Rostami
Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
6
v.
1
no.
2017
13
24
http://jmmrc.uk.ac.ir/article_1765_5047f0f0011e4dbf06b1ed7894b5a0d4.pdf
dx.doi.org/10.22103/jmmrc.2017.10782.1046
Generalization of general helices and slant helices
Ahmet
Ali
Al-Azhar University
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
6
v.
1
no.
2017
25
41
http://jmmrc.uk.ac.ir/article_1766_4a8db87498af8c340796d2679f0dcff1.pdf
dx.doi.org/10.22103/jmmrc.2017.10467.1042
Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation
Sajjad
Eskandar
Department of mathematics, Factually of science, Vali-e-Asr university of Rafsanjan, Iran
author
Sayad Mohammad
Hoseini
Department of Mathematics, Factually of Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
6
v.
1
no.
2017
43
56
http://jmmrc.uk.ac.ir/article_1767_73d9398ca6b8b96c978a0713e940560d.pdf
dx.doi.org/10.22103/jmmrc.2017.10555.1044