2018-01-18T05:02:09Z
http://jmmrc.uk.ac.ir/?_action=export&rf=summon&issue=267
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
6
1
Contributions to differential geometry of spacelike curves in Lorentzian plane L2
YASIN
UNLUTURK
SUHA
YILMAZ
MURADIYE
CIMDIKER
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
2017
05
01
1
12
http://jmmrc.uk.ac.ir/article_1640_ba755e0999e153a3aa4ed06a2a0633f8.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
6
1
Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal
Esmaeil
Rostami
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
2017
05
01
13
24
http://jmmrc.uk.ac.ir/article_1765_5047f0f0011e4dbf06b1ed7894b5a0d4.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
6
1
Generalization of general helices and slant helices
Ahmet
Ali
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
2017
05
01
25
41
http://jmmrc.uk.ac.ir/article_1766_4a8db87498af8c340796d2679f0dcff1.pdf
Journal of Mahani Mathematical Research Center
J. Mahani Math. Res. Cent.
2251-7952
2251-7952
2017
6
1
Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation
Sajjad
Eskandar
Sayad Mohammad
Hoseini
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
2017
05
01
43
56
http://jmmrc.uk.ac.ir/article_1767_73d9398ca6b8b96c978a0713e940560d.pdf