@Article{UNLUTURK2017,
author="UNLUTURK, YASIN
and YILMAZ, SUHA
and CIMDIKER, MURADIYE",
title="Contributions to differential geometry of spacelike curves in Lorentzian plane L2",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="6",
number="1",
pages="1-12",
abstract="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 $\mathbb{L}^{2}.$",
issn="2251-7952",
doi="10.22103/jmmrc.2017.1640",
url="http://jmmrc.uk.ac.ir/article_1640.html"
}
@Article{Rostami2017,
author="Rostami, Esmaeil",
title="Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="6",
number="1",
pages="13-24",
abstract="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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.10782.1046",
url="http://jmmrc.uk.ac.ir/article_1765.html"
}
@Article{Ali2017,
author="Ali, Ahmet T.",
title="Generalization of general helices and slant helices",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="6",
number="1",
pages="25-41",
abstract="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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.10467.1042",
url="http://jmmrc.uk.ac.ir/article_1766.html"
}
@Article{Eskandar2017,
author="Eskandar, Sajjad
and Hoseini, Sayad Mohammad",
title="Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation",
journal="Journal of Mahani Mathematical Research Center",
year="2017",
volume="6",
number="1",
pages="43-56",
abstract="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.",
issn="2251-7952",
doi="10.22103/jmmrc.2017.10555.1044",
url="http://jmmrc.uk.ac.ir/article_1767.html"
}