Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79526120170501Contributions to differential geometry of spacelike curves in Lorentzian plane L2112164010.22103/jmmrc.2017.1640ENYASINUNLUTURKDEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,SUHAYILMAZBUCA FACULTY OF EDUCATION,
DOKUZ EYLUL UNIVERSITY, 35150, BUCA-IZMIR, TURKEY,MURADIYECIMDIKERDEPARTMENTS OF MATHEMATICS,
KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,Journal Article20170329In 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 $\mathbb{L}^{2}.$Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79526120170501Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal1324176510.22103/jmmrc.2017.10782.1046ENEsmaeilRostamiDepartment of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20170817Let $f : A rightarrow B$ 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.Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79526120170501Generalization of general helices and slant helices2541176610.22103/jmmrc.2017.10467.1042ENAhmet T.AliAl-Azhar UniversityJournal Article20170614In 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.Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79526120170501Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation4356176710.22103/jmmrc.2017.10555.1044ENSajjadEskandarDepartment of mathematics, Factually of science, Vali-e-Asr university of Rafsanjan, IranSayad MohammadHoseiniDepartment of Mathematics, Factually of Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, IranJournal Article20170704In the present paper we develop the soliton perturbation theory to<br /> find nearly soliton solutions for a perturbed higher-order nonlinear Schr¨odinger<br /> (PHNLS) equation. An integral expression for the first-order correction to the<br /> wave is found and to avoid the secular terms, the dynamical systems for the<br /> soliton parameters are found.