YASIN UNLUTURK - DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, ۳۹۱۰۰ KIRKLARELI, TURKEY,
‎SUHA YILMAZ - BUCA FACULTY OF EDUCATION, DOKUZ EYLUL UNIVERSITY, ۳۵۱۵۰, BUCA-IZMIR, TURKEY,
MURADIYE CIMDIKER - DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, ۳۹۱۰۰ KIRKLARELI, TURKEY,

‎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