Geometry of Hasimoto Surfaces in Minkowski 3-Space
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Ding, Q., Inoguchi, J.: Schrödinger flows, binormal motion for curves and second AKNS-hierarchies. Chaos, Solitons Fractals 21, 669–677 (2004)
Fujika, A., Inoguchi, J.: Spacelike surfaces with harmonic inverse mean curvature. J. Math. Sci. Univ. Tokyo 7, 657–698 (2000)
Gürbüz, N.: Intrinstic Geometry of NLS Equation and Heat System in 3- Dimensional Minkowski Space. Adv. Stud. Theor. 4, 557–564 (2010)
Gürbüz, N.: The Motion of Timelike Surfaces in Timelike Geodesic Coordinates. Int. J. Math. Anal. 4 (2010)
Inoguchi, J.: Timelike surfaces of constant mean curvaturein Minkowski 3-space. Tokyo J. Math. 21, 141–152 (1998)
Inoguchi, J.: Biharmonic curves in Minkowski 3-space. Int. J. Matehmatics Math. Sci. 21, 1365–1368 (2003)
Özdemir, M., Ergin, A.A.: Rotations with unit timelike quaternions in Minkowski 3-space. J. Geom. Phys. 56, 322–336 (2006)
Özdemir, M., Ergin, A.A.: Parallel Frames of Non-Lightlike Curves. Missouri J. Math. Sci. 20, 127–137 (2008)
Rogers, C., Schief, W. K.: Intrinsic geometry of the NLS equation and its backlund transformation. Stud. Appl. Math. 101, 267–288 (1998)
Rogers, C., Schief, W.K.: Backlund and Darboux Transformations, Geometry of Modern Applications in Soliton Theory. Cambridge University Press (2002)