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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.35 no.2 (2008), pp. 079-094
The Neumann-Rosochatius Integrable System and Multi-Spin Single Spike String Solutions on R×S5. Part I
H. Dimov1, R.C. Rashkov1,2
1Faculty of Physics, University of Sofia, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria
2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria
go back1Faculty of Physics, University of Sofia, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria
2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria
Abstract. We study rigid string solutions rotating in AdS5×S5 background. For particular values of the parameters of the solutions we find multi-spin solutions corresponding to giant magnons and single spike strings. We present an analysis of the dispersion relations in the case of three-spin solutions distributed only in S5. The possible relation of these string solutions to gauge theory operators and spin chains are briefly discussed. We find the solutions to the resulting Neumann-Rosochatius integrable system.