Geodesic
Analogs of Fourier series for a relativistic string model with massive ends
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 86-99 
G. S. Sharov. Analogs of Fourier series for a relativistic string model with massive ends. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 86-99. http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a7/
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     author = {G. S. Sharov},
     title = {Analogs of {Fourier} series for a~relativistic string model with massive ends},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A description of motions of a relativistic string with massive ends (for the model with a finite mass on the first end and infinite one on the second end) is proposed. This approach uses the expansion of the string world surface in a series that doesn't reduce to the usual Fourier series due to nonlinearity of the problem. A state equation of the string resultes from the mass shell condition of its end. World surfaces of this string, on which linearization of a boundary condition due to natural parametrization of moving end trajectory is possible, are classified. The set of such world surfaces is shown to be limited in particular in 2+1- and 3+1-dimensional Minkowski spaces all of them reduce to the helicoid.

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