B. M. Barbashov, G. S. Sharov, “Initial-boundary problem for the relativistic string with massive ends”, TMF, 101:2 (1994), 253–271; Theoret. and Math. Phys., 101:2 (1994), 1332

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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 2, Pages 253–271 (Mi tmf1683)

This article is cited in 11 scientific papers (total in 11 papers)

Initial-boundary problem for the relativistic string with massive ends

B. M. Barbashov^a, G. S. Sharov^b

^a Joint Institute for Nuclear Research
^b Tver State University

Full-text PDF (1520 kB) Citations (11)

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Abstract: It is shown that the initial-boundary-value problem for a relativistic string with masses at the ends can be solved for the most general form of specification of the initial position and initial velocities of the points of the string. An investigation is made of the connection between the freedom in the parametrization of the initial curve and the reparametrization invariance preserving linearity of the equations of motion of the string. The posed problem is solved by extending the solution determined by the initial conditions from the restricted initial region to the entire world surface of the string by means of boundary conditions of various types: the mass at a given end is equal to zero, is infinitely large, or is finite. In the last case it is shown that the problem of the extension reduces to the solution of a normal system of ordinary differential equations. Specific examples are considered.

Received: 01.07.1993

English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 2, Pages 1332–1345
DOI: https://doi.org/10.1007/BF01018281

Bibliographic databases:

Language: Russian

Citation: B. M. Barbashov, G. S. Sharov, “Initial-boundary problem for the relativistic string with massive ends”, TMF, 101:2 (1994), 253–271; Theoret. and Math. Phys., 101:2 (1994), 1332–1345

Citation in format AMSBIB

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\by B.~M.~Barbashov, G.~S.~Sharov

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\jour Theoret. and Math. Phys.

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\crossref{https://doi.org/10.1007/BF01018281}

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Linking options:

https://www.mathnet.ru/eng/tmf1683

https://www.mathnet.ru/eng/tmf/v101/i2/p253

This publication is cited in the following 11 articles:

S. V. Talalov, “An anyon model”, Theoret. and Math. Phys., 165:2 (2010), 1517–1526
Sharov G.S., “Instability of the $Y$ string baryon model within classical dynamics”, Physics of Atomic Nuclei, 65:5 (2002), 906–916
Inopin A., Sharov G.S., “Hadronic Regge trajectories: Problems and approaches”, Phys. Rev. D, 63:5 (2001), 054023, 10 pp.
Sharov G.S., “Quasirotational motions and stability problem in the dynamics of string hadron models”, Phys. Rev. D, 62:9 (2000), 094015, 13 pp.
G. S. Sharov, “Classification of rotational motions for the baryon model “triangle””, Theoret. and Math. Phys., 114:2 (1998), 220–234
Sharov G.S., “String baryonic model “triangle”: Hypocycloidal solutions and the Regge trajectories”, Phys. Rev. D, 58:11 (1998), 114009, 11 pp.
G. S. Sharov, “String barionic model “triangle””, Theoret. and Math. Phys., 113:1 (1997), 1263–1276
G. S. Sharov, “Solution of the initial boundary value problem for the relativistic string with massive ends”, Comput. Math. Math. Phys., 37:5 (1997), 590–601
G. S. Sharov, “Analogs of Fourier series for a relativistic string model with massive ends”, Theoret. and Math. Phys., 107:1 (1996), 487–498
V. P. Petrov, G. S. Sharov, “Classification of motions of a relativistic string with massive ends with linearizable boundary conditions”, Theoret. and Math. Phys., 109:2 (1996), 1388–1399
G. S. Sharov, “Determination of the world surface of a relativistic string from the trajectory of a massive end”, Theoret. and Math. Phys., 102:1 (1995), 109–115

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	71
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