Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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. Barbashova, G. S. Sharovb

a Joint Institute for Nuclear Research
b Tver State University
References:
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
\Bibitem{BarSha94}
\by B.~M.~Barbashov, G.~S.~Sharov
\paper Initial-boundary problem for the relativistic string with massive ends
\jour TMF
\yr 1994
\vol 101
\issue 2
\pages 253--271
\mathnet{http://mi.mathnet.ru/tmf1683}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348388}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 2
\pages 1332--1345
\crossref{https://doi.org/10.1007/BF01018281}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QY17400008}
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:
    1. S. V. Talalov, “An anyon model”, Theoret. and Math. Phys., 165:2 (2010), 1517–1526  mathnet  crossref  crossref  isi
    2. Sharov G.S., “Instability of the Y string baryon model within classical dynamics”, Physics of Atomic Nuclei, 65:5 (2002), 906–916  crossref  adsnasa  isi
    3. Inopin A., Sharov G.S., “Hadronic Regge trajectories: Problems and approaches”, Phys. Rev. D, 63:5 (2001), 054023, 10 pp.  crossref  adsnasa  isi
    4. Sharov G.S., “Quasirotational motions and stability problem in the dynamics of string hadron models”, Phys. Rev. D, 62:9 (2000), 094015, 13 pp.  crossref  adsnasa  isi
    5. G. S. Sharov, “Classification of rotational motions for the baryon model “triangle””, Theoret. and Math. Phys., 114:2 (1998), 220–234  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. Sharov G.S., “String baryonic model “triangle”: Hypocycloidal solutions and the Regge trajectories”, Phys. Rev. D, 58:11 (1998), 114009, 11 pp.  crossref  adsnasa  isi
    7. G. S. Sharov, “String barionic model “triangle””, Theoret. and Math. Phys., 113:1 (1997), 1263–1276  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. 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  mathnet  mathscinet  zmath
    9. G. S. Sharov, “Analogs of Fourier series for a relativistic string model with massive ends”, Theoret. and Math. Phys., 107:1 (1996), 487–498  mathnet  crossref  crossref  mathscinet  zmath  isi
    10. 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  mathnet  crossref  crossref  mathscinet  zmath  isi
    11. 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  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:456
    Full-text PDF :140
    References:71
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025