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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 465, Pages 135–146 (Mi znsl6534)  
This article is cited in 4 scientific papers (total in 4 papers)

New exact solutions of the Born–Infeld model

E. Sh. Gutshabashab, P. P. Kulish

a St. Petersburg State University of Telecommunications, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (177 kB) Citations (4)
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Abstract: The Lagrangian and Hamiltonian of the Born–Infeld model in the cartesian as well in the light cone variables are given. Using the auto-Backlund transformation the new solutions of the corresponding nonlinear equation are constructed. In particular, the “dressed” Barbashov–Chernikov's solution is obtained.
Key words and phrases: Born–Infeld model, Backlund transformation, exact solutions, the “dressed” Barbasov–Chernikov's solution.
Received: 21.11.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 6, Pages 854–861
DOI: https://doi.org/10.1007/s10958-019-04280-3
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, P. P. Kulish, “New exact solutions of the Born–Infeld model”, Questions of quantum field theory and statistical physics. Part 24, Zap. Nauchn. Sem. POMI, 465, POMI, St. Petersburg, 2017, 135–146; J. Math. Sci. (N. Y.), 238:6 (2019), 854–861
Citation in format AMSBIB
\Bibitem{GutKul17}
\by E.~Sh.~Gutshabash, P.~P.~Kulish
\paper New exact solutions of the Born--Infeld model
\inbook Questions of quantum field theory and statistical physics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 465
\pages 135--146
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6534}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 6
\pages 854--861
\crossref{https://doi.org/10.1007/s10958-019-04280-3}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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