Email this article The Bäcklund Transform and a New Exact Solution of the Born–Infeld Model
- Authors: Gutshabash E.S.1, Kulish P.P.2
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Affiliations:
- The Bonch-Bruevich St.Petersburg State University of Telecommunications
- St.Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 238, No 6 (2019)
- Pages: 854-861
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242610
- DOI: https://doi.org/10.1007/s10958-019-04280-3
- ID: 242610
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Abstract
We present the Lagrangian and Hamiltonian of the Born–Infeld model in Cartesian and light cone variables. Using the auto-Bäcklund transformation, we construct new solutions of the corresponding nonlinear equation. In particular, a “dressed” Barbashov–Chernikov solution is obtained. Bibliography: 18 titles.
About the authors
E. Sh. Gutshabash
The Bonch-Bruevich St.Petersburg State University of Telecommunications
Author for correspondence.
Email: gutshab@EG2097.spb.edu
Russian Federation, St.Petersburg
P. P. Kulish
St.Petersburg Department of the Steklov Mathematical Institute
Email: gutshab@EG2097.spb.edu
Russian Federation, St.Petersburg
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