E. Sh. Gutshabash, P. P. Kulish, “New exact solutions of the Born–Infeld model”, Zap. Nauchn. Sem. POMI, 2017, Volume 465,Pages <nobr>135

This article is cited in 4 papers

New exact solutions of the Born–Infeld model

E. Sh. Gutshabash^ab, 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

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.

UDC: 517.9

Received: 21.11.2017