Geodesic
New exact solutions of the Born--Infeld model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 24, Tome 465 (2017), pp. 135-146

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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. 
@article{ZNSL_2017_465_a7,
     author = {E. Sh. Gutshabash and P. P. Kulish},
     title = {New exact solutions of the {Born--Infeld} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {135--146},
     publisher = {mathdoc},
     volume = {465},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a7/}
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E. Sh. Gutshabash; P. P. Kulish. New exact solutions of the Born--Infeld model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 24, Tome 465 (2017), pp. 135-146. http://geodesic.mathdoc.fr/item/ZNSL_2017_465_a7/