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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 520, Pages 151–161 (Mi znsl7316)  
Legendre transformation in Born–Infeld models, Monge–Ampere equation and exact solutions

E. Sh. Gutshabash

St. Petersburg State University of Telecommunications
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Abstract: Gutshabash E. Sh. Legendre transformation in Born–Infeld models, Monge–Ampere equation and exact solutions. Exact solutions of the equation obtained by applying the Legendre transformation to the Born–Infeld equation are constructed, and the quasilinear system arising in connection with this transformation is investigated. Based on the linearization of the Monge–Ampere equation, some of its particular solutions are calculated.
Key words and phrases: Born–Infeld equation, Legendre transformation, characteristics, Monge–Ampere equation, the Cauсhy problem, exact solutions.
Received: 06.06.2023
Document Type: Article
UDC: 517
Language: Russian
Citation: E. Sh. Gutshabash, “Legendre transformation in Born–Infeld models, Monge–Ampere equation and exact solutions”, Questions of quantum field theory and statistical physics. Part 29, Zap. Nauchn. Sem. POMI, 520, POMI, St. Petersburg, 2023, 151–161
Citation in format AMSBIB
\Bibitem{Gut23}
\by E.~Sh.~Gutshabash
\paper Legendre transformation in Born--Infeld models, Monge--Ampere equation and exact solutions
\inbook Questions of quantum field theory and statistical physics. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 520
\pages 151--161
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7316}
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