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This article is cited in 5 scientific papers (total in 5 papers)
Conservation laws and Bäcklund transformations associated with the Born–Infeld equation
O. F. Men'shikh S. P. Korolyov Samara State Aerospace University
Abstract:
For the Born–Infeld equation in the hyperbolic domain of its solutions, we obtain first-order conservation laws depending on two arbitrary functions. It is shown that each conservation law is related to some Bäcklund transformation that transforms the Born–Infeld equation into some related equation.
Received: 27.02.2004
Citation:
O. F. Men'shikh, “Conservation laws and Bäcklund transformations associated with the Born–Infeld equation”, Mat. Zametki, 77:4 (2005), 551–565; Math. Notes, 77:4 (2005), 510–522
Linking options:
https://www.mathnet.ru/eng/mzm2517https://doi.org/10.4213/mzm2517 https://www.mathnet.ru/eng/mzm/v77/i4/p551
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