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Matematicheskie Zametki, 2005, Volume 77, Issue 4, Pages 551–565
DOI: https://doi.org/10.4213/mzm2517 (Mi mzm2517) 		 
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
Full-text PDF (223 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm2517
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
English version:
Mathematical Notes, 2005, Volume 77, Issue 4, Pages 510–522
DOI: https://doi.org/10.1007/s11006-005-0051-x
Bibliographic databases:
UDC: 517.95
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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