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Matematicheskie Zametki, 2008, Volume 84, Issue 6, Pages 874–881
DOI: https://doi.org/10.4213/mzm4443 (Mi mzm4443) 		 
Conservation Laws of Second Order for the Born–Infeld Equation and Other Related Equations

O. F. Men'shikh

S. P. Korolyov Samara State Aerospace University
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DOI: https://doi.org/10.4213/mzm4443
Abstract: We describe a class of quasilinear partial differential equations of second order with two independent variables in the general case of mixed type for which we construct conservation laws of second order which are quadratic with respect to the second derivatives. As examples, we present similar conservation laws for the Born–Infeld equation, for the equations of minimal and maximal surfaces in Minkowski space, and for the classical equation of minimal surfaces.
Keywords: quasilinear partial differential equation, Born–Infeld equation, conservation laws of second order, Minkowski space, Abel equation, Laplace equation.
Received: 06.12.2005
English version:
Mathematical Notes, 2008, Volume 84, Issue 6, Pages 814–820
DOI: https://doi.org/10.1134/S0001434608110242
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: O. F. Men'shikh, “Conservation Laws of Second Order for the Born–Infeld Equation and Other Related Equations”, Mat. Zametki, 84:6 (2008), 874–881; Math. Notes, 84:6 (2008), 814–820
Citation in format AMSBIB
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