Multi‐Hamiltonian structure of the Born–Infeld equation

The multi‐Hamiltonian structure, conservation laws, and higher order symmetries for the Born–Infeld equation are exhibited. A new transformation of the Born‐Infeld equation to the equations of a Chaplygin gas is presented and explored. The Born–Infeld equation is distinguished among two‐dimensional...

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Veröffentlicht in:	Journal of mathematical physics 1989-06, Vol.30 (6), p.1338-1344
Hauptverfasser:	Arik, Metin, Neyzi, Fahrünisa, Nutku, Yavuz, Olver, Peter J., Verosky, John M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Function theory, analysis Mathematical methods in physics Physics
Online-Zugang:	Volltext
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Zusammenfassung:	The multi‐Hamiltonian structure, conservation laws, and higher order symmetries for the Born–Infeld equation are exhibited. A new transformation of the Born‐Infeld equation to the equations of a Chaplygin gas is presented and explored. The Born–Infeld equation is distinguished among two‐dimensional hyperbolic systems by its wealth of such multi‐Hamiltonian structures.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.528314