Multi-Hamiltonian structure of the Born-Infeld equation

Metin Arik, Fahrünisa Neyzi, Yavuz Nutku, Peter J. Olver, John M Verosky

Research output: Contribution to journalArticle

Abstract

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. © 1989 American Institute of Physics.

Original languageEnglish
Pages (from-to)1338-1344
Number of pages7
JournalJournal of Mathematical Physics
Volume30
Issue number6
Publication statusPublished - 1989

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hyperbolic systems
conservation laws
physics
symmetry
gases

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Arik, M., Neyzi, F., Nutku, Y., Olver, P. J., & Verosky, J. M. (1989). Multi-Hamiltonian structure of the Born-Infeld equation. Journal of Mathematical Physics, 30(6), 1338-1344.
Arik, Metin ; Neyzi, Fahrünisa ; Nutku, Yavuz ; Olver, Peter J. ; Verosky, John M. / Multi-Hamiltonian structure of the Born-Infeld equation. In: Journal of Mathematical Physics. 1989 ; Vol. 30, No. 6. pp. 1338-1344.
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Arik, M, Neyzi, F, Nutku, Y, Olver, PJ & Verosky, JM 1989, 'Multi-Hamiltonian structure of the Born-Infeld equation', Journal of Mathematical Physics, vol. 30, no. 6, pp. 1338-1344.

Multi-Hamiltonian structure of the Born-Infeld equation. / Arik, Metin; Neyzi, Fahrünisa; Nutku, Yavuz; Olver, Peter J.; Verosky, John M.

In: Journal of Mathematical Physics, Vol. 30, No. 6, 1989, p. 1338-1344.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Multi-Hamiltonian structure of the Born-Infeld equation

AU - Arik, Metin

AU - Neyzi, Fahrünisa

AU - Nutku, Yavuz

AU - Olver, Peter J.

AU - Verosky, John M

PY - 1989

Y1 - 1989

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AB - 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. © 1989 American Institute of Physics.

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 6

ER -

Arik M, Neyzi F, Nutku Y, Olver PJ, Verosky JM. Multi-Hamiltonian structure of the Born-Infeld equation. Journal of Mathematical Physics. 1989;30(6):1338-1344.