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 language | English |
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Pages (from-to) | 1338-1344 |
Number of pages | 7 |
Journal | Journal of Mathematical Physics |
Volume | 30 |
Issue number | 6 |
Publication status | Published - 1989 |
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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 journal › Article
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
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=36549094958&partnerID=8YFLogxK
M3 - Article
VL - 30
SP - 1338
EP - 1344
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 6
ER -