Multi-Hamiltonian structure of the Born-Infeld equation

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

Multi-Hamiltonian structure of the Born-Infeld equation

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

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

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
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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title = "Multi-Hamiltonian structure of the Born-Infeld equation",

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. {\textcopyright} 1989 American Institute of Physics.",

author = "Metin Arik and Fahr{\"u}nisa Neyzi and Yavuz Nutku and Olver, {Peter J.} and Verosky, {John M}",

year = "1989",

language = "English",

volume = "30",

pages = "1338--1344",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "6",

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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 -