### 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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### Cite this

*Journal of Mathematical Physics*,

*30*(6), 1338-1344.

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*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.

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 -