Multi-Hamiltonian structure of the Born-Infeld equation

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

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1338-1344
Number of pages7
JournalJournal of Mathematical Physics
Volume30
Issue number6
DOIs
StatePublished - Jan 1 1989

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