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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Cite this
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.