Construction of alternative Hamiltonian structures for field equations

Mauricio Herrera, Sergio A. Hojman

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We use symmetry vectors of nonlinear field equations to build alternative Hamiltonian structures. We construct such structures even for equations which are usually believed to be non-Hamiltonian such as heat, Burger and potential Burger equations. We improve on a previous version of the approach using recursion operators to increase the rank of the Poisson bracket matrices. Cole-Hopf and Miura-type transformations allow the mapping of these structures from one equation to another.

Original languageEnglish
Pages (from-to)6135-6141
Number of pages7
JournalJournal of Physics A: Mathematical and General
Issue number31
StatePublished - 10 Aug 2001


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