Unidirectionalization of hamiltonian waves

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We show how the restriction of certain bidirectional hamiltonian systems modelling nonlinear, one-dimensional wave propagation to waves moving in a single direction preserves the hamiltonian structure, even though the perturbation expansion of the bidirectional hamiltonian is not correct. A combination of the two approaches of direct hamiltonian perturbation theory and the method of multiple scales helps explain the apperance of integrable bihamiltonian wave models.

Original languageEnglish (US)
Pages (from-to)501-506
Number of pages6
JournalPhysics Letters A
Issue number8-9
StatePublished - Jan 25 1988

Bibliographical note

Funding Information:
’ Research supported in part by NSF Grant DMS 86-02004 and NATO Collaborative Research Grant RG 86/0055.

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