Euler operators and conservation laws of the BBM equation

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

228 Scopus citations


The BBM or Regularized Long Wave Equation is shown to possess only three non-trivial independent conservation laws. In order to prove this result, a new theory of Euler-type operators in the formal calculus of variations will be developed in detail.

Original languageEnglish (US)
Pages (from-to)143-160
Number of pages18
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number1
StatePublished - Jan 1979


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