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Euler operators and conservation laws of the BBM equation

Published online by Cambridge University Press:  24 October 2008

Peter J. Olver
Affiliation:
University of Oxford

Abstract

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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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