Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Euler operators and conservation laws of the BBM equation

Peter J. Olvera1

a1 University of Oxford


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.

(Received February 28 1978)