Euler operators and conservation laws of the BBM equation
- 1 January 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 85 (1), 143-160
- https://doi.org/10.1017/s0305004100055572
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.Keywords
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