Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
- 1 March 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (3), 952-960
- https://doi.org/10.1063/1.1665232
Abstract
The conservation laws derived in an earlier paper for the Korteweg‐deVries equation are proved to be the only ones of polynomial form. An algebraic operator formalism is developed to obtain explicit formulas for them.Keywords
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