Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws

1970201 citationsJournal Article

Authors

Martin D. Kruskal · Princeton Plasma Physics Laboratory

Clifford S. Gardner · Princeton Plasma Physics Laboratory

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.

Topics & Keywords

Nonlinear Waves and Solitons High-pressure geophysics and materials Quantum chaos and dynamical systems

UN Sustainable Development Goals

Life in Land

Publication Details

Published in: Journal of Mathematical Physics

Volume 11, Issue 3, pp. 952-960

DOI: 10.1063/1.1665232

Field-Weighted Citation Impact: 8.73