Relations among generalized Korteweg–deVries systems
- 1 April 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (4) , 721-725
- https://doi.org/10.1063/1.524114
Abstract
This report presents certain relations among the completely integrable Hamiltonian systems introduced by Gel’fand and Dikii. These relations generalize a formula of A. Lenard linking the higher‐order Korteweg–deVries equations, of which the Gel’fand–Dikii systems are a generalization. The general form of the relations, which connect the various isospectral deformations of linear differential operators, is described, and two examples are given explicitly.Keywords
This publication has 4 references indexed in Scilit:
- The spectrum of Hill's equationInventiones Mathematicae, 1975
- Korteweg‐devries equation and generalizations. VI. methods for exact solutionCommunications on Pure and Applied Mathematics, 1974
- Integrals of nonlinear equations of evolution and solitary wavesCommunications on Pure and Applied Mathematics, 1968
- Complex powers of an elliptic operatorPublished by American Mathematical Society (AMS) ,1967