Constants and pseudo-constants of the Kadomtsev-Petviashvili equation
- 1 August 1985
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 82 (16) , 5242-5245
- https://doi.org/10.1073/pnas.82.16.5242
Abstract
Elucidating earlier work, it is shown that the Kadomtsev-Petviashvili equation has n + 2 constants for all n >/= 0. It also has a pseudo-constant from which the constants can be obtained by differentiation with respect to time. The pseudo-constant can be obtained from a basis functional J(n) ((n+2)) = -1/18 [unk] y(n+2)q by taking repeated Poisson brackets with the Hamiltonian.Keywords
This publication has 1 reference indexed in Scilit:
- A theorem about Hamiltonian systemsProceedings of the National Academy of Sciences, 1984