Constants and pseudo-constants of the Kadomtsev-Petviashvili equation

K M Case

doi:10.1073/pnas.82.16.5242

Constants and pseudo-constants of the Kadomtsev-Petviashvili equation

Proc Natl Acad Sci U S A. 1985 Aug;82(16):5242-5. doi: 10.1073/pnas.82.16.5242.

Author

K M Case¹

Affiliation

¹ Department of Physics, The Rockefeller University, New York, NY 10021.

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.