RUS  ENG
Full version
JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1988 Volume 75, Number 2, Pages 170–186 (Mi tmf4771)

This article is cited in 10 papers

Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. II

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov


Abstract: The concept of tangent vector is made more precise to meet the specific nature of the Sturm–Liouville problem, and on this basis a Poisson bracket that is modified compared with the Gardner form by special boundary terms is derived from the Zakharov–Faddeev symplectic form. This bracket is nondegenerate, and in it the variables of the discrete and continuous spectra are separated.

Received: 10.04.1987


 English version:
Theoretical and Mathematical Physics, 1988, 75:2, 448–460

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025