The Hamilton-Jacobi difference equation

Nissim Elnatanov; J. Schiff

The Hamilton-Jacobi difference equation

Nissim Elnatanov
, J. Schiff

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R^(2m). In particular, we construct a differential-difference equation which we call the Hamilton-Jacobi difference equation, the analog of the Hamilton-Jacobi equation for our discrete system. We solve the HamiltonJacobi difference equation in a simple case.

Original language	American English
Pages (from-to)	279-286
Journal	Functional Differential Equations
Volume	3
Issue number	3-4
State	Published - 1996

Cite this

@article{a0ccd6b1a1de43838bc451df753c2aca,

title = "The Hamilton-Jacobi difference equation",

abstract = "We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R\textasciicircum{}(2m). In particular, we construct a differential-difference equation which we call the Hamilton-Jacobi difference equation, the analog of the Hamilton-Jacobi equation for our discrete system. We solve the HamiltonJacobi difference equation in a simple case.",

author = "Nissim Elnatanov and J. Schiff",

year = "1996",

language = "American English",

volume = "3",

pages = "279--286",

journal = "Functional Differential Equations",

number = "3-4",

}

TY - JOUR

T1 - The Hamilton-Jacobi difference equation

AU - Elnatanov, Nissim

AU - Schiff, J.

PY - 1996

Y1 - 1996

N2 - We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R^(2m). In particular, we construct a differential-difference equation which we call the Hamilton-Jacobi difference equation, the analog of the Hamilton-Jacobi equation for our discrete system. We solve the HamiltonJacobi difference equation in a simple case.

AB - We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R^(2m). In particular, we construct a differential-difference equation which we call the Hamilton-Jacobi difference equation, the analog of the Hamilton-Jacobi equation for our discrete system. We solve the HamiltonJacobi difference equation in a simple case.

UR - http://functionaldifferentialequations.com/index.php/fde/article/view/544

M3 - Article

VL - 3

SP - 279

EP - 286

JO - Functional Differential Equations

JF - Functional Differential Equations

IS - 3-4

ER -

The Hamilton-Jacobi difference equation

Abstract

Other files and links

Fingerprint

Cite this