Poincar integral invariant and conserved quantity of Toda lattice systems

Sasa, Narimasa

Numerical properties of the Poincar integral invariant of the Toda lattice systems are investigated based on the discrete Fourier interpolation method. In the 1D Toda lattice, we show that the Poincar integral invariant is conserved in a finite time interval in a symplectic time integration. In contrast, a conserved quantity of the 2D Toda lattice is conserved for a long time interval because of the interaction perpendicular to the lattice direction.

Language	:	English
Journal	:	JSIAM Letters
Volume	:	14
Number	:
Pages	:	p.88 - 91
Publication Year/Month	:	2022/00
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Paper URL	:	https://doi.org/10.14495/jsiaml.14.88
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Keywords	:	no keyword
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Registration No. : AA20220230
JAEA Abstracts No. : 51000446
Paper Submission No. : 26375

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