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Dive into the research topics where Noriko Saitoh is active.

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Featured researches published by Noriko Saitoh.


Journal of Mathematical Physics | 1987

Gauge and Dual Symmetries and Linearization of Hirota's Bilinear Equations

Satoru Saito; Noriko Saitoh

In Hirota’s [Hiroshima University Technical Report Nos. A 6, A 9, 1981; J. Phys. Soc. Jpn. 50, 3785 (1981)] bilinear difference equation which is satisfied by solutions to the Kadomtsev–Petviashvili (KP) hierarchy, gauge and dual symmetries are found, which enable one to reduce the problem of solving the nonlinear equation to solving a single linear equation.


Journal of the Physical Society of Japan | 1980

A Transformation Connecting the Toda Lattice and the K-dV Equation

Noriko Saitoh

A generalized equation is derived from the Toda lattice by a transformation of variables including a characteristic parameter h . The equation reduces to the original Toda lattice for the value h =1, while to the K-dV equation at the limiting value h =0. Soliton solutions of the equation are obtained by the inverse scattering method, reproducing the corresponding solution of the K-dV equation in every step of the calculation.


Journal of the Physical Society of Japan | 1983

The Classical Specific Heat of the Exponential Lattice

Morikazu Toda; Noriko Saitoh

The classical specific heat of the exponential lattice at constant length is derived and its asymptotic behaviours are studied.


Journal of the Physical Society of Japan | 1982

Experiment on Lattice Soliton by Nonlinear LC Circuit –Observation of a Dark Soliton

Keiichi Muroya; Noriko Saitoh; Shinsuke Watanabe

We examine the propagation of a dark soliton in a nonlinear LC circuit which is equivalent to the Toda lattice. At first, we derive the nonlinear Schrodinger equation to describe a nonlinear wave of strong dispersion. It is shown theoretically that the wave of envelope is modulationally stable and propagates as a dark soliton, if the circuit is equivalent to the Toda lattice. In the experiment, it is confirmed that the dark soliton is generated from an initial wave and propagates stably in the circuit. The width of the soliton agrees with the theory.


Journal of the Physical Society of Japan | 2001

A Characterization of Discrete Time Soliton Equations

Satoru Saito; Noriko Saitoh; Jun-ichi Yamamoto; Katsuhiko Yoshida

We propose a method to characterize discrete time evolution equations, which generalize discrete time soliton equations, including the q -difference Painleve IV equations discussed recently [K. Kaj...


Journal of the Physical Society of Japan | 1986

Linearization of Multi-Dimensional Toda Lattice and Bäcklund Transformation

Noriko Saitoh

An infinite number of linear differential equations whose solutions satisfy multi-dimensional Toda lattice (MDTL) equation are found. The coefficients of any of these linear equations are given by a solution of MDTL equation, thus the equation provides a kind of linear Backlund transformation of the NDTL equation.


Journal of the Physical Society of Japan | 2007

Invariant Varieties of Periodic Points for Some Higher Dimensional Integrable Maps

Satoru Saito; Noriko Saitoh

By studying various rational integrable maps on \(\hat{\mathbf{C}}^{d}\) with p invariants, we show that periodic points form an invariant variety of dimension ≥ p for each period, in contrast to t...


Journal of Physics A | 2007

On recurrence equations associated with invariant varieties of periodic points

Satoru Saito; Noriko Saitoh

A recurrence equation is a discrete integrable equation whose solutions are all periodic and the period is fixed. We show that infinitely many recurrence equations can be derived from the information about invariant varieties of periodic points of higher dimensional integrable maps.


Journal of the Physical Society of Japan | 1985

Solutions of two- and three-dimensional Toda lattice equations in terms of various forms of Bessel functions

Noriko Saitoh; Shozo Takeno; Ei Iti Takizawa

New solutions of two- and three-(space)-dimensional generalized Toda lattice equations are given. The solutions are written by various forms of Bessel functions, and their properties are discussed in relation to cylindrical and spherical nonlinear modes in the systems. A discussion is also given to another type of nonlinear difference-differential equations, having the form of a generalized version of higher dimensional Toda lattice equation and exhibiting spherical nonlinear modes.


Journal of Physics A | 1997

Complex analysis of a piece of Toda lattice

Satoru Saito; Noriko Saitoh; Hisao Konuma; Katsuhiko Yoshida

We study a small piece of two-dimensional Toda lattice as a complex dynamical system. In particular, it is shown analytically how the Julia set, which appears when the piece is deformed, disappears as the system approaches the integrable limit.

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Satoru Saito

Yokohama National University

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Akinobu Shimizu

Yokohama National University

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Shozo Takeno

Osaka Institute of Technology

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Yasuaki Narita

Tokyo Metropolitan University

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Shinsuke Watanabe

Yokohama National University

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Hiromitsu Harada

Tokyo Metropolitan University

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Hisao Konuma

Tokyo Metropolitan University

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Jun-ichi Yamamoto

Tokyo Metropolitan University

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S Saito

Yokohama National University

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