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Indeterminate solutions of the p-ultradiscrete equation and leading term analysis

Japan journal of industrial and applied mathematics, 2023-05, Vol.40 (2), p.1341-1353

Isojima, Shin

2023

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Ultradiscrete hard-spring equation and its phase plane analysis

Japan journal of industrial and applied mathematics, 2023-05, Vol.40 (2), p.1083-1105

2023

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On exact solutions with periodic structure of the ultradiscrete Toda equation with parity variables

Journal of mathematical physics, 2014-09, Vol.55 (9)

Isojima, Shin

2014

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Ultradiscrete analogues of the hard-spring equation and its conserved quantity

Japan journal of industrial and applied mathematics, 2019-01, Vol.36 (1), p.53-78

2019

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Ultradiscrete analogue of the van der Pol equation

Nonlinearity, 2022-03, Vol.35 (3), p.1468-1484

2022

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Nonlinear Kalman filtering via ultradiscretization procedure

Japan journal of industrial and applied mathematics, 2016-02, Vol.33 (1), p.227-238

2016

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Direct ultradiscretization of Ai and Bi functions and special solutions for the Painlevé II equation

Journal of physics. A, Mathematical and theoretical, 2012-04, Vol.45 (15), p.155203-13

2012

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Tropical Krichever construction for the non-periodic box and ball system

Journal of physics. A, Mathematical and theoretical, 2012-10, Vol.45 (39), p.395202-14

2012

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Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables

Japan journal of industrial and applied mathematics, 2017-08, Vol.34 (2), p.343-372

Isojima, Shin

2017

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A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

Symmetry, integrability and geometry, methods and applications, 2011-07, Vol.7, p.074

Isojima, Shin

2011

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A discrete logarithmic function and Lyapunov function

JSIAM Letters, 2022, Vol.14, pp.139-142

2022

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New Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables

Journal of physics. A, Mathematical and theoretical, 2016-04, Vol.49 (14), p.145207

2016

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Nonlinear Kalman filtering via ultradiscretization procedure

Japan journal of industrial and applied mathematics, 2016-02, Vol.33 (1), p.227-238

2016

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Ultradiscrete Painlevé II equation and a special function solution

Journal of physics. A, Mathematical and theoretical, 2011-04, Vol.44 (17), p.175201-10

2011

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Ultradiscrete optimal velocity model: A cellular-automaton model for traffic flow and linear instability of high-flux traffic

Physical review. E, Statistical, nonlinear, and soft matter physics, 2009-05, Vol.79 (5), Article 056108

2009

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On oscillatory solutions of the ultradiscrete Sine-Gordon equation

JSIAM Letters, 2009, Vol.1, pp.25-27

2009

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On various solutions of the coupled KP equation

Journal of physics. A, Mathematical and general, 2002-08, Vol.35 (32), p.6893-6909, Article 309

2002

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Ultradiscrete optimal velocity model: a cellular-automaton model for traffic flow and linear instability of high-flux traffic

Physical review. E, Statistical, nonlinear, and soft matter physics, 2009-05, Vol.79 (5 Pt 2), p.056108-056108

2009

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Spider-web solutions of the coupled KP equation

Journal of physics. A, Mathematical and general, 2003-09, Vol.36 (36), p.9533-9552

2003

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Transmission of Y chromosomal microdeletions from father to son through intracytoplasmic sperm injection

Journal of human genetics, 2002-01, Vol.47 (9), p.465-468

2002

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Unusual Cytologic Findings in Low Grade Papillary Transitional Cell Carcinoma

Acta cytologica, 2004-07, Vol.48 (4), p.492-496

2004

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Assisted reproduction for infertile patients with 9+0 immotile spermatozoa associated with autosomal dominant polycystic kidney disease

Human reproduction (Oxford), 1999-01, Vol.14 (1), p.110-113

1999

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Screening for deletions in interval D16-22 of the Y chromosome in azoospermic and oligozoospermic Japanese men

Journal of human genetics, 2001-01, Vol.46 (3), p.110-114

2001

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ASSISTED REPRODUCTION TECHNOLOGY FOR PATIENTS WITH CONGENITAL BILATERAL ABSENCE OF VAS DEFERENS

The Journal of urology, 1999-04, Vol.161 (4), p.1157-1162

1999

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Assisted reproduction for infertile patients with 9 + 0 immotile spermatozoa associated with autosomal dominant polycystic kidney disease

Human reproduction (Oxford), 1999-06, Vol.14 (6), p.1666-1666

1999

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Indeterminate solutions of the p-ultradiscrete equation and leading term analysis

Ultradiscrete hard-spring equation and its phase plane analysis

On exact solutions with periodic structure of the ultradiscrete Toda equation with parity variables

Ultradiscrete analogues of the hard-spring equation and its conserved quantity

Ultradiscrete analogue of the van der Pol equation

Nonlinear Kalman filtering via ultradiscretization procedure

Direct ultradiscretization of Ai and Bi functions and special solutions for the Painlevé II equation

Tropical Krichever construction for the non-periodic box and ball system

Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables

A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

A discrete logarithmic function and Lyapunov function

New Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables

Nonlinear Kalman filtering via ultradiscretization procedure

Ultradiscrete Painlevé II equation and a special function solution

Ultradiscrete optimal velocity model: A cellular-automaton model for traffic flow and linear instability of high-flux traffic

On oscillatory solutions of the ultradiscrete Sine-Gordon equation

On various solutions of the coupled KP equation

Ultradiscrete optimal velocity model: a cellular-automaton model for traffic flow and linear instability of high-flux traffic

Spider-web solutions of the coupled KP equation

Transmission of Y chromosomal microdeletions from father to son through intracytoplasmic sperm injection

Unusual Cytologic Findings in Low Grade Papillary Transitional Cell Carcinoma

Assisted reproduction for infertile patients with 9+0 immotile spermatozoa associated with autosomal dominant polycystic kidney disease

Screening for deletions in interval D16-22 of the Y chromosome in azoospermic and oligozoospermic Japanese men

ASSISTED REPRODUCTION TECHNOLOGY FOR PATIENTS WITH CONGENITAL BILATERAL ABSENCE OF VAS DEFERENS

Assisted reproduction for infertile patients with 9 + 0 immotile spermatozoa associated with autosomal dominant polycystic kidney disease

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