Explanipedia

Dynamic modal rotation method with inertial nonlinearity for large deformation analysis of slender structures Open

Yoshitaka Shizuno, Ryo Kuzuno, Noriko Nagai, M. Kawai, Seinosuke Kawashima , et al. · 2025

Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation Open

Guangfu Han, Yuji Kodama, Chuanzhong Li, Lin Sun · 2025

By means of an asymptotic perturbation method, we study the initial value problem of the KP equation with initial data consisting of parts of exact line-soliton solutions of the equation. We consider a slow modulation of the soliton parame…

Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators Open

S.-S. Huang, Yuji Kodama, Chuanzhong Li · 2024

We give a classification of the $regular$ soliton solutions of the KP hierarchy, referred to as the $KP solitons$, under the Gel'fand-Dickey $\ell$-reductions in terms of the permutation of the symmetric group. As an example, we show that …

KP solitons and the Riemann theta functions Open

Yuji Kodama · 2024

We show that the $$\tau $$ -functions of the regular KP solitons from the totally nonnegative Grassmannians can be expressed by the Riemann theta functions on singular curves. We explicitly write the parameters in the Riemann theta funct…

KP solitons and the Riemann theta functions Open

Yuji Kodama · 2023

We show that the $τ$-functions of the regular KP solitons from the totally nonnegative Grassmannians can be expressed by the Riemann theta functions on singular curves. We explicitly write the parameters in the Riemann theta function in te…

Introduction to special feature dedicated to Prof. Allan Fordy on the occasion of his 70th birthday Open

Andrew N. W. Hone, Yuji Kodama, Q. P. Liu, Sara Lombardo, В. С. Новиков · 2023

Tire rolling simulation using a real road surface model Open

Ryosuke Kobayashi, Yuji Kodama · 2023

Since the tire is driven by frictional contact with road surfaces, the contact condition between tire and road is a very important factor for the tire performances. Conventionally, the finite element analysis is used for predicting or eval…

Analysis of Friction Coefficient between Periodic Surface and Rubber Open

Yuji Kodama, Shun Takahashi · 2022

The friction coefficient between tire tread rubber and road surface is an important property for tire performances and the prediction of the friction coefficient is also important．In this study, the general purpose finite element analysis …

Space Curves and Solitons of the KP Hierarchy. I. The l-th Generalized KdV Hierarchy Open

Yuji Kodama, Yuancheng Xie · 2021

It is well known that algebro-geometric solutions of the KdV hierarchy are\nconstructed from the Riemann theta functions associated with hyperelliptic\ncurves, and that soliton solutions can be obtained by rational (singular)\nlimits of th…

Influence of hysteresis friction of rubber on surface Open

Yuta TSUKIMURA, Motoki Kobayashi, Shun Takahashi, Yuji Kodama, Yusuke Mizuno , et al. · 2020

A tire is one of important mechanical elements of automobile, which is developed with the prediction of the friction in the design process. However, it is quite difficult due to the complicated mechanism of generation of actual friction fo…

Simulation of Hysteresis friction for Prediction of Friction coefficient between Rubber and road surface Open

Shotaro Nara, Takumi Ito, Shun Takahashi, Yuji Kodama, Tetsuo Nohara · 2020

Back Matter Open

Yuji Kodama · 2018

The back matter includes bibliography, index, and back cover.

Front Matter Open

Yuji Kodama · 2018

The front matter includes the title page, series page, copyright page, TOC, and preface.

Triangulations and soliton graphs for totally positive Grassmannian Open

Rachel Karpman, Yuji Kodama · 2018

The KP equation is a nonlinear dispersive wave equation which provides an excellent model for resonant interactions of shallow-water waves. It is well known that regular soliton solutions of the KP equation may be constructed from points i…

Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint Open

Yuji Kodama, Barbara A. Shipman · 2018

In 1967, Japanese physicist Morikazu Toda published a pair of seminal papers in the Journal of the Physical Society of Japan that exhibited soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. In…

Solitoni e Triangolazioni Triangulations and solitons Open

Yuji Kodama · 2018

Trovare connessioni tra aree differenti della Matematica e un fatto interessate. In questo articolo mostreremo una connessione elementare, ma notevole, tra la triangolazione di poligoni e le configurazioni di onde prodotte dalle soluzioni …

Optical-fluid dark line and X solitary waves in Kerr media Open

Fabio Baronio, Miguel Onorato, Shihua Chen, S. Trillo, Yuji Kodama , et al. · 2017

We consider the existence and propagation of nondiffractive and nondispersive spatiotemporal optical wavepackets in nonlinear Kerr media. We report analytically and confirm numerically the properties of spatiotemporal dark line solitary wa…

Spatiotemporal optical dark X solitary waves Open

Fabio Baronio, Shihua Chen, Miguel Onorato, S. Trillo, S. Wabnitz , et al. · 2016

We introduce spatiotemporal optical dark X solitary waves of the (2+1)D hyperbolic nonlinear Schrödinger equation (NLSE), which rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are derive…

Confluence of hypergeometric functions and integrable hydrodynamic-type systems Open

Yuji Kodama, B. G. Konopelchenko · 2016

It is known that a large class of integrable hydrodynamic type systems can be\nconstructed through the Lauricella function, a generalization of the classical\nGauss hypergeometric function. In this paper, we construct novel class of\ninteg…

Optical Nonlinear Dark X-Waves Open

Fabio Baronio, S. Wabnitz, S. Chen, Miguel Onorato, S. Trillo , et al. · 2016

We introduce spatiotemporal optical dark X solitary waves of the (2+1)D {hyperbolic} nonlinear Schrödinger equation (NLSE), that rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are deriv…

Optical Kerr Spatiotemporal Dark-Lump Dynamics of Hydrodynamic Origin Open

Fabio Baronio, S. Wabnitz, Yuji Kodama · 2016

There is considerable fundamental and applicative interest in obtaining nondiffractive and nondispersive spatiotemporal localized wave packets propagating in optical cubic nonlinear or Kerr media. Here, we analytically predict the existenc…

Вырождение гипергеометрических функций и интегрируемые системы гидродинамического типа Open

Ю Кодама, Yuji Kodama, B. G. Konopelchenko, B. G. Konopelchenko · 2016

ФУНКЦИЙ И ИНТЕГРИРУЕМЫЕ СИСТЕМЫ ГИДРОДИНАМИЧЕСКОГО ТИПАСтроится новый класс интегрируемых систем гидродинамического типа, определяющих динамику критических точек вырожденных функций типа Лауричеллы, заданных на конечномерном грассманиане G…

Critical points, Lauricella functions and Whitham-type equations Open

Yuji Kodama, B. G. Konopelchenko, W. K. Schief · 2015

A large class of semi-Hamiltonian systems of hydrodynamic type is interpreted\nas the equations governing families of critical points of functions obeying the\nclassical linear Darboux equations for conjugate nets.The distinguished role of…

229 Performance Evaluation of Various Hyperelastic Constitutive Models for Carbon-Black-Filled SBR Vulcanizates Open

Naruto MAEDA, Masaki FUJIKAWA, Junichiro Yamabe, Yuji Kodama, Masataka KOISHI · 2015

本研究では,超弾性構成則の再現性能について検討を行った.カーボンブラックの充てん量の異なる3種類のSBRを対象として,単軸引張り,純せん断,一様二軸引張り試験を行い,公称応力-伸長比関係を計測した.得られた結果より,多項式モデルの材料定数を決定し,多項式モデルが実験結果を再現可能であるか調査した.その結果,多項式モデルは実験結果を精度よく再現することを確認した.また,同定した材料定数による多項式モデルは,第一不変量項の寄与が支配的であることを確認した.

112 Nonlinear Visco-Hyperelastic Material Models for Carbon Black-Filled SBR Vulcanizates Open

Masaki FUJIKAWA, Naruto MAEDA, Junichiro Yamabe, Yuji Kodama, Masataka KOISHI · 2015

カーボンブラック充てんSBR材料の動特性を解析するための非線形粘弾性構成則について検討した.まず,カーボンブラックを体積比で25%充てんしたSBRを対象として多段式応力緩和試験,繰り返しひずみ試験,大変形中速・低速の1サイクル試験をおこなった.そして代表的な粘弾性モデルである線形粘弾性モデルベースのLarge-Strain viscoelastic modelおよびBergstrom-Boyce modelの材料定数を決定し,それぞれの実験結果の再現性を検証した.その結果,…

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