長井 秀友

Nagai Hidetomo

  • 准教授
  • 学位:博士(理学)

基本情報

所属

  • Undergraduate School of Science / Department of Mathematics
  • Graduate School of Science / Course of Mathematics and Mathematical Sciences

詳細情報

研究キーワード

  • Ultradiscrete Systems
  • Soliton
  • Discrete Integrable systems

研究分野

  • Natural sciences Mathematical analysis

論文

Discrete and Ultradiscrete Periodic Phase Soliton Equations

Ultradiscrete permanent solution to the ultradiscrete Kadomtsev–Petviashvili equation

The discrete Toda equation revisited: Dual β-Grothendieck polynomials, ultradiscretization, and static solitons

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

Ultradiscrete Plucker relation specialized for soliton solutions

Bilinear equations and Backlund transformation for a generalized ultradiscrete soliton solution

A new expression of a soliton solution to the ultradiscrete Toda equation

講演・口頭発表等

  • Discrete and ultradiscrete mixed soliton solutions
  • On mixed ultradiscrete soliton solution
  • On Ultradiscrete Systems
  • 超離散2次元戸田方程式のソリトン解
  • 差分・超離散系における解構造の対応
  • 超離散ソリトン方程式と超離散パーマネント
  • 連立線形方程式の一般解の差分・超離散対応
  • コーシー・ビネの公式の超離散対応物
  • A new solution to the ultradiscrete KP equation
  • On Ultradiscrete Soliton Equations
  • 超離散KP方程式の解の拡張
  • Ultradiscrete analogue of determinant solution for the KP equation
  • 超離散パーマネントが満たす関係式について
  • Soliton Solutions to an Extended Box and Ball System Equation
  • New type of solutions for the ultradiscrete soliton equations

共同研究・競争的資金等の研究課題

Construction of ultradiscrete integrable system

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