Studies on conserved quantity and integrability for discrete and ultradiscrete systems

2014 Fiscal Year Final Research Report

• Project/Area Number: 23560070
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Engineering fundamentals
• Research Institution: Hiroshima University
• Principal Investigator: ITO Masaaki 広島大学, 工学(系)研究科(研究院), 准教授 (10116535)
• Co-Investigator(Kenkyū-buntansha): SHIBA Masakazu 広島大学, 大学院工学研究院, 名誉教授 (70025469) ; KUBO Fujio 広島大学, 大学院工学研究院, 教授 (80112168)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 非線形方程式 / 離散方程式 / 超離散 / 保存量 / 数式処理

Outline of Final Research Achievements

We found higher order conserved quantities for the Lyness max equation which is a ultradiscrete version of the Lyness equation. To clarify the structure of the conserved quantities of the Lyness max equation, we found several conserved quantities for the derivative Lyness equation. As a computer algebra and a numerical approach, we found an exact solution to Poiseuill flow whose velocity field is spherical paraboloid, and derived a Poiseuill flow in hyperbolic metric.

Free Research Field

応用数学