Evolution equations: Frobenius integrability, conservation laws and travelling waves
La Trobe-Kyushu Joint Seminar on Mathematics for Industry
開催期間
2015.7.14(火)
12:00 ~ 13:00
12:00 ~ 13:00
場所
九州大学 伊都キャンパス 数理学研究教育棟／マス・フォア・インダストリ研究所B1 中会議室(122号)
講演者
Geoff Prince (Australian Mathematical Sciences Institute, and La Trobe University)
概要
We give new results concerning the Frobenius integrability and solution of evolution equations admitting travelling wave solutions. In particular, we give a powerful result which explains the extraordinary integrability of some of these equations. We also discuss “local” conservations laws for evolution equations in general and demonstrate all the results for the Korteweg de Vries equation.
This is work with Naghmana Tehseen.