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Evolution equations: Frobenius integrability, conservation laws and travelling waves

Hold Date
2015-07-14 12:00〜2015-07-14 13:00
Meeting Room (#122), Faculty of Mathematics building, Ito Campus, Kyushu University
Object person
Geoff Prince (Australian Mathematical Sciences Institute, and La Trobe University)

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.