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arXiv · 1409.2690

Evolution equations: Frobenius integrability, conservation laws and travelling waves

Geoff Prince·Naghmana Tehseen
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Abstract

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.

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Geoff Prince, Naghmana Tehseen. 2014-09-09. Evolution equations: Frobenius integrability, conservation laws and travelling waves. https://doi.org/10.1088/1751-8113/48/40/405205

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