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arXiv · 1008.4851

Simplest potential conservation laws of linear evolution equations

Vyacheslav M. Boyko·Roman O. Popovych
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Abstract

Every simplest potential conservation law of any (1+1)-dimensional linear evolution equation of even order proves induced by a local conservation law of the same equation. This claim is true also for linear simplest potential conservation laws of (1+1)-dimensional linear evolution equations of odd order, which are related to linear potential systems. We also derive an effective criterion for checking whether a quadratic conservation law of a simplest linear potential system is a purely potential conservation law of a (1+1)-dimensional linear evolution equation of odd order.

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Vyacheslav M. Boyko, Roman O. Popovych. 2010-12-29. Simplest potential conservation laws of linear evolution equations. https://arxiv.org/abs/1008.4851

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