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arXiv · 1712.02117

A basis of hierarchy of generalized symmetries and their conservation laws for the (3+1)-dimensional diffusion equation

J J H Bashingwa·A H Kara
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Abstract

We determine, by hierarchy, dependencies between higher order linear symmetries which occur when generating them using recursion operators. Thus, we deduce a formula which gives the number of independent generalized symmetries (basis) of several orders. We construct a basis for conservation laws (with respect to the group admitted by the system of differential equation) and hence generate infinite conservation laws in each equivalence class.

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J J H Bashingwa, A H Kara. 2017-12-06. A basis of hierarchy of generalized symmetries and their conservation laws for the (3+1)-dimensional diffusion equation. https://arxiv.org/abs/1712.02117

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