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arXiv · 1207.2895

Examples of Darboux Integrable Discrete Equations Possessing First Integrals of an Arbitrarily High Minimal Order

Rustem N. Garifullin·Ravil I. Yamilov
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Abstract

We consider a discrete equation, defined on the two-dimensional square lattice, which is linearizable, namely, of the Burgers type and depends on a parameter $α$. For any natural number $N$ we choose $α$ so that the equation becomes Darboux integrable and the minimal orders of its first integrals in both directions are greater or equal than $N$.

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Rustem N. Garifullin, Ravil I. Yamilov. 2012-07-12. Examples of Darboux Integrable Discrete Equations Possessing First Integrals of an Arbitrarily High Minimal Order. https://arxiv.org/abs/1207.2895

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