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On completeness of the Moutard transformations

E. I. Ganzha
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Abstract

In this paper we solve positively the problem of (local) density of the "potentials" M(x,y) of the Moutard equation, u_{xy} = M(x,y) u, u=u(x,y), (used in many papers for construction of exact solutions of (2+1)-dimensional integrable systems) obtainable from a given initial potential with consecutive Moutard transformations.

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E. I. Ganzha. 1997-01-20. On completeness of the Moutard transformations. https://arxiv.org/abs/solv-int/9606001

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