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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

On completeness of the Moutard transformations

Authors	E. I. Ganzha
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9606001
URL	https://arxiv.org/abs/solv-int/9606001

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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    "abstract": "In this paper we solve positively the problem of (local) density of the\n\"potentials\" M(x,y) of the Moutard equation, u_{xy} = M(x,y) u, u=u(x,y), (used\nin many papers for construction of exact solutions of (2+1)-dimensional\nintegrable systems) obtainable from a given initial potential with consecutive\nMoutard transformations.",
    "arxiv_id": "solv-int/9606001",
    "authors": [
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    "title": "On completeness of the Moutard transformations",
    "url": "https://arxiv.org/abs/solv-int/9606001"
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