dorsal/arxiv
View SchemaOn completeness of the Moutard transformations
| Authors | E. I. Ganzha |
|---|---|
| Categories | |
| 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": [
"E. I. Ganzha"
],
"categories": [
"solv-int",
"nlin.SI"
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"title": "On completeness of the Moutard transformations",
"url": "https://arxiv.org/abs/solv-int/9606001"
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