dorsal/arxiv
View SchemaA generalization of determinant formulas for the solutions of Painlev\'e II and XXXIV equations
| Authors | K. Kajiwara, T. Masuda |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903014 |
| URL | https://arxiv.org/abs/solv-int/9903014 |
| DOI | 10.1088/0305-4470/32/20/309 |
Abstract
A generalization of determinant formulas for the classical solutions of Painlev\'e XXXIV and Painlev\'e II equations are constructed using the technique of Darboux transformation and Hirota's bilinear formalism. It is shown that the solutions admit determinant formulas even for the transcendental case.
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"abstract": "A generalization of determinant formulas for the classical solutions of\nPainlev\\\u0027e XXXIV and Painlev\\\u0027e II equations are constructed using the\ntechnique of Darboux transformation and Hirota\u0027s bilinear formalism. It is\nshown that the solutions admit determinant formulas even for the transcendental\ncase.",
"arxiv_id": "solv-int/9903014",
"authors": [
"K. Kajiwara",
"T. Masuda"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0305-4470/32/20/309",
"title": "A generalization of determinant formulas for the solutions of Painlev\\\u0027e II and XXXIV equations",
"url": "https://arxiv.org/abs/solv-int/9903014"
},
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