dorsal/arxiv
View SchemaThe Painlev\'e Test of Higher Dimensional KdV Equation
| Authors | Yu. Song-Ju, T. Fukuyama |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9605003 |
| URL | https://arxiv.org/abs/solv-int/9605003 |
Abstract
We argue the integrability of the generalized KdV(GKdV) equation using the Painlev\'e test. For $d( \le 2)$ dimensional space, GKdV equation passes the Painlev\'e test but does not for $d \geq 3$ dimensional space. We also apply the Ablowitz-Ramani-Segur's conjecture to the GKdV equation in order to complement the Painlev\'e test.
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"abstract": "We argue the integrability of the generalized KdV(GKdV) equation using the\nPainlev\\\u0027e test. For $d( \\le 2)$ dimensional space, GKdV equation passes the\nPainlev\\\u0027e test but does not for $d \\geq 3$ dimensional space. We also apply\nthe Ablowitz-Ramani-Segur\u0027s conjecture to the GKdV equation in order to\ncomplement the Painlev\\\u0027e test.",
"arxiv_id": "solv-int/9605003",
"authors": [
"Yu. Song-Ju",
"T. Fukuyama"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "The Painlev\\\u0027e Test of Higher Dimensional KdV Equation",
"url": "https://arxiv.org/abs/solv-int/9605003"
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