dorsal/arxiv
View SchemaThe exact solutions of differential equation with delay
| Authors | K. Hasebe, A. Nakayama, Y. Sugiyama |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9812003 |
| URL | https://arxiv.org/abs/patt-sol/9812003 |
Abstract
The exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveling cluster of jam, which is characterized by Jacobi's elliptic function. We also obtain the family of solutions of such type of equations.
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"abstract": "The exact solutions of the first order differential equation with delay are\nderived. The equation has been introduced as a model of traffic flow. The\nsolution describes the traveling cluster of jam, which is characterized by\nJacobi\u0027s elliptic function. We also obtain the family of solutions of such type\nof equations.",
"arxiv_id": "patt-sol/9812003",
"authors": [
"K. Hasebe",
"A. Nakayama",
"Y. Sugiyama"
],
"categories": [
"patt-sol",
"nlin.PS"
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"title": "The exact solutions of differential equation with delay",
"url": "https://arxiv.org/abs/patt-sol/9812003"
},
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