IEICE TRANSACTIONS on transactions
An Analysis of the Second Painlevé Equation by Bilinearization--An Equation Describing Long Time Asymptotic Behavior of Waves in Certain Soliton Transmission Lines--
Summary :
One parameter family of solutions of the second Painlevé equation, which describes long time asymptotic behavior of waves in certain soliton transmission lines, are constructed through its bilinear form. It is then shown that the derived solutions have the Painlevé characteristic, i.e., they have no movable critical points.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E63-E No.10 pp.774-775
- Publication Date
- 1980/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Circuit Theory
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Shin'ichi OISHI, "An Analysis of the Second Painlevé Equation by Bilinearization--An Equation Describing Long Time Asymptotic Behavior of Waves in Certain Soliton Transmission Lines--" in IEICE TRANSACTIONS on transactions,
vol. E63-E, no. 10, pp. 774-775, October 1980, doi: .
Abstract: One parameter family of solutions of the second Painlevé equation, which describes long time asymptotic behavior of waves in certain soliton transmission lines, are constructed through its bilinear form. It is then shown that the derived solutions have the Painlevé characteristic, i.e., they have no movable critical points.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e63-e_10_774/_p
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@ARTICLE{e63-e_10_774,
author={Shin'ichi OISHI, },
journal={IEICE TRANSACTIONS on transactions},
title={An Analysis of the Second Painlevé Equation by Bilinearization--An Equation Describing Long Time Asymptotic Behavior of Waves in Certain Soliton Transmission Lines--},
year={1980},
volume={E63-E},
number={10},
pages={774-775},
abstract={One parameter family of solutions of the second Painlevé equation, which describes long time asymptotic behavior of waves in certain soliton transmission lines, are constructed through its bilinear form. It is then shown that the derived solutions have the Painlevé characteristic, i.e., they have no movable critical points.},
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - An Analysis of the Second Painlevé Equation by Bilinearization--An Equation Describing Long Time Asymptotic Behavior of Waves in Certain Soliton Transmission Lines--
T2 - IEICE TRANSACTIONS on transactions
SP - 774
EP - 775
AU - Shin'ichi OISHI
PY - 1980
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E63-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1980
AB - One parameter family of solutions of the second Painlevé equation, which describes long time asymptotic behavior of waves in certain soliton transmission lines, are constructed through its bilinear form. It is then shown that the derived solutions have the Painlevé characteristic, i.e., they have no movable critical points.
ER -
English
