Abstract
One parameter family of solutions of the second Painleve 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 Painleve characteristic, i. e. , they have no movable critical points.
| Original language | English |
|---|---|
| Pages (from-to) | 774-775 |
| Number of pages | 2 |
| Journal | Transactions of the Institute of Electronics and Communication Engineers of Japan. Section E |
| Volume | E63 |
| Issue number | 10 |
| Publication status | Published - 1980 Oct |
| Externally published | Yes |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
ANALYSIS OF THE SECOND PAINLEVE EQUATION BY BILINEARIZATION - AN EQUATION DESCRIBING LONG TIME ASYMPTOTIC BEHAVIOR OF WAVES IN CERTAIN SOLITON TRANSMISSION LINES. / Oishi, Shinichi.
In: Transactions of the Institute of Electronics and Communication Engineers of Japan. Section E, Vol. E63, No. 10, 10.1980, p. 774-775.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - ANALYSIS OF THE SECOND PAINLEVE EQUATION BY BILINEARIZATION - AN EQUATION DESCRIBING LONG TIME ASYMPTOTIC BEHAVIOR OF WAVES IN CERTAIN SOLITON TRANSMISSION LINES.
AU - Oishi, Shinichi
PY - 1980/10
Y1 - 1980/10
N2 - One parameter family of solutions of the second Painleve 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 Painleve characteristic, i. e. , they have no movable critical points.
AB - One parameter family of solutions of the second Painleve 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 Painleve characteristic, i. e. , they have no movable critical points.
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UR - http://www.scopus.com/inward/citedby.url?scp=0019068523&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0019068523
VL - E63
SP - 774
EP - 775
JO - Transactions of the Institute of Electronics and Communication Engineers of Japan. Section E
JF - Transactions of the Institute of Electronics and Communication Engineers of Japan. Section E
SN - 0387-236X
IS - 10
ER -