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2 1964 (2010 ) , , (2012 )

3 RIMS Kokyuroku 1847 Mathematical theory, modeling, and applications of nonlinear wave research October 17 19, 2012 $\sim$ edited by Hiroshi Kakuhata August, 2013 Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan This is a report of research done at the Research Institute for Mathematical Sciences, Kyoto University. The papers contained herein are in fmal form and will not be submitted for publication elsewhere.

4 Mathematical theory, modeling, and applications of nonlinear wave research RIMS (Hiroshi Kakuhata) 1. 1 (Osaka $U$.) (Hiroaki Hyodo) (Nobumasa Sugimoto) 2. ( ) $ 10$ (Hokkaido $U$.) (Junya Kawahara) (Kazumichi Kobayashi) / (Masao Watanabe) 3. Parameter Scaling ( ) $ 16$ (U. Tokyo) (Tetsuya Kanagawa) 4. $ -24$ (Osaka Pref. U.) (Maho Kitagawa) / (Youichi Murakami) 5. $\Pi$ $ 35$ (Osaka Pref. U.) (Seiko Kurebayashi) (Youichi Murakami) 6. $ 43$ (Tokai $U$.) (Kazuo Mimura) 7. $ 54$ (Osaka $U$.) (Takao Yoshinaga) (Kazuki Matsumoto) 8. $ 64$ (Gifu $U$.) (Mitsuhiro Tanaka) $- i -$

5 9. Dynamics of the fluid balancer: Perturbation solution of a forced Korteweg-de Vries-Burgers equation $ 73$ (Yamagata $U$.) (Osaka Sangyo $U$.) M. A. Langthjem (Tomomichi Nakamura) 10. $ -86$ (Kagoshima $U$.) (Taro Kakinuma) (Kei Yamashita) 11. $ -96$ (Hokkaido $U$.) (Yo Mizuta) 12. $ 107$ (U. Toyama) (Hiroshi Kakuhata) / (Takumi Saeki) 13. $ 116$ (U. Tokyo) (Norio Shimamoto) 14. AKNS $ 129$ (CANON Inc.) (Hironobu Fujishima) (Utsunomiya $U$.) (Tetsu Yajima) $ -136$ (U. Tokyo) (Makoto Umeki) 16. Fokas-Lenells $ 141$ (Yamaguchi $U$.) (Yoshimasa Matsuno) 17. $DS$ II $ 157$ (Kinki $U$.) (Osaka Pref. U.) (Takahito Arai) (Masayoshi Tajiri) 18. POISSON $ 169$ (Kyoto $U$.) (Shigeru Masuda) $- 11 -$

6 $K\hat{o}\infty\hat{m}kw$ RIMS $K\hat{o}ky\hat{u}1\mathfrak{v}kv$ workshops supported by $R\underline{f}MS$ was started in 1964 as the proceedings of symposia, colloquia and, the Research Institute for Mathematical Sciences, Kyoto University It was the next year of the establishment of RIMS as one of the nationwide Cooperative Research Centers, the preceding system of the current Joint Usage/Research Centers that started in For half a century since then, about 50 to 60 volumes have been issued each year, and the 1,$800th$ volume was issued in The volumes of the lst through the 1,840 $K\hat{o}br\hat{u}\iota oku$ from containing enormous 26,808 articles and 317, 199 pages, not only deliver the latest resealch activities in mathematics and mathematical sciences but also constitute valuable and incomparable collections of art icles that pass down history of progress of mathematics and mathematical science in Japan Articles in $K\hat{o}ky\hat{m}ku$ are available on the websites of RIMS and Kyoto University Research Information Repository They are very frequently accessed on the internet, with a total of as many as 1,254,383 acoesses in The authors choose the languages to write articles, and many are written in Japanese, which is one of the characteristics of K\^oky\^uroku. As a result, K6ky\^uroku is regarded as a significant and important literature which allows easy aocess to the latest specialized knowledge in the large fields of mathematics and mathematical sciences written in native language $f0r$ Japanese readers, while more and more research papers are being written in English in recent years. We are deeply grateful to many of those who have participated in cooperative research $K\hat{\mathfrak{v}}ky\hat{u}\iota \mathfrak{v}ku$ activities of RIMS and greatly developed. We heartily ask $for$ your $\infty$ntinuous participation in research activities at RIIMS as a Joint Usage Research Center and your warm support and cooperation $for$ the fruitful development $ofk\hat{o}$]$g^{r}\hat{u}\iota \mathfrak{v}ku.$

ISSN

ISSN ISSN 1880-2818 1879 2014 4 1964 (2010 ) 2O12 18OO 1 $184O$ 26,8O8 317,199 1254383 (2O12 ) RIMS K\^oky\^uroku 1879 optimization: Theory and Application August $29\sim 3\theta$, 2013 edited by Ryuhei Miyashiro

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