|
（1）Vidunas Raimundas: Transformations of Gauss hypergeometric functions
|
 |
概要：
We give a classification of algebraic transformations of Gauss
hypergeometric functions. Knowledge of these transformations can
be important in computer algerba systems which aim to handle
hypergeometric functions. Our classification scheme recovers the
well-known classical transformations of degree 2, 3, 4, 6. It
turns out that for special classes of Gauss hypergeometric
functions there are more transformations. Examples of such
hypergeometric functions are algebraic functions and elliptic
integrals. We present these new transformations and algorithms
for computing them.
|
|
|
（2）丸野 健一 : Pulsating Soliton of the Complex Ginzburg-Landau
Equation
|
|
概要：
I will talk about the analysis of the pulsating solitons of the
complex Ginzburg-Landau (CGL) equation which was found by
Akhmediev et al by numerical study. Although the exact analysis
of pulsating solitons is very difficult by the reason of the
non-integrability of the CGL, I can study the property of the
pulsating soliton of the CGL by the generalized moment method
which comes from the integrability of the NLS limit of the CGL.
|
|
|
連絡先：２１世紀COE機能数理学セミナー事務局
川崎英文(kawasaki@math.kyushu-u.ac.jp)
梶原健司(kaji@math.kyushu-u.ac.jp)
|
|
|
|
