International Symposium
Advances in soliton theory and its applications
-- The 30th anniversary of the Toda lattice --
December 1 - 4, 1996
Graduate University for Advanced Studies, Hayama Campus
1 (Sun) Dec. (at Shonan Village Center)
2 (Mon) Dec. (at the Graduate University for Advanced Studies)
- Chairperson : K. Takasaki
- 9:00-9:15
J. Satsuma (University of Tokyo) Opening address
- 9:15-10:00 A-1
E. Date (Osaka University)
"On the Onsager algebra"
- Break 10:00-10:30
- Chairperson : F. Lambert
- 10:30-11:15 A-2
R. Hirota (Waseda University)
"Random-time Toda equation"
- 11:15-12:00 A-3
A. Ramani (Ecole Polytechnique) and B. Grammaticos (Universit Paris 7)
"The grand scheme for discrete Painlev equations"
- Lunch 12:00-13:30
- Chairperson : Y. Kametaka
- 13:30-14:15 B-1
B. Grammaticos (Universit Paris 7) and A. Ramani (Ecole Polytechnique)
"Toda equations and the Painlev property"
- 14:15-15:00 B-2
K. Okamoto (University of Tokyo)
"On the multi-time Hamiltonian, Ag"
- Break 15:00-15:30
- Chairperson : R. Sasaki
- 15:30-16:05 B-3
Li Yi-shen (University of Science and Technology of China)
"Soliton equation, differential geometry and shape dynamics"
- 16:05-16:40 B-4
F. Lambert and J. Springael (Vrije Universiteit Brussel)
"Partitional recipes for direct bilinearization"
- 16:40-17:00 B-5
R. Willox (Vrije Universiteit Brussel)
and J. Nimmo (University of Glasgow)
"Binary Darboux transformations and
the non-Abelian Toda lattice"
- 19:00-20:45 (at Shonan Village Center)
- 20:45
- Mixer (at Shonan Village Center)
3 (Tue) Dec. (at the Graduate University for Advanced Studies)
- Chairperson : T. Kuusela
- 9:00-9:30 C-1
K. Nishihara , Y. Ueshima (Osaka University),
T. Tajima (University of Texas at Austin)
and H. Furukawa (Institute for Laser Technology)
"Lyapunov exponent in dilute gas, liquid and solid plasmas"
- 9:30-10:00 C-2
Y. Itoh (The Institute of Statistical Mathematics and
the Graduate University for Advanced Studies)
"A stochastic model of a nonlinear integrable system:
The paper-scissors-stone model"
- Break 10:00-10:30
- Chairperson : A. Nakamura
- 10:30-11:15 C-3
P. M. Santini and A. Doliwa (Universita di Roma "La Sapienza")
"Discrete geometry and integrable multidimensional lattices"
- 11:15-12:00 C-4
H. Flaschka (University of Arizona)
"Some problems motivated by the dispersionless Toda lattice"
- Lunch 12:00-13:30
- 13:30-14:00
- Chairperson : B. Grammaticos
- 14:00-14:45 D-1
M. Toda
"Discovery of lattice solitons
--- Some recollections and reflections ---"
- 14:45-15:30 D-2
M. J. Ablowitz (University of Colorado)
"On a new class of lump type solutions to the
Kadomtsev-Petviashvili and nonstationary Schrodinger equations"
- Break 15:30-15:50
- Chairperson : M. Oikawa
- 15:50-16:25 D-3
M. Isobe (University of Tokyo)
"A new approach to nonlinear water wave transformation"
- 16:25-17:00 D-4
N. Sugimoto (Osaka University)
"Acoustic soliton and its application to `tunnel acoustics`"
- 18:00-20:00 (at Shonan Village Center)
4 (Wed) Dec. (at the Graduate University for Advanced Studies)
- Chairperson : P. M. Santini
- 9:00-9:30 E-1
D. Takahashi (Ryukoku University)
"Ultra-discrete Toda lattice equation
--- A grandchild of Toda --- "
- 9:30-10:00 E-2
T. Tokihiro (University of Tokyo)
"Analysis of two-dimensional Toda cellular automaton"
- Break 10:00-10:20
- Chairperson : T. Kawahara
- 10:20-11:05 E-3
O. Ragnisco (Universita di Roma TRE)
"The Rome soliton group and the Toda lattice"
- 11:05-11:50 E-4
M. Wadati (University of Tokyo)
"Motion of curves and surfaces"
- Lunch 11:50-13:20
- 13:20-13:50
- Chairperson : Y. Kodama
- 13:50-14:20 F-1
Y. Nakamura (Osaka University)
"Calculating Laplace transforms in terms of the Toda molecule"
- 14:20-15:00 F-2
M. Nakazawa (NTT)
"Recent progress in optical soliton communication"
- Break 15:00-15:20
- Chairperson : M. Wadati
- 15:20-16:00 F-3
J. Hietarinta (University of Turku)
"The dissipative Toda lattice"
- 16:00-16:30 F-4
T. Kuusela (University of Turku)
"AC-driven dissipative Toda lattice and KdV equation"
- 16:30-17:00 F-5
S. Watanabe (Yokohama National University)
"Soliton and shock wave in nonlinear LC circuit"
- 17:00
S. Watanabe (Yokohama National University) Closing address
- Chairperson : K. Nishinari
- M-1 19:00-19:15
M. Hisakado (University of Tokyo)
"Unitary matrix model with a topological term and discrete time
Toda equation"
- M-2 19:15-19:30
R. Sasaki (Kyoto University)
"Toda field theory: Exactly solvable quantum field theory"
- M-3 19:30-19:45
K. Imai, K. Konno (Nihon University)
and H. Kakuhata (Tsuru Woman's Junior College)
"Soliton and ruled surface"
- Break 19:45-20:00
- Chairperson : R. Willox
- M-4 20:00-20:15
S. Kawamoto (Osaka Prefecture University)
and T. Tsubota (Sharp Cooperation)
"Integrability of chaos maps and fractal maps"
- M-5 20:15-20:30
K. Umeno (The Institute of Physical and Chemical Research)
"Theory of exactly solvable chaos and its applications"
- M-6 20:30-20:45
R. Kobayashi and T. Sanda (Science University of Tokyo)
"A new sufficient condition for the existence of the discrete
spectrum for Sturm-Liouville operator and its application to
K-dV equation"
- P-1
T. Fukuyama (Ritsumeikan University), K. Kamimura (Toho University),
T. Masuda and Yu Song-Ju (Ritsumeikan University)
"Stationary axisymmetric solutions of the Einstein equation
in soliton theory"
- P-2
N. Saitoh (Yokohama National University) and S. Saito (Tokyo Metropolitan
University)
"Coupling of small pieces of Toda lattice and
its complex analysis"
- P-3
K. Takasaki (Kyoto University)
"Supersymmetric Yang-Mills theories and Toda equations"
- P-4
Y. Tabata (Hokuriku University)
"Stable solitary wave in diatomic Toda lattice"
- P-5
H. Konno and P. S. Lomdahl
"Power-law Distribution and fractional Brownian Motion of the
Riemann-Liouville type associated with simple birth-death process
of "soliton"-like excitations"
- P-6
T. Iizuka (Ehime University) and M. Wadati (University of Tokyo)
"Grating solitons in optical fiber"
- P-7
K. Nishinari (Yamagata University)
"Nonlinear dynamics of continuous and discrete rod"
- P-8
T. Yajima (Utsunomiya University)
and K. Nishinari (Yamagata University)
"Exact solution for Gaussian-type initial condition
for the Davey-Stewartson equations"
- P-9
S. Matsutani
"Physical realization of the inverse scattering method
--Dirac field confined in a thin loop soliton--"
- P-10
S. Tsujimoto (Waseda University)
"Hierarchy of the discrete Toda lattice equation"
- P-11
M. Umeki (University of Tokyo)
"Homoclinic motions of the vortex filament"
- P-12
S. Kakei (University of Tokyo)
"Orthogonal bases of Calogero-type models"
- P-13
A. Nagai (University of Tokyo)
"The Toda molecule equation and the epsilon-algorithm"
- P-14
M. Torii (University of Tokyo)
"Semifield analogue of Toda lattice"
- P-15
K. Kawamura (Yokohama National University)
"Shock wave in a random Toda lattice"
- P-16
H. G. Oh (Yokohama National University)
"Cnoidal wave solution of Benney equation"
- P-17
S. Ishiwata (Yokohama National University)
"Soliton-like pulse in periodic Toda lattice and
its hard sphere model"
- P-18
S. Ishiwata (Yokohama National University)
"Soliton storage ring"
- P-19
J. Ehara (Yokohama National University)
"Chaos in nonlinear Mathieu equation"