Works of Saburo KAKEI [Abstracts]
The sixth Painleve equation as similarity reduction of gl_{3} hierarchy (with T. Kikuchi) | Lett. Math. Phys. 79(3) (2007), 221-234 | [abs] |
A q-analogue of gl_{3} hierarchy and q-Painleve VI (with T. Kikuchi) | J. Phys. A39 (2006), 12179-12190 | [abs] |
Toroidal Lie algebra and Bilinear Identity of the Self-Dual Yang-Mills Hierarchy | In Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete (Eds.: Fadeev, van Moerbeke, Lambert), Springer (2006) | [abs] |
Solutions of a Derivative Nonlinear Schrödinger Hierarchy and Its Similarity Reduction (with T. Kikuchi) | Glasgow Math. J. 47A (2005) 99-107 | [abs] |
Affine Lie Group Approach to a Derivative Nonlinear Schrödinger Equation and Its Similarity Reduction (with T. Kikuchi) | Int. Math. Res. Not. 78 (2004), 4181-4209 | [abs] |
Similarity Reduction of the Modified Yajima-Oikawa Equation (with T. Kikuchi and T. Ikeda) | J. Phys. A36 (2003) 11465 - 11480 | [abs] |
Hierarchy of (2+1)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras (with T. Ikeda and K. Takasaki) | Annales Henri Poincaré 3 (2002) 817-845 | [abs] |
Differential-difference system related to toroidal Lie algebra (with Y. Ohta) | J. Phys. A34 (2001) 10585-10592 | [abs] |
Algebraic Aspects of Quantum Calogero Models (with Y. Kato) | In Special Functions (Eds.: Dunkl, Ismail, Wong) World Sci. (2000) | [abs] |
Dressing Method and the Coupled KP Hierarchy | Phys. Lett. A264 (2000) 449-458 | [abs] |
Experiment on Shock Wave in a Random LC Circuit (with H. Asano, S. Ishiwata and S. Watanabe) | J. Phys. Soc. Jpn. 68 (1999) 3208-3213 | |
Orthogonal and Symplectic Matrix Integrals and Coupled KP Hierarchy | J. Phys. Soc. Jpn. 68 (1999) 2875-2877 | [abs] |
Reply to ``Remark on Shock Wave in a Nonlinear LC Circuit'' (with S. Watanabe, S. Ishiwata and J. Ehara) | J. Phys. Soc. Jpn. 67 (1998) 702-702 | |
Quantum Calogero Models and the Degenerate Double Affine Hecke Algebra | RIMS Kokyuroku, Kyoto Univ. 1136 (1998) 65-87 | [pdf] |
Intertwining Operators for a Degenerate Double Affine Hecke Algebra and Multivariable Orthogonal Polynomials | J. Math. Phys. 39 (1998) 4993-5006 | |
Orthogonal Bases of Calogero-type Models | IIAS Report No. 1997-001, pp. 71-80 | [pdf] |
An Orthogonal Basis for the B_{N}-type Calogero Model | J. Phys. A30 (1997) L535-L541 | [abs] |
Common Algebraic Structure for the Calogero-Sutherland Models | J. Phys. A29 (1996) L619-L624 | [abs] |
Toda Lattice Hierarchy and Zamolodchikov's Conjecture | J. Phys. Soc. Jpn. 65 (1996) 337-339 | [abs] |
Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation (with J. Satsuma and N. Sasa) | J. Phys. Soc. Jpn. 64 (1995) 1519-1523 | [abs] |
Multi-Soliton Solutions for a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations (with J. Satsuma) | J. Phys. Soc. Jpn. 63 (1994) 885-894 | [abs] |
Soliton Propagation in a Nonlinear Resonant Medium (with J. Satsuma) | Proceedings of NOLTA '93 | [pdf] |