Proceedings of the Japan Academy, Series A, Mathematical Sciences

The $\tau$ function of the Kadomtsev-Petviashvili equation transformation groups for soliton equations, I

Masaki Kashiwara and Tetsuji Miwa

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Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 57, Number 7 (1981), 342-347.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195516327

Digital Object Identifier
doi:10.3792/pjaa.57.342

Mathematical Reviews number (MathSciNet)
MR636749

Zentralblatt MATH identifier
0538.35065

Citation

Kashiwara, Masaki; Miwa, Tetsuji. The $\tau$ function of the Kadomtsev-Petviashvili equation transformation groups for soliton equations, I. Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), no. 7, 342--347. doi:10.3792/pjaa.57.342. https://projecteuclid.org/euclid.pja/1195516327


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References

  • [1] Sato, M., Miwa, T., and Jimbo, M.: Publ. RIMS, Kyoto Univ., 14, 223 (1978) ; 15, 201, 577, 871 (1979) ; 16, 531 (1980).
  • [2] Okamoto, K.: Proc. Japan Acad., 56A, 264, 367 (1980).
  • [3] Jimbo, M., Miwa, T., and Ueno, K.: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients I (to appear in Physica D).
  • [4] Jimbo, M., and Miwa, T.: ditto. II, III (to appear in Physica D).
    Mathematical Reviews (MathSciNet): MR636469
    Digital Object Identifier: doi:10.1016/0167-2789(81)90003-8
  • [5] Hirota, R.: Lect. Notes in Math., vol. 515, Springer (1976).
    Mathematical Reviews (MathSciNet): MR609746
    Zentralblatt MATH: 0336.35024
    Digital Object Identifier: doi:10.1007/BFb0081162
  • [6] Date, E., Kashiwara, M., and Miwa, T.: Transformation groups for soliton equations II. RIMS preprint, no. 357 (1981).
    Mathematical Reviews (MathSciNet): MR635400
    Digital Object Identifier: doi:10.3792/pjaa.57.387
    Project Euclid: euclid.pja/1195516288
  • [7] Date, E., Jimbo, M., Kashiwara, M., and Miwa, T.: Transformation groups for soliton equations III-VII. RIMS preprint, nos. 358-362 (1981).
    Mathematical Reviews (MathSciNet): MR635400
    Zentralblatt MATH: 0571.35098
    Digital Object Identifier: doi:10.3792/pjaa.57.387
    Project Euclid: euclid.pja/1195516288
  • [8] Sato, M., and Sato (Mori), Y.: Kokyuroku RIMS, no. 388, 183 (1980); no. 414, 181 (1981) (in Japanese).
  • [9] Sato, M.: A lecture delivered at the symposium on Random Systems and Dynamical Systems held at RIMS, Kyoto Univ. on Jan. 7-9, 1981.
  • [10] Miwa, T.: Clifford operators and Riemann's monodromy problem (to appear in Publ. RIMS).
    Zentralblatt MATH: 0505.35070
  • [11] Satsuma, J.: J. Phys. Soc. Japan, 40, 286 (1976).
    Mathematical Reviews (MathSciNet): MR393896
    Digital Object Identifier: doi:10.1143/JPSJ.40.286

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