Many-particle completely integrable systems and poles of meromorphic solutions of non-linear evolution equations

D. V. Choodnovsky

Séminaire sur les équations non linéaires (Choodnovsky) (1977-1978)

  • page 1-11

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Choodnovsky, D. V.. "Many-particle completely integrable systems and poles of meromorphic solutions of non-linear evolution equations." Séminaire sur les équations non linéaires (Choodnovsky) (1977-1978): 1-11. <http://eudml.org/doc/112149>.

@article{Choodnovsky1977-1978,
author = {Choodnovsky, D. V.},
journal = {Séminaire sur les équations non linéaires (Choodnovsky)},
language = {eng},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Many-particle completely integrable systems and poles of meromorphic solutions of non-linear evolution equations},
url = {http://eudml.org/doc/112149},
year = {1977-1978},
}

TY - JOUR
AU - Choodnovsky, D. V.
TI - Many-particle completely integrable systems and poles of meromorphic solutions of non-linear evolution equations
JO - Séminaire sur les équations non linéaires (Choodnovsky)
PY - 1977-1978
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - eng
UR - http://eudml.org/doc/112149
ER -

References

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  1. [1] D.V. Choodnovsky, G.V. Choodnovsky, Pole expansion of nonlinear partial differential equations, Nuovo Cimento, vol. 40B, No 2, (1977) 339-353. Zbl0408.10021MR448415
  2. [2] J. Moser, Adv. Math.16 (1975) 197. Zbl0303.34019MR375869
  3. [3] F. Calogero, Lett. Nuovo Cimento13 (1975) 411. MR388895
  4. [4] M.D. Kruskal, Lectures in Appl. Math. A. M. S.15 (1974) 61. MR352741
  5. [5] H. Airault, H.P. McKean and J. Moser, Comm. Pure Appl. Math. (1977). MR649926
  6. [6] J.L. Burchnall, T.W. Chaundy, Proc. London Math. Soc.21 (1922) 420-440; Proc. Royal Soc. London, ser. A118 (1928) 557-573; A134 (1931) 471. JFM49.0311.03
  7. [7] I.M. Krichiver, Uspechi Math. Nauk, 32, No 6 (1977) 183 (in Russian 
  8. [8] D.V. Choodnovsky, Infinite chains of non-linear equations of evolution associated with one-dimensional many-body problems -I-, Notices of theA.M.S. 24, No 4 (1977) A-387. 
  9. [9] M. Kac and P. van Moerbecke, Proc. Nat. Acad. Sci.72 (1975) 1627. Zbl0343.34003MR367360
  10. [10] A. Erdelyi, Higher transcendental functions, v. 2, New York1953. Zbl0051.30303
  11. [11] J. Cole, Quart. Appl. Math.9 (1951) 225. Zbl0043.09902MR42889
  12. [12] G.V. and D.V. Choodnovsky, Lett. Nuovo Cimento, 19, No 8 (1977) 291-294. 
  13. [13] P.D. Lax, Comm. Pure Appl. Math.28 (1975) 141. Zbl0295.35004
  14. [14] I.M. Gel'fand, L.A. Dikii, Russian Math. Survey, 30 (1975) 77. 
  15. [15] G.B. Whitman, Linear and non-linear waves, John Wiley, 1974. 
  16. [16] J. Boussinesq, Comptes Rendus, 72 (1871) 755-759. JFM03.0486.01

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