Equilibrium of charges and differential equations solved by polynomials

Journal of Physics A: Mathematical and General

Volumn 37, Issue 4, 2004, Pages 1309-1321

  Loutsenko, Igor ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0842264228     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/4/017     Document Type: Article

References (11)

1. Adler M and Moser J 1978 On a class of polynomials connected with the Korteveg-de Vries equation Commun. Math. Phys. 61 1-30
2. Bartman A B 1984 A new interpretation of the Adler-Moser KdV polynomials: interaction of vortices Nonlinear and Turbulent Processes in Physics vol 3 (Chur: Harwood Academic) pp 1175-81
3. Burchnall J L and Chaundy T W 1929 A set of differential equations which can be solved by polynomials Proc. Land. Soc.
4. Berest Y and Louitsenko I 1997 Huygens' principle in Minkowski spaces and soliton solutions of the Korteweg-de Vries equation Commun. Math. Phys. 190 113-32
5. Duistermaat J J and Grünbaum F A 1986 Differential equations in the spectral parameter Commun. Math. Phys. 103 177-240
6. Ince E L 1956 Ordinary Differential Equations (New York: Dover)
7. Gaudin M 1995 États propres et valeurs propres de l'Hamiltonien d'appariement Travaux de Michel Gaudin, Modéles exactement résolus (France: Les Éditions de Physique)
8. Loutsenko I 2003 Integrable dynamics of charges related to bilinear hypergeometric equation Commun. Math. Phys. 242 251
9. Moser J 1975 Three integrable Hamiltonian systems connected with isospectral deformations Adv. Math. 16 197-220
10. Richardson R W 1965 Exact eigenstates of the pairing-force Hamiltonian II J. Math. Phys. 6 1034-51
11. See book by Sego G and references therein Orthogonal Polynomials (Providence, RI: American Mathematical Society)