Differential equations for the Baker--Akhiezer functions of algebraic curves
Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 3, pp. 45-54.

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I. V. Cherednik. Differential equations for the Baker--Akhiezer functions of algebraic curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 3, pp. 45-54. http://geodesic.mathdoc.fr/item/FAA_1978_12_3_a4/

[1] Krichever I.M., “Integrirovanie nelineinykh uravnenii metodami algebraicheskoi geometrii”, Funkts. analiz, 11:1 (1977), 15–31 | MR | Zbl

[2] Gelfand I.M., Dikii L.A., “Rezolventa i gamiltonovy sistemy”, Funkts. analiz, 11:2 (1977), 11–27 | MR

[3] Matveev V.B., Abelian functions and solitons, preprint, no. 373, Institut Fizyki Teoretycznej Uniwersytetu Wroclawskiego, 1976

[4] Dubrovin V.A., “Periodicheskaya zadacha dlya uravneniya Kortevega–de Friza v klasse konechnozonnykh potentsialov”, Funkts. analiz, 9:3 (1975), 41–51 | MR | Zbl

[5] Andreev V.A., preprint No 26, FIAN, 1976

[6] Its A.R., “Obraschenie giperellipticheskikh integralov i integrirovanie nelineinykh differentsialnykh uravnenii”, Vestnik LGU, 7:2 (1976), 37–46

[7] Kozel V.O., Kotlyarov V.P., “Maizhe pepiodichni rozv'yazki pivneniya $u_{tt}-u_{xx}+\operatorname{sin}u=0$”, DAN Ukr. SSR, ser. A, 1976, no. 10, 878–881 | MR | Zbl

[8] Cherednik I.V., “Ob odnom metode polucheniya operatorov, pochti kommutiruyuschikh s zadannym”, UMN, XXXII:5 (1977), 168

[9] Cherednik I.V., “Ob odnom obobschenii differentsialnykh uravnenii KdF i sin-Gordon”, Funkts. analiz, 13:1 (1979), 81–82 | MR | Zbl

[10] Its O.R., Kotlyarov V.P., “Yavni formuli dlya rozv' yaziv neliniinogo rivnyaniya Shredingera”, DAN Ukr.SSR, ser. A, 11 (1976), 965–968 | MR

[11] Manin Yu.I., “Algebraicheskie aspekty nelineinykh differentsialnykh uravnenii”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, VINITI, M., 1978, 5–152 | MR

[12] Shubin M.A., Algebraicheskie aspekty teorii psevdodifferentsialnykh operatorov i uravnenii Laksa, Deponirovano VINITI 10/11 No 157, 1978

[13] Neveu A., Papanicolaou N., Integrability of the classical $[\overline\psi_i\psi_i]_2^2$ and $[\overline\psi_i\psi_i]_2^2-[\overline\psi_i\gamma_5\psi_i]_2^2$ interactions, preprint, Inst. for. Adv. Study, Princeton | MR

[14] Burchnall J.L, Chaundy T.W., “Commutative ordinary differential operators”, Proc. Royal. Soc. London, ser. A, 118 (1928), 557–583 | DOI | Zbl

[15] Baker H.F., “Note on the foregoing paper «Commutative ordinary differential operators» by J.L. Burchnall and T.W. Chaundy”, Proc. Royal. Soc. London, ser. A, 118 (1928), 584–593 | DOI | Zbl