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On the Bäcklund transformation for the Gel’fand-Dickey equations. (English) Zbl 0481.35075

35Q99PDE of mathematical physics and other areas
35A22Transform methods (PDE)
Full Text: DOI
[1] Adler, M., Moser, J.: Commun. Math. Phys.61, 1--30 (1978) · Zbl 0428.35067 · doi:10.1007/BF01609465
[2] Deift, P.: Duke Math. J.45, No. 2, 1978
[3] Miura, R.M.: J. Math. Phys.9, 1202--1204 (1968) · Zbl 0283.35018 · doi:10.1063/1.1664700
[4] Dickey, L.A., Gel’fand, I.: Funkt. Anal. Jego Prilozh.10, No. 4 (1976)
[5] Kuperschmidt, B., Wilson, G.: Modifying Lax equations and the second Hamiltonian structure. Invent. Math.62, 403--436 (1981) · Zbl 0464.35024 · doi:10.1007/BF01394252
[6] Ehlers, F., Knörrer, H.: An algebra-geometric interpretation of the Bäcklund transformation for the Korteweg-deVries equation (to appear)
[7] Adler, M.: Invent. Math.50, 219--248 (1979) · Zbl 0393.35058 · doi:10.1007/BF01410079
[8] Adler, M., van Moerbeke, P.: Adv. Math.38, 318--379 (1980) · Zbl 0455.58010 · doi:10.1016/0001-8708(80)90008-0
[9] Moser, J.: Adv. Math.16, 1--23 (1975) · Zbl 0303.34019 · doi:10.1016/0001-8708(75)90151-6
[10] van Moerbeke, P.: Invent. Math.37, 45--81 (1976) · Zbl 0361.15010 · doi:10.1007/BF01418827
[11] van Moerbeke, P., Mumford, D.: Acta Math.143, 93--154 (1979) · Zbl 0502.58032 · doi:10.1007/BF02392090
[12] Krichever, I.: Funct. Analy. Prilo12 (1), 76--78 (1978)
[13] Kac, M., van Moerbeke, P.: Proc. Nat. Acad. Sci., USA12 (4), 1627--1629 (1975) · Zbl 0343.34003 · doi:10.1073/pnas.72.4.1627