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Schimming, Rainer
A formal series solution of the one-dimensional Schrödinger equation. (English). Archivum Mathematicum, vol. 27 (1991), issue 1, pp. 85-93
MSC: 34A05, 34A25, 34A45, 34E05, 34L40 | MR 1189645 | Zbl 0756.34009
References:
[1] M. Adleг, J. Moser: On a Class of Polynomials Connected with the Korteweg-de Vries Equation. Commun. math. Phys. 61 (1978), 1-30. MR 0501106
[2] J. L. Burchnall, T. W. Chaundy: A set of differential equations which can be solved by polynomials. Proc. London Math. Soc. 30 (1929-30), 401-414.
[3] J. Hadamard: Lectures on Cauchy's Problem. Yale University Press, New Haven, 1923.
[4] J. E. Lagnese: A New Differential Operator of the Pure Wave Type. J. Diff. Equ. 1 (1965), 171-187. MR 0206504 | Zbl 0134.31102
[5] J. E. Lagnese: The Structure of a Class of Huygens' Operators. J. Math. Mech. 18 (1969), 1195-1201. MR 0243204 | Zbl 0185.18602
[6] R. Schimming: Korteweg-de Vries-Hierarchie und Huygenssches Prinzip. Dresdener Seminar zuг Theoretischen Physik Nr. 26, 1986.
[7] R. Schimming: An explicit expression for the Korteweg-de Vries hierarchy. Zeitschrift f. Аnalysis u. ihre Аnw. 7 (1988), 203-214. MR 0951118 | Zbl 0659.35089
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