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Extension of the spectral transform method for solving nonlinear evolution equations

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Lettere al Nuovo Cimento (1971-1985)

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  1. The original idea is due toC. S. Gardner, J. M. Greene, M. D. Kruskal andR. M. Miura:Phys. Rev. Lett.,19, 1095 (1967). For the approach used below see:F. Calogero:Lett. Nuovo Cimento,14, 443 (1975);F. Calogero andA. Degasperis:Nuovo Cimento,32 B, 201 (1976);39 B, 1 (1977).

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  2. See also eqs. (3.23)-(3.25) ofF. Calogero:Nonlinear evolution equations solvable by the inverse spectral transform, to appear in theProceedings of the Conference on the Mathematical Problems in Theoretical Physics, Rome, June 6–15, 1977, Lecture Notes in Physics (Berlin, 1978).

  3. A direct derivation of (27) obtains setting φ(x)=x in eq. (2.13) of the paper byF. Calogero: inStudies in Mathematical Physics, edited byE. H. Lieb, B. Simon andA. S. Wightman (Princeton, N. J., 1976), p. 107.

  4. F. Calogero andA. Degasperis:Lett. Nuovo Cimento,22, 138 (1978).

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, 00185, Roma, Italia

    F. Calogero & A. Degasperis

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Roma, Italy

    F. Calogero & A. Degasperis

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  1. F. Calogero
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  2. A. Degasperis
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Calogero, F., Degasperis, A. Extension of the spectral transform method for solving nonlinear evolution equations. Lett. Nuovo Cimento 22, 131–137 (1978). https://doi.org/10.1007/BF02804669

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