Generalized Wronskian relations, one-dimensional Schrödinger equation and nonlinear partial differential equations solvable by the inverse-scattering method

Author:

Calogero F.

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Reference19 articles.

1. C. S. Gardner, J. M. Green, M. D. Kruskal andR. M. Miura:Phys. Rev. Lett.,19, 1095 (1967);A. C. Scott, F. Y. F. Chu andD. W. McLaughlin:Proc. IEEE,61, 1443 (1973). See also the papers byM. Kruskal and byH. Flaschka andA. C. Newell: inDynamical Systems, Theory and Applications, edited byJ. Moser, Lectures Notes in Physics, Vol.38 (Berlin, 1975).

2. F. Calogero:Generalized Wronskian relation: a novel approach to Bargmann-equivalent and phase-equivalent potentials, to be published in theFestschrift in honor of V. Bargmann, edited byB. Simon andA. S. Wightman (1976).

3. F. Calogero:Lett. Nuovo Cimento,14, 443 (1975).

4. M. J. Ablowitz, D. J. Kaup, A. C. Newell andH. Segur:Studies Appl. Math.,53, 249 (1974);T. Kotera andK. Sawada:Journ. Phys. Soc. Japan,39, No. 2 (August 1975).

5. For instance the extension to the multichannel Schrödinger case has already been done, in collaboration withA. Degasperis (to be published); work in other directions is in progress.

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