Abstract
The new approach to deriving nonlinear evolution equations solvable by the inverse scattering method is proposed. In particular, this approach allows one to describe all equations solvable by the inverse scattering method for the Schrödinger operator.
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References
P.D. Lax: Comm. Pure Appl. Math.21 (1968) 467.
F. Calogero and A. Degasperis:Spectral Transform and Solitons. North-Holland Publishing Company, 1982.
C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura: Commun. Pure Appl. Math.27 (1974) 97.
V.K. Mel’nikov:On Equations Solvable by the Inverse Scattering Method for the Dirac Operator, Preprint P5-2000-278, JINR, Dubna, 2000.
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Mel’nikov, V.K. On equations solvable by the inverse scattering method for the Schrödinger operator. Czech J Phys 51, 1385–1394 (2001). https://doi.org/10.1023/A:1013390524343
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DOI: https://doi.org/10.1023/A:1013390524343