Abstract
One gives the Lax representation for Benney's longwave equations. One constructs the “universal conserved densities.”
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akad. Nauk SSSR, Vol. 96, pp. 169–178, 1980.
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Lebedev, D.R., Manin, Y.I. Benney's longwave equations. II. Lax representation and conservation laws. J Math Sci 21, 769–776 (1983). https://doi.org/10.1007/BF01094439
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DOI: https://doi.org/10.1007/BF01094439