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Benney's longwave equations. II. Lax representation and conservation laws

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Abstract

One gives the Lax representation for Benney's longwave equations. One constructs the “universal conserved densities.”

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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