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Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system

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Abstract

We study a system inverse to the nonlinear dynamical Benney-Kaup system. For this system, we prove the existence of an infinite hierarchy of functionally independent and involution conservation laws; a pair of implicative and Noetherian operators is constructed which enables one to write the system in a bi-Hamiltonian form; we also present the explicit form of the Lax operator.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    I. S. Drobotskaya

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  1. I. S. Drobotskaya
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45 No. 3, pp. 353–360, March, 1993.

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Drobotskaya, I.S. Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system. Ukr Math J 45, 373–382 (1993). https://doi.org/10.1007/BF01061009

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  • DOI: https://doi.org/10.1007/BF01061009

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