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On the invariance of a boundary-value problem for a nonlinear evolution equation

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Abstract

We obtain an invariance group for one boundary-value problem in the physics of the sea.

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References

  1. A. A. Berezovskii, Lectures on Nonlinear Boundary-Value Problems in Mathematical Physics [in Russian], Part II, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1974).

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  2. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

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  3. A. A. Berezovskii and T. M. Netesova, “On the problem of invariance of boundary-value problems,” in: Nonlinear Dynamic Processes in Physics and Mechanics [in Russian], Naukova Dumka, Kiev (1981), pp. 3–8

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Authors and Affiliations

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

    A. M. Netesova

Authors
  1. A. M. Netesova
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1281–1283, September, 1998.

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Netesova, A.M. On the invariance of a boundary-value problem for a nonlinear evolution equation. Ukr Math J 50, 1464–1467 (1998). https://doi.org/10.1007/BF02525254

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  • DOI: https://doi.org/10.1007/BF02525254

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