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Gauge transformation of simple waves

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Abstract

In this paper we find some connections between simple (Riemann) waves and nonlinear representations of local gauge groups originating from orthogonal and pseudo-orthogonal groups. These representations are obtained by introducing fibre bundles for Riemann waves and are symmetries of the original equation.

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References

  1. Riemann, G.E.B., ‘Über die Fortpflanzung ebener Luftwellen von endlicher Schwingungsweite’, Abhandl. Konigl. Ges. Wiss. Göttingen, 8 (1869).

  2. BurnatM., Arch. Mech. Stos. 18, 4 (1966).

    Google Scholar 

  3. PeradzyńskiZ., Bull. Acad. Pol. Sec. Sci. Tech. 19, 9 (1971).

    Google Scholar 

  4. Kalinowski, M.W., ‘On the Old-New Method of Solving Nonlinear Equations’, Warsaw University, preprint IFT/13/80.

  5. KalinowskiM.W., Lett. Math. Phys. 6, 17 (1982).

    Google Scholar 

  6. LandauL. and LifshitzE., Mechanics of Continuous Media, Mir, Moscow, 1952 (in Russian).

    Google Scholar 

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Partially supported by NSF contract INT 73-20002A01.

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Kalinowski, M.W. Gauge transformation of simple waves. Lett Math Phys 7, 479–486 (1983). https://doi.org/10.1007/BF00402247

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  • DOI: https://doi.org/10.1007/BF00402247

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