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Approximate Transformation Groups and Symmetries

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Approximate and Renormgroup Symmetries

Part of the book series: Nonlinear Physical Science ((NPS))

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Abstract

A detailed discussion of the material presented here as well as of the theory of the multi-parameter approximate groups can be found in [1].

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References

  1. V. A. Baikov, R. K. Gazizov, and N. H. Ibragimov. Approximate symmetries. Math. Sbornik, 136 (178), No. 3: 435–450, 1988. English transl., Math. USSR Sb., 64 (1989), No. 2, pp. 427–441.

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  2. V. A. Baikov, R. K. Gazizov, and N. H. Ibragimov. Approximate symmetries and conservation laws. Trudy Matem. Inst. Steklova, 200:35–45, 1991. English transl. by AMS, Proceedings of the Steklov Institute of Mathematics, No. 2 (1993), pp. 35–47.

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  3. N. H. Ibragimov, editor. CRC Handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical developments and computational methods. CRC Press Inc., Boca Raton, 1996.

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  4. N. H. Ibragimov. Perturbation methods in group analysis. In Differential equations and chaos, pages 41–60, New Delhi, 1996. New Age International Publishers. Reprinted in: N. H. Ibragimov, Selected Works, Vol. II, ALGA Publications, Karlskrona. 2006, Paper 12.

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  5. N. H. Ibragimov. Elementary Lie group analysis and ordinary differential equations. John Wiley & Sons, Chichester, 1999.

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© 2009 Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg

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(2009). Approximate Transformation Groups and Symmetries. In: Approximate and Renormgroup Symmetries. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00228-1_2

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