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Integrable field models on manifolds of the Lie groups

  • Elementary Particle Physics and Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

A wide class of integrable integro-differential equations with nonlocal nonlinearity is examined in the present paper. For an arbitrary generally noncommutative Lie group, an algorithm of integration is constructed for such problems. The efficiency of the algorithm is demonstrated on the example of the Euclidean group E(2).

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References

  1. S. P. Baranovskii, V. V. Mikheev, and I. V. Shirokov, Teor. Mat. Fiz., 199, No 1, 3–13 (2001).

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  2. I. V. Shirokov, Preprint, Omsk State University, Omsk (1998).

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Authors and Affiliations

  1. Omsk State University, Russia

    A. Yu. Uglirzh & I. V. Shirokov

Authors
  1. A. Yu. Uglirzh
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  2. I. V. Shirokov
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Corresponding author

Correspondence to I. V. Shirokov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 63–68, May, 2007.

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Uglirzh, A.Y., Shirokov, I.V. Integrable field models on manifolds of the Lie groups. Russ Phys J 50, 480–486 (2007). https://doi.org/10.1007/s11182-007-0070-z

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  • DOI: https://doi.org/10.1007/s11182-007-0070-z

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