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Superposition formulas for integrable vector evolution equations

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Abstract

We use the Bäcklund transformation to construct superposition formulas for solutions of some integrable vector equations.

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References

  1. A. G. Meshkov and V. V. Sokolov, Comm. Math. Phys., 232, 1–18 (2002).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. A. G. Meshkov and V. V. Sokolov, Theor. Math. Phys., 139, 609–622 (2004).

    Article  MathSciNet  Google Scholar 

  3. M. Yu. Balakhnev, Theor. Math. Phys., 142, 8–14 (2005).

    Article  MathSciNet  Google Scholar 

  4. A. G. Meshkov and M. Ju. Balakhnev, SIGMA, 1, 027 (2005); arXiv:nlin/0512032v1 [nlin.SI] (2005).

    MathSciNet  Google Scholar 

  5. M. Yu. Balakhnev, Math. Notes, 82, 448–450 (2007).

    Article  MATH  MathSciNet  Google Scholar 

  6. L. Bianchi, Lezioni di Geometria Differenziale: Seconda edizione, riveduta e cosiderevolmente aumentata, in due volumi, Vol. 2, Enrico Spoerri, Pisa (1903), p. 418.

    MATH  Google Scholar 

  7. I. Z. Golubchik and V. V. Sokolov, Theor. Math. Phys., 124, 909–917 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  8. E. K. Sklyanin, “On complete integrability of the Landau-Lifshitz equation,” Preprint E-3-79, LOMI, Leningrad (1979).

    MATH  Google Scholar 

  9. M. Ju. Balakhnev, Appl. Math. Lett., 18, 1363–1372 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  10. S. I. Svinolupov and V. V. Sokolov, Theor. Math. Phys., 100, 959–962 (1994).

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Orel Technical University, Orel, Russia

    M. Yu. Balakhnev

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  1. M. Yu. Balakhnev
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Correspondence to M. Yu. Balakhnev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 2, pp. 261–267, February, 2008.

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Balakhnev, M.Y. Superposition formulas for integrable vector evolution equations. Theor Math Phys 154, 220–226 (2008). https://doi.org/10.1007/s11232-008-0021-z

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  • DOI: https://doi.org/10.1007/s11232-008-0021-z

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