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Pade Approximants, Symbolic Evaluations, and Computation of Solitons in Two-Field Antiferromagnet Model

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Abstract

An efficient analytic–numerical method for finding soliton solutions in the gauge-invariant Heisenberg antiferromagnet model is suggested. The method is based on power and asymptotic series and on the analytic continuation technique: re-expansions and Pade approximants. Symbolic evaluations are used both for constructing the series and for efficient finding initial approximations to the solutions.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Vorob'evy gory, Moscow, 119992, Russia

    A. I. Bogolyubsky

  2. Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    S. L. Skorokhodov

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  1. A. I. Bogolyubsky
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  2. S. L. Skorokhodov
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Bogolyubsky, A.I., Skorokhodov, S.L. Pade Approximants, Symbolic Evaluations, and Computation of Solitons in Two-Field Antiferromagnet Model. Programming and Computer Software 30, 95–99 (2004). https://doi.org/10.1023/B:PACS.0000021267.39654.17

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  • DOI: https://doi.org/10.1023/B:PACS.0000021267.39654.17

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