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On a revisit to the Painlevé test for integrability and exact solutions for Yang’s self-dual equations forSU (2) gauge fields

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Abstract

Painlevé test (Jimboet al [1]) for integrability for the Yang’s self-dual equations forSU(2) gauge fields has been revisited. Jimboet al analysed the complex form of the equations with a rather restricted form of singularity manifold. They did not discuss exact solutions in that context. Here the analysis has been done starting from the real form of the same equations and keeping the singularity manifold completely general in nature. It has been found that the equations, in real form, pass the Painlevé test for integrability. The truncation procedure of the same analysis leads to non-trivial exact solutions obtained previously and auto-Backlund transformation between two pairs of those solutions

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Authors and Affiliations

  1. Central Drugs Laboratory, 3 Kyd Street, 700 016, Kolkata, India

    Susanto Chakraborty

  2. Siliguri B.Ed. College, P.O. Kadamtala (Shibmandir), 734 011, Siliguri, India

    Pranab Krishna Chanda

Authors
  1. Susanto Chakraborty
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  2. Pranab Krishna Chanda
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Chakraborty, S., Chanda, P.K. On a revisit to the Painlevé test for integrability and exact solutions for Yang’s self-dual equations forSU (2) gauge fields. Pramana - J Phys 66, 971–983 (2006). https://doi.org/10.1007/BF02708452

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  • DOI: https://doi.org/10.1007/BF02708452

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