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The Mirror Systems of Integrable Equations

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We provide an algorithm to convert integrable equations to regular systems near noncharacteristic, movable singularity manifolds of solutions. We illustrate how the algorithm is equivalent to the Painlevé test. We also use thealgorithm to prove the convergence of the Laurent series obtained from the Painlevé test.
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Document Type: Original Article

Affiliations: The Hong Kong University of Science and Technology

Publication date: January 1, 2000

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