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Decoupling Problem for Systems of Quasi-Linear pde’s

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Abstract

The necessary and sufficient conditions for the decoupling of a quasi-linear system of partial differential equations into k non-interacting subsystems are derived. Several necessary conditions for the decoupling are found and applied to the Benney system.

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Authors and Affiliations

  1. Department of Mathematics, Queen’s University, Kingston, K7L 3N6, Canada

    Oleg I. Bogoyavlenskij

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  1. Oleg I. Bogoyavlenskij
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Correspondence to Oleg I. Bogoyavlenskij.

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Communicated by L. Takhtajan

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Bogoyavlenskij, O.I. Decoupling Problem for Systems of Quasi-Linear pde’s. Commun. Math. Phys. 269, 545–556 (2007). https://doi.org/10.1007/s00220-006-0119-9

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  • DOI: https://doi.org/10.1007/s00220-006-0119-9

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