Hydrodynamic Foundation and Painleve Analysis of Hirota-Satsuma-Type Equations.

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  • Espinosa Aurea
    Instituto de F\iacute;sica, UNAM, Apdo. Postal 20–364, México DF 01000
  • Fujioka Jorge
    Instituto de F\iacute;sica, UNAM, Apdo. Postal 20–364, México DF 01000

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  • Hydrodynamic Foundation and Painleve An
  • Hydrodynamic Foundation and Painlevé Analysis of Hirota-Satsuma-Type Equations

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In this communication the Painlevé-Weiss (PW) analysis is applied to Hirota-Satsuma-type equations, and the hydrodynamic foundation of such equations is presented. It is found that among all the equations of this kind, only the original Hirota-Satsuma eq., and the equation due to Ablowitz, Kaup, Newell and Segur, possess the PW property.

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