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Coupled KdV equations of Hirota-Satsuma type

Sergei Yu. Sakovich
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Abstract

It is shown that the system of two coupled Korteweg-de Vries equations passes the Painlevé test for integrability in nine distinct cases of its coefficients. The integrability of eight cases is verified by direct construction of Lax pairs, whereas for one case it remains unknown.

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BibTeXRIS

Sergei Yu. Sakovich. 1999-07-01. Coupled KdV equations of Hirota-Satsuma type. https://doi.org/10.2991/jnmp.1999.6.3.2

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