Coupled KdV equations of Hirota-Satsuma type

Details Coupled KdV equations of Hirota-Satsuma type Coupled KdV equations of Hirota-Satsuma type

1999-01-19

arxiv.org/abs/solv-int/9901005v3

J. Nonlinear Math. Phys. 6 (1999) 255-262

Physics

Mathematical Physics

Scientific paper

10.2991/jnmp.1999.6.3.2

It is shown that the system of two coupled Korteweg-de Vries equations
passes the Painlev\'e 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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