Decouple a coupled KdV system of Nutku and Oguz

Details Decouple a coupled KdV system of Nutku and Oguz Decouple a coupled KdV system of Nutku and Oguz

2001-10-01

arxiv.org/abs/nlin/0110002v2

Physics Letters A 294 (2002) 84-86

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX 209, 4 pages

Scientific paper

10.1016/S0375-9601(01)00863-5

A coupled KdV system with a free parameter proposed by Nutku and O\~{g}uz is
considered. It is shown that the system passes the WTC's Painlev\'{e} test for
arbitrary value of the parameter. A further analysis yields that the parameter
can be scaled away and the system can be decoupled.

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