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arxiv: nlin/0110002 · v2 · submitted 2001-10-01 · 🌊 nlin.SI

Decouple a coupled KdV system of Nutku and O\~{g}uz

classification 🌊 nlin.SI
keywords systemparametercouplednutkuanalysisarbitraryawayconsidered
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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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