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The Painlevé property for the coupled Zakharov–Kuznetsov equation is verified with the WTC approach and new exact solutions of bell-type are constructed from standard truncated expansion. A symmetry transformation group theorem is also given out from a simple direct method.
A coupled KdV system with a free parameter proposed by Nutku and Oguz is considered. It is shown that the system passes the WTC's Painleve test for arbitrary value of the parameter. A further analysis yields that the parameter can be removed and the system can be decoupled.
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