Two-component soliton systems and the Painlevé equations
نویسنده
چکیده
We give an extension of the two-component KP hierarchy by considering additional time variables. We obtain the linear 2× 2 system by taking into consideration the hierarchy through a reduction procedure. The Lax pair of the Schlesinger system and the sixth Painlevé equation is given from this linear system. A unified approach to treat the other Painlevé equations from the usual two-component KP hierarchy is also considered.
منابع مشابه
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