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- W1997897237 abstract "We study some questions related to the well-posedness for the initial valueproblem associated to the system$u_{t}+u_{x x x}+a_3 v_{x x x}+u u_{x}+a_1 v v_{x}+a_2(uv)_x =0,$$b_1 v_{t}+v_{x x x}+b_2 a_3 u_{x x x}+v v_{x}+b_2 a_2 u u_{x}+b_2 a_1(uv)_x=0.$Using recent methods, we prove a sharp local result in Sobolevspaces. We also prove global result under some conditions on thecoefficients." @default.
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- W1997897237 date "2004-06-01" @default.
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- W1997897237 title "On the Cauchy problem for a coupled systemof KdV equations" @default.
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- W1997897237 doi "https://doi.org/10.3934/cpaa.2004.3.417" @default.
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