Wengu Chen

most citedOn the low regularity of the fifth order Kadomtsev-Petviashvili I equation

14 citations · 16 across the 3 of their papers we have counts for

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math.AP2009

Sharp Well-posedness for the Benjamin Equation

Wengu Chen, Zihua Guo, Jie Xiao

Having the ill-posedness in the range $s < - 3/4$ of the Cauchy problem for the Benjamin equation with an initial $H^{s} (R)$ data, we prove that the already-established loca…

math.AP2007★ 14 cited

On the low regularity of the fifth order Kadomtsev-Petviashvili I equation

Wengu Chen, Junfeng Li, Changxing Miao

We consider the fifth order Kadomtsev-Petviashvili I (KP-I) equation as $\partial_{t} u + α \partial_{x}^{3} u + \partial_{x}^{5} u + \partial_{x}^{- 1} \partial_{y}^{2} u + u u_{x} = 0,$ while $α \in R$ . We…

math.AP2007★ 2 cited

The well-posedness of Cauchy problem for dissipative modified Korteweg de Vries equations

Wengu Chen, Junfeng Li, Changxing Miao

In this paper we consider some dissipative versions of the modified Korteweg de Vries equation $u_{t} + u_{xxx} + ∣ D_{x} ∣^{α} u + u^{2} u_{x} = 0$ with $0 < α \leq 3$ . We prove some well-posedness result…