Wengu Chen

activity

20072026

most citedLow regularity solutions of two fifth-order KdV type equations

68 citations · 144 across the 20 of their papers we have counts for

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3 papers · 1 filter

math.AP2007★ 68 cited

Low regularity solutions of two fifth-order KdV type equations

Wengu Chen, Junfeng Li, Changxing Miao +1

The Kawahara and modified Kawahara equations are fifth-order KdV type equations and have been derived to model many physical phenomena such as gravity-capillary waves and magneto-s…

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…