1 citations · 3 across the 10 of their papers we have counts for
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Convergence problem of the Kawahara equation on the real line
Wei Yan, Weimin Wang, Xiangqian Yan
In this paper, we consider the convergence problem of the Kawahara equation \begin{eqnarray*} &&u_{t}+α\partial_{x}^{5}u+β\partial_{x}^{3}u+\partial_{x}(u^{2})=0 \end{eqnarray*} on…
The Cauchy problem for the generalized Ostrovsky equation with negative dispersion
Xiangqian Yan, Wei Yan
This paper is devoted to studying the Cauchy problem for the generalized Ostrovsky equation \begin{eqnarray*} u_{t}-β\partial_{x}^{3}u-γ\partial_{x}^{-1}u+\frac{1}{k+1}(u^{k+1})_{x…
Convergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random data
Xiangqian Yan, Yajuan Zhao, Wei Yan
In this paper, we consider the convergence problem of Schrödinger equation. Firstly, we show the almost everywhere pointwise convergence of Schrödinger equation in Fourier-Lebesgue…
The Cauchy problem for the generalized KdV equation with rough data and random data
Wei Yan, Xiangqian Yan, Jinqiao Duan +1
In this paper, we consider the Cauchy problem for the generalized KdV equation with rough data and random data. Firstly, we prove that as $t\longrigh…
Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
Wei Yan, Yimin Zhang, Yongsheng Li +1
We consider the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili (RMKP) equation \begin{align*} \partial_{x}\left(u_{t}-β\partial_{x}^{3}u +\partial_{x}(u^{2})\right…
The Cauchy problem for fractional Camassa-Holm equation in Besov space
Lili Fan, Hongjun Gao, Junfang Wang +1
In this paper, we consider the fractional Camassa-Holm equation modelling the propagation of small-but-finite amplitude long unidirectional waves in a nonlocally and nonlinearly el…