10 citations · 48 across the 31 of their papers we have counts for
8 papers · 1 filter
Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions
Yi Zhao, Engui Fan
In this article, we focus on the inverse scattering transformation for the Fokas-Lenells (FL) equation with nonzero boundary conditions via the Riemann-Hilbert (RH) approach. Based…
The Sasa-Satsuma equation with non-vanishing boundary conditions
Lili Wen, Engui Fan
We concentrate on inverse scattering transformation for the Sasa-Satsuma equation with matrix spectral and nonzero boundary condition in this article. To circumvent mul…
Long-time asymptotic behavior of the modified Schrödinger equation via Dbar-steepest descent method
Yiling Yang, Engui Fan
In this paper, we consider the Cauchy problem for the modified NLS equation. Using nonlinear steepest descent method and combining the Dbar-analysis, we show that inside any fixed…
Long time asymptotics behavior of the focusing nonlinear Kundu-Eckhaus equation
Ruihong Ma, Engui Fan
We study the Cauchy problem for the focusing nonlinear Kundu-Eckhaus equation and construct long time asymptotic expansion of its solution in fixed space-time cone with $C(x_1,x_2,…
Long-time asyptotics behavior for the integrable modified Camassa-Holm equation with cubic nonlinearity
Jian Xu, Engui Fan
In this paper, we investigate the long-time asymptotic behavior of the solution to the initial value problem for the modified Camassa-Holm (mCH) equation with cubic nonlinearity. T…
The Riemann-Hilbert approach to focusing Kundu-Eckhaus equation with nonzero boundary conditions
Lili Wen, Engui Fan
In this article, we focus on investigating the focusing Kundu-Eckhaus equation with nonzero boundary condition. A appropriate two-sheeted Riemann surface is introduced to map the s…