40 citations · 89 across the 10 of their papers we have counts for
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math.AP2017★ 19 cited
General Boundary Value Problems of the Korteweg-de Vries Equation on a Bounded Domain
R. A. Capistrano-Filho, Shu-Ming Sun, Bing-Yu Zhang
In this paper we consider the initial boundary value problem of the Korteweg-de Vries equation posed on a finite interval \begin{equation} u_t+u_x+u_{xxx}+uu_x=0,\qquad u(x,0)=ϕ(x)…
math.AP2017
Non-homogeneous Problems for Nonlinear Schrödinger Equations in a Strip Domain
Yu Ran, Shu-Ming Sun
This paper studies the initial-boundary-value problem (IBVP) of a nonlinear Schrödinger equation posed on a strip domain with non-homogeneous Dirichlet boun…