40 citations · 89 across the 10 of their papers we have counts for
10 papers
Stability of solitary waves for generalized -Boussinesq system: The Hamiltonian case
Roberto de A. Capistrano Filho, Jose Raul Quintero, Shu-Ming Sun
The -Boussinesq system is a model of two equations that can describe the propagation of small-amplitude long waves in both directions in the water of finite depth. Considerin…
Computability of the Solutions to Navier-Stokes Equations via Recursive Approximation
Shu-Ming Sun, Ning Zhong, Martin Ziegler
As one of the seven open problems in the addendum to their 1989 book "Computability in Analysis and Physics", Pour-El and Richards proposed ``... the recursion theoretic study of p…
Initial boundary value problem for Korteweg-de Vries equation: a review and open problems
Roberto de A. Capistrano-Filho, Shu-Ming Sun, Bing-Yu Zhang
In the last 40 years the study of initial boundary value problem for the Korteweg-de Vries equation has had the attention of researchers from various research fields. In this note…
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)…
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…
Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane
Yu Ran, Shu-Ming Sun, Bing-Yu Zhang
This paper discusses the initial-boundary-value problems (IBVP) of nonlinear Schrödinger equations posed in a half plane with nonhomogeneous Dirich…
Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations
Mark D. Groves, Shu-Ming Sun, Erik Wahlén
We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit bright line soliton solution. The existence of a family of periodic solitons, which…
Nonhomogeneous Boundary-Value Problems for One-Dimensional Nonlinear Schrödinger Equations
Jerry L. Bona, Shu-Ming Sun, Bing-Yu Zhang
This paper is concerned with initial-boundary-value problems (IBVPs) for a class of nonlinear Schrödinger equations posed either on a half line or on a bounded inter…
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
Boris Buffoni, Mark D. Groves, Shu-Ming Sun +1
In this paper we show that the hydrodynamic problem for three-dimensional water waves with strong surface-tension effects admits a fully localised solitary wave which decays to the…
Asymptotic linear stability of solitary water waves
Robert L. Pego, Shu-Ming Sun
We prove an asymptotic stability result for the water wave equations linearized around small solitary waves. The equations we consider govern irrotational flow of a fluid with cons…