4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DS2024
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice
Shengfu Deng, Shu-Ming Sun
This paper concerns the existence of generalized solitary waves (solitary waves with small ripples at infinity) for a diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. It is proved…
math.AP2016★ 1 cited
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…
math.AP2010★ 4 cited
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…