Vector NLS solitons interacting with a boundary

• 作者: Cheng Zhang Da-jun Zhang
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（4）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 45-51
• 页数: 7页
• 语种: 英文

摘要

We construct multi-soliton solutions of the n-component vector nonlinear Schr(o)dinger equation on the half-line subject to two classes of integrable boundary conditions (BCs): the homogeneous Robin BCs and the mixed Neumann/Dirichlet BCs.The construction is based on the so-called dressing the boundary,which generates soliton solutions by preserving the integrable BCs at each step of the Darboux-dressing process.Under the Robin BCs,examples,including boundary-bound solitons,are explicitly derived;under the mixed Neumann/Dirichlet BCs,the boundary can act as a polarizer that tunes different components of the vector solitons.Connection of our construction to the inverse scattering transform is also provided.