Vector NLS solitons interacting with a boundary*Supported by NSFC No. 11601312, 11875040. (25th February 2021)

• Record Type: Journal Article
• Authors: Zhang, Cheng; Zhang, Da-jun
• Is Part Of: Communications in theoretical physics. Volume 73:Number 4(2021)
• Publication Date: 2021-02-25
• Subjects: polarizer effect -- solitons on the half-line -- vector nonlinear Schrödinger equation -- integrable boundary conditions -- boundary-bound states; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/abdeac
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: We construct multi-soliton solutions of the n -component vector nonlinear Schrödinger 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.