N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Feng, B.-F., Ohta, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148759
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation / B.-F. Feng, Y. Ohta // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 51 назв. — англ.

In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are explicitly presented for two-component semi-discrete NLS equation; two-br...