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

Symmetry Integrability and Geometry-Methods and Applications

article

Bao-Feng Feng¹  Yasuhiro Ohta² 

[1] School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley;Department of Mathematics, Kobe University

关键词: bright-dark soliton;    semi-discrete vector NLS equation;    Hirota’s bilinear method;    Pfaf fian;   

DOI  :  10.3842/SIGMA.2017.071

来源: National Academy of Science of Ukraine

【 摘 要 】

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-bright-one-dark, and one-bright-two-dark soliton solutions are also given explicitly for three-component semi-discrete NLS equation. The asymptotic behavior is analysed for two-soliton solutions.

【 授权许可】

Unknown