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

2017/04/30 by Bao-Feng Feng, Yasuhiro Ohta · 2 citations
Physics and Astronomy · Mathematics · #nlin.SI #math-ph #math.MP

paper · pdf · doi:10.3842/sigma.2017.071

published as SIGMA 13 (2017), 071, 16 pages

arxiv created 2017/09/06 · arxiv updated 2017/09/07

Abstract

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.

Cited by

• Novel periodic solutions and rogue waves of the defocusing scalar and coupled Ablowitz-Ladik systems on a nonzero background
• Soliton and breather interactions in the integrable discrete focusing Manakov system via Hirota's method

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