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

被引：6

作者：

Feng, Bao-Feng ^{[1
]}

Ohta, Yasuhiro ^{[2
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

[2] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2017年 / 13卷

基金：

美国国家科学基金会;

关键词：

bright-dark soliton; semi-discrete vector NLS equation; Hirota's bilinear method; Pfaffian; INVERSE SCATTERING TRANSFORM; INTEGRABLE RELATIVISTIC-EQUATIONS; DISPERSIVE DIELECTRIC FIBERS; UNIFIED APPROACH; OPTICAL PULSES; DISCRETIZATION; TRANSMISSION; CASORATI; WAVES;

D O I：

10.3842/SIGMA.2017.071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：16

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