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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

12 Issues per year


IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

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1865-7109
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Volume 72, Issue 1

Issues

Darboux Transformation for Coupled Non-Linear Schrödinger Equation and Its Breather Solutions

Lili Feng
  • School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Fajun Yu
  • Corresponding author
  • School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Li Li
  • School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2016-12-21 | DOI: https://doi.org/10.1515/zna-2016-0342

Abstract

Starting from a 3×3 spectral problem, a Darboux transformation (DT) method for coupled Schrödinger (CNLS) equation is constructed, which is more complex than 2×2 spectral problems. A scheme of soliton solutions of an integrable CNLS system is realised by using DT. Then, we obtain the breather solutions for the integrable CNLS system. The method is also appropriate for more non-linear soliton equations in physics and mathematics.

Keywords: Coupled Schrödinger System; Darboux Transformation; Exact Solutions

PACS: 05.45.Yv; 42.65.Tk; 42.50.Gy

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About the article

Received: 2016-09-06

Accepted: 2016-11-10

Published Online: 2016-12-21

Published in Print: 2017-01-01


Citation Information: Zeitschrift für Naturforschung A, Volume 72, Issue 1, Pages 9–15, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2016-0342.

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