The N-soliton solution of a two-component modified nonlinear Schrödinger equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2011Embargo end date: 01 Jan 2011 English Publisher:Elsevier BVJournal:Physics Letters A, volume 375, pages 3,090-3,094 (issn: 0375-9601,

Copyright policy )

Authors: Matsuno, Yoshimasa;

doi: 10.1016/j.physleta.2011.06.066 , 10.48550/arxiv.1107.0776

arXiv: 1107.0776

The N-soliton solution of a two-component modified nonlinear Schrödinger equation

- Summary
- Subjects
- Metrics

Abstract

The $N$-soliton solution is presented for a two-component modified nonlinear Schr��dinger equation which describes the propagation of short pulses in birefringent optical fibers. The solution is found to be expressed in terms of determinants. The proof of the solution is carried out by means of an elementary theory of determinants. The generalization of the 2-component system to the multi-component system is discussed as well as a (2+1)-dimensional nonlocal equation arising from its continuum limit.

To appear in Phys. Lett. A (2011)

Related Organizations

Yamaguchi University
Japan

Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), FOS: Physical sciences, Antennas, waveguides in optics and electromagnetic theory, Soliton solutions, two-component system, Exactly Solvable and Integrable Systems (nlin.SI), modified nonlinear Schrödinger equation, $N$-soliton solution

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	13
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average