N-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

2006/02/20 by Xiangjun Chen, Xiang-Jun Chen, Jie Yang +2 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.AO #nlin.PS

paper · pdf · doi:10.1088/0305-4470/39/13/006

11 pages, 4 figures. Phys. Lett. A 2006 (in press)

arxiv created 2006/02/20 · openalex publication_date 2006/03/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

For the case when all discrete spectral parameters are purely imaginary, an explicit N -soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions, consisting of arbitrary number of pure bright and/or dark solitons, is derived. Shifts of soliton positions due to collisions between solitons are analytically obtained, which are irrespective of the bright or dark characters of the participating solitons. Typical collisions between solitons are graphically shown.

Citations

• On the modulational instability of hydromagnetic waves parallel to the magnetic field

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