Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:2102.10374 (nlin)
[Submitted on 20 Feb 2021]

Title:Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions

Authors:K.K. Sabirov, J.R. Yusupov, M.M. Aripov, M. Ehrhardt, D.U. Matrasulov
View PDF
Abstract:We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional domain. Artificial boundary conditions that ensure the absence of backscattering are derived and their numerical implementation is demonstrated.
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Numerical Analysis (math.NA)
Cite as: arXiv:2102.10374 [nlin.SI]
  (or arXiv:2102.10374v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.2102.10374
Journal reference: Phys. Rev. E 103, 043305 (2021)
Related DOI: https://doi.org/10.1103/PhysRevE.103.043305

Submission history

From: Davron Matrasulov [view email]
[v1] Sat, 20 Feb 2021 15:42:05 UTC (148 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
nlin.SI
< prev   |   next >
new | recent | 2021-02
Change to browse by:
cond-mat
cond-mat.mes-hall
cs
cs.NA
math
math.NA
nlin

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)