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 > Pattern Formation and Solitons

arXiv:2407.00112 (nlin)
[Submitted on 27 Jun 2024]

Title:Two-component nonlinear waves

Authors:G. T. Adamashvili
View PDF HTML (experimental)
Abstract:The generalized equation for the study of two-component nonlinear waves in different fields of physics is considered. In special cases, this equation is reduced to a set of the various well-known equations describing nonlinear solitary waves in the different areas of physics. Using both the slowly varying envelope approximation and the generalized perturbation reduction method, the generalized equation is transformed into the coupled nonlinear Schrodinger equations and the two-component nonlinear solitary wave solution is obtained. Explicit analytical expressions for the shape and parameters of two-component nonlinear wave consisting of two breathers oscillating with the sum and difference frequencies and wave numbers are presented. The solution of the generalized equation coincides with the vector 0\pi pulse of the self-induced transparency.
Subjects: Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2407.00112 [nlin.PS]
  (or arXiv:2407.00112v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.2407.00112

Submission history

From: Guram Adamashvili [view email]
[v1] Thu, 27 Jun 2024 13:38:08 UTC (107 KB)
Full-text links:

Access Paper:

view license
Current browse context:
nlin.PS
< prev   |   next >
new | recent | 2024-07
Change to browse by:
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?)