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Dynamics
Article . 2025 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2673-8716/5/3/31/pdf
Data sources: Multidisciplinary Digital Publishing Institute
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Dynamics
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Breather and Rogue Wave Solutions of a New Three-Component System of Exactly Solvable NLEEs

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2025 English Publisher:MDPI AGJournal:Dynamics, volume 5, page 31 (eissn: 2673-8716, Copyright policy )
Authors: Aleksander Stefanov; Stanislav Varbev;

doi: 10.3390/dynamics5030031

Breather and Rogue Wave Solutions of a New Three-Component System of Exactly Solvable NLEEs

Abstract

We derive a new exactly solvable multi-component system of non-linear evolution equations (NLEEs). The system consists of three 1+1-dimensional evolution equations—one first-order and two second-order in the spatial variable. We review their Lax representation, formulate the scattering problem, and derive the soliton-like solutions of the system.

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Keywords

integrable systems, inverse scattering, polynomial lax pairs, multi-component NLEE

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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