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https://doi.org/10.20944/prepr...
Article . 2023 . Peer-reviewed
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Lax Pairs for the Modified KdV Equation

descriptionPublicationkeyboard_double_arrow_right Article 28 Dec 2023 English Publisher:MDPI AGJournal:Axioms, volume 13, page 121 (eissn: 2075-1680, Copyright policy )
Authors: Georgy I. Burde;

doi: 10.3390/axioms13020121 , 10.20944/preprints202312.2129.v1

Lax Pairs for the Modified KdV Equation

Abstract

Multi-parameter families of Lax pairs for the modified Korteweg-de Vries (mKdV) equation are defined by applying a direct method developed in the present study. The gauge transformations, converting the defined Lax pairs to some simpler forms, are found. The direct method and its possible applications to other types of evolution equations are discussed.

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Keywords

integrable equations, Lax pairs, QA1-939, direct method, Mathematics

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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!
1
Average
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