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Journal of Nonlinear Mathematical Physics
Article . 2000 . Peer-reviewed
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Journal of Nonlinear Mathematical Physics
Article
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Preprint . 2000
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Article . 2000
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https://dx.doi.org/10.48550/ar...
Article . 2000
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Asymptotic Solitons of the Johnson Equation

Asymptotic solitons of the Johnson equation
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2000Embargo end date: 01 Jan 2000 English Publisher:Springer Science and Business Media LLCJournal:Journal of Nonlinear Mathematical Physics, volume 7, page 284 (eissn: 1776-0852, Copyright policy )
Authors: Anders, Igor; Boutet de Monvel, Anne;

doi: 10.2991/jnmp.2000.7.3.4 , 10.48550/arxiv.math/0007205

arXiv: math/0007205

Asymptotic Solitons of the Johnson Equation

Abstract

We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as $x\to+\infty$. We obtain asymptotic formulas as $t\to\infty$ for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.

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Keywords

infinite series of asymptotic solitons, Mathematics - Analysis of PDEs, KdV equations (Korteweg-de Vries equations), FOS: Mathematics, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, Asymptotic expansions of solutions to PDEs, cylindrical Kadomtsev-Petviashvili equation, existence of non-decaying real solutions, Analysis of PDEs (math.AP)

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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!
8
Average
Top 10%
Average
Green
gold