Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\)

DOI10.1007/s42985-022-00206-yzbMath1501.35059OpenAlexW4307171041WikidataQ115369412 ScholiaQ115369412MaRDI QIDQ2098091

Isahi Sánchez-Suárez, Pavel I. Naumkin, Nakao Hayashi

Publication date: 17 November 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-022-00206-y

zbMATH Keywords

modified scatteringasymptotics for large timefractional modified KdV equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional partial differential equations (35R11)

Related Items (3)

Modified scattering for the derivative fractional nonlinear Schrödinger equation ⋮ Large time asymptotics for the fractional modified Korteweg-de Vries equation of order \(\alpha \in \left[ 4,5\right)\) ⋮ Asymptotics of solutions for the fractional modified Korteweg-de Vries equation of order \(\alpha \in (2,3)\)

Cites Work

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• The initial value problem for the cubic nonlinear Klein-Gordon equation
• Sur quelques généralisations de l'équation de Korteweg-de Vries
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• Analysis I. Integral presentations asymptotic methods
• Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
• Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\)
• A Class of Bounded Pseudo-Differential Operators

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