Justification of the NLS approximation for the KdV equation using the Miura transformation

DOI10.1155/2011/854719zbMath1417.37251OpenAlexW2112452860WikidataQ58654863 ScholiaQ58654863MaRDI QIDQ541166

Guido Schneider

Publication date: 6 June 2011

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/854719

zbMATH Keywords

KdV equationMiura transformationNLS equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

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• Weakly nonlinear wavepackets in the Korteweg-de Vries equation: The KdV/NLS connection

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