On Stationary Solutions of KdV and mKdV Equations

DOI10.1007/978-3-319-32857-7_6zbMath1360.34042arXiv1509.09272OpenAlexW2963524078MaRDI QIDQ2954411

A. A. Nikolaev, Andrei V. Faminskii

Publication date: 13 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09272

zbMATH Keywords

KdV equationstationary solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Stability of cnoidal waves
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• An example of non-decreasing solution for the KdV equation posed on a bounded interval
• Isoinertial family of operators and convergence of KdV cnoidal waves to solitons
• Unstable snoidal waves
• Positivity Properties of the Fourier Transform and the Stability of Periodic Travelling-Wave Solutions
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain

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