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Research Article | Open Access

Quasi-periodic solutions of Sawada-Kotera equation

Wenlei Li, Juanying Huo( )
School of Mathematics, Jilin University, Changchun, China
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Abstract

This paper establishes the existence of quasi-periodic solutions to the Sawada-Kotera equation on the torus T . By implementing a Nash-Moser iterative method, we demonstrate that for a prescribed Diophantine frequency vector λ ω ~ , such solutions exist for a set of parameters λ of positive Lebesgue measure.

Keywords

Sawada-Kotera equationquasi-periodic solutionsNash-Moser iterationsmall divisor problemHamiltonian PDEs
CLC number: 35L76, 70K43, 70K75

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AIMS Mathematics
Volume 11 Issue 3,
March 2026
Pages 5759-5775
DOI: 10.3934/math.2026237

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Li W, Huo J. Quasi-periodic solutions of Sawada-Kotera equation. AIMS Mathematics, 2026, 11(3): 5759-5775. https://doi.org/10.3934/math.2026237

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Received: 12 December 2025
Revised: 04 February 2026
Accepted: 24 February 2026
Published: 15 March 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)