Utilizing Birkhoff normal form, this paper demonstrates the existence of small-amplitude quasi-periodic solutions, indicating advances in understanding Korteweg-de Vries dynamics.
In this paper, we use the Birkhoff normal form and momentum conservation to prove the existence of real analytic small–amplitude quasi–periodic solutions for the Korteweg-de Vries type equation system.
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Chang et al. (2025) studied this question.
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