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Recurrent solutions of the Korteweg–de Vries equation with boundary force

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Abstract

In this paper, we will establish the existence of the bounded solution, periodic solution, quasi-periodic solution and almost periodic solution for the Korteweg–de Vries equation with boundary force.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, 130024, People’s Republic of China

    Mo Chen

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  1. Mo Chen
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Correspondence to Mo Chen.

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Communicated by G.D. Veerappa Gowda.

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Chen, M. Recurrent solutions of the Korteweg–de Vries equation with boundary force. Indian J Pure Appl Math 53, 112–126 (2022). https://doi.org/10.1007/s13226-021-00033-8

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  • DOI: https://doi.org/10.1007/s13226-021-00033-8

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