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Research Article | Open Access

Global solution to the complex short pulse equation

Liju Yu( ), Jingjun Zhang
Department of Mathematics, College of Data Science, Jiaxing University, Jiaxing 314001, China
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Abstract

This paper deals with global well-posedness of the solution to the complex short pulse equation. We first use regularized technology and the approximation argument to prove the local existence and uniqueness of this equation. Then, based on conserved quantities and energy analysis, we show that the solution can be extended globally in time for suitably small initial data.

Keywords

complex short pulse equationconserved quantitiesregularized solutionenergy methoduniqueness

References

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Electronic Research Archive
Volume 32 Issue 8,
August 2024
Pages 4809-4827
DOI: 10.3934/era.2024220

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Yu L, Zhang J. Global solution to the complex short pulse equation. Electronic Research Archive, 2024, 32(8): 4809-4827. https://doi.org/10.3934/era.2024220

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Received: 09 March 2024
Revised: 23 July 2024
Accepted: 31 July 2024
Published: 08 August 2024
©2024 the Author(s), licensee AIMS Press.

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