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Research Article | Open Access

The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation

Yi Wei1,2( )
School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China
School of Mathematics, Shandong University, Jinan 250100, China
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Abstract

By using the Riccati-Bernoulli (RB) subsidiary ordinary differential equation method, we proposed to solve kink-type envelope solitary solutions, periodical wave solutions and exact traveling wave solutions for the coupled Higgs field (CHF) equation. We get many solutions by applying the Bäcklund transformations of the CHF equation. The proposed method is simple and efficient. In fact, we can deal with some other classes of nonlinear partial differential equations (NLPDEs) in this manner.

Keywords

RB methodCHF equationBäcklund transformationtraveling wave solutionNLPDEs

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Electronic Research Archive
Volume 31 Issue 11,
November 2023
Pages 6790-6802
DOI: 10.3934/era.2023342

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Cite this article:
Wei Y. The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation. Electronic Research Archive, 2023, 31(11): 6790-6802. https://doi.org/10.3934/era.2023342

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Received: 06 September 2023
Revised: 06 October 2023
Accepted: 09 October 2023
Published: 15 November 2023
©2023 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)