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

Yi Wei; Yi Wei

doi:10.3934/era.2023342

Electronic Research Archive

2023, Volume 31, Issue 11: 6790-6802. doi: 10.3934/era.2023342

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

Yi Wei ^{1,2
,
,}

1.
School of Medical Information Engineering, Jining Medical University, Rizhao 276826, China
2.
School of Mathematics, Shandong University, Jinan 250100, China

Received: 06 September 2023 Revised: 06 October 2023 Accepted: 09 October 2023 Published: 19 October 2023

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.
- RB method,
- CHF equation,
- Bäcklund transformation,
- traveling wave solution,
- NLPDEs
Citation: Yi Wei. The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation[J]. Electronic Research Archive, 2023, 31(11): 6790-6802. doi: 10.3934/era.2023342

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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.

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