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Volume 4, Issue 3
Explicit Traveling Wave Solutions and Their Dynamical Behaviors for the Coupled Higgs Field Equation

Keqin Zhao & Zhenshu Wen

DOI: 10.12150/jnma.2022.465

J. Nonl. Mod. Anal., 4 (2022), pp. 465-474.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we focus on the traveling wave solutions of the coupled Higgs field equation from the perspective of dynamical systems. Through the phase portraits, in addition to periodic wave solutions and solitary wave solutions, we also obtain explicit periodic singular wave solutions, singular wave solutions and kink wave solutions, which were not found in the previous works. The dynamical behavior of these solutions and their internal relations are revealed through asymptotic analysis. The results will help supplement the study of field equation.

  • Keywords

Coupled Higgs field equation, Traveling wave solutions, Kink wave solutions.

  • AMS Subject Headings

34C60, 35B32, 35C07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-465, author = {Zhao , Keqin and Wen , Zhenshu}, title = {Explicit Traveling Wave Solutions and Their Dynamical Behaviors for the Coupled Higgs Field Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {3}, pages = {465--474}, abstract = {

In this paper, we focus on the traveling wave solutions of the coupled Higgs field equation from the perspective of dynamical systems. Through the phase portraits, in addition to periodic wave solutions and solitary wave solutions, we also obtain explicit periodic singular wave solutions, singular wave solutions and kink wave solutions, which were not found in the previous works. The dynamical behavior of these solutions and their internal relations are revealed through asymptotic analysis. The results will help supplement the study of field equation.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.465}, url = {http://global-sci.org/intro/article_detail/jnma/20718.html} }
TY - JOUR T1 - Explicit Traveling Wave Solutions and Their Dynamical Behaviors for the Coupled Higgs Field Equation AU - Zhao , Keqin AU - Wen , Zhenshu JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 465 EP - 474 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.465 UR - https://global-sci.org/intro/article_detail/jnma/20718.html KW - Coupled Higgs field equation, Traveling wave solutions, Kink wave solutions. AB -

In this paper, we focus on the traveling wave solutions of the coupled Higgs field equation from the perspective of dynamical systems. Through the phase portraits, in addition to periodic wave solutions and solitary wave solutions, we also obtain explicit periodic singular wave solutions, singular wave solutions and kink wave solutions, which were not found in the previous works. The dynamical behavior of these solutions and their internal relations are revealed through asymptotic analysis. The results will help supplement the study of field equation.

Keqin Zhao & Zhenshu Wen. (2022). Explicit Traveling Wave Solutions and Their Dynamical Behaviors for the Coupled Higgs Field Equation. Journal of Nonlinear Modeling and Analysis. 4 (3). 465-474. doi:10.12150/jnma.2022.465
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