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Updated: May 8, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Solutions of the coupled Higgs field equations
Benoy Talukdar1, Swapan K Ghosh, Aparna Saha
1Department of Physics, Visva-Bharati University, Santiniketan 731235, India. binoy123@bsnl.in
Summary
This study analyzes coupled Higgs equations using dynamical system theory, revealing traveling-wave solitons within standing-wave solutions. These findings advance our understanding of complex field dynamics and wave phenomena.
Area of Science:
- Theoretical Physics
- Mathematical Physics
Background:
- Coupled Higgs equations model complex nucleonic fields.
- Understanding wave solutions is crucial in theoretical physics.
Purpose of the Study:
- To analyze the coupled Higgs equations using dynamical system theory.
- To investigate the existence and nature of traveling- and standing-wave solutions.
Main Methods:
- Transformation to Hamiltonian form via phase choice and traveling coordinates.
- Application of dynamical system theory for phase-space analysis.
- Identification of stable points in the system.
Main Results:
- The coupled Higgs equations were successfully reduced to a Hamiltonian form.
- Phase-space analysis identified stable points supporting wave solutions.
- Both traveling-wave and standing-wave solutions were found to be supported by the equation.
Conclusions:
- A traveling-wave soliton solution was identified.
- This soliton solution exists within a background of doubly periodic standing-wave solutions.
- The study provides new insights into the complex dynamics of Higgs fields.
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