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 - <p style="text-align: justify;">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.</p>