TY - JOUR
T1 - Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation
AU - Xie , Shaolong
AU - Hong , Xiaochun
AU - Tan , Ying
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 443
EP - 453
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.443
UR - https://global-sci.org/intro/article_detail/jnma/20716.html
KW - Fujimoto-Watanabe equation, Solitary loop wave, Periodic loop
wave, Peakon, Periodic cusp wave.
AB - <p style="text-align: justify;">In this paper, the theory of dynamical systems is employed to
investigate loop waves and cusp waves of the Fujimoto-Watanabe equation.
These waves contain solitary loop waves, periodic loop waves, peakons and
periodic cusp waves. Under fixed parameter conditions, their exact explicit
parametric expressions are given.</p>