TY - JOUR
T1 - Bifurcations and Exact Solutions of the Gerdjikov-Ivanov Equation
AU - Zhuang , Jinsen
AU - Zhou , Yan
AU - Li , Jibin
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 549
EP - 564
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.549
UR - https://global-sci.org/intro/article_detail/jnma/21951.html
KW - Bifurcation, exact solution, planar Hamiltonian system, Gerdjikov-Ivanov equation.
AB - <p style="text-align: justify;">For the Gerdjikov-Ivanov equation, by using the method of dynamical system, this paper investigates the exact explicit solutions with the
form $q(x, t) = \phi(\xi) {\rm exp} [i(\kappa x-\omega t +\theta(\xi)],\xi= x-ct.$ In the given parameter
regions, more than 14 explicit exact parametric representations are presented.</p>