Bifurcations and Exact Solutions of the Gerdjikov-Ivanov Equation

Year:    2023

Author:    Jinsen Zhuang, Yan Zhou, Jibin Li

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 549–564

Abstract

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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2023.549

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 549–564

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Bifurcation exact solution planar Hamiltonian system Gerdjikov-Ivanov equation.

Author Details

Jinsen Zhuang

Yan Zhou

Jibin Li