Optical soliton perturbation for Gerdjikov-Ivanov equation via two analytical techniques

DOI10.1016/j.cjph.2018.09.023OpenAlexW2892467599MaRDI QIDQ6118627

Milivoj R. Belic, Qin Zhou, Mahmoud Abdelaty, Saima Arshed, Seithuti Philemon Moshokoa, Anjan Biswas

Publication date: 21 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2018.09.023

zbMATH Keywords

perturbationssolitonsGerdjikov-Ivanov equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

Related Items

Optical solitons and stability analysis for the generalized second-order nonlinear Schrödinger equation in an optical fiber, Investigation for optical soliton solutions of two nonlinear Schrödinger equations via two concrete finite series methods

Cites Work

• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• The rogue wave and breather solution of the Gerdjikov-Ivanov equation
• Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
• Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
• New solitary wave solutions for generalized regularized long-wave equation