Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation

DOI10.1016/j.aml.2023.108691zbMath1530.35268OpenAlexW4366503408MaRDI QIDQ6112057

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108691

zbMATH Keywords

dynamic behavior coupled Gerdjikov-Ivanov equation breather waves Darboux-dressing transformation higher-order rouge waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
Modulation instability and periodic solutions of the nonlinear Schrödinger equation
Waves that appear from nowhere and disappear without a trace
Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation
Infinite propagation speed of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
Modulational instability and higher order-rogue wave solutions for the generalized discrete Hirota equation
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
Integrable turbulence and formation of rogue waves
An exact solution for a derivative nonlinear Schrödinger equation
Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations
Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation
Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
Symmetries and differential equations

This page was built for publication: Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation