Exact solutions of the nonlocal Gerdjikov-Ivanov equation
From MaRDI portal
Publication:6046354
DOI10.1088/1572-9494/ac1065zbMath1514.35080OpenAlexW3198493019MaRDI QIDQ6046354
Rusuo Ye, Yu Lou, Yi Zhang, Miao Li
Publication date: 10 May 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/ac1065
NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Related Items
Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation ⋮ Hybrid structures of localized waves for the coupled extended mKdV equation
Cites Work
- Unnamed Item
- Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation
- Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model
- Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
- Vector rational and semi-rational rogue wave solutions in the coupled complex modified Korteweg-de Vries equations
- Solutions and connections of nonlocal derivative nonlinear Schrödinger equations
- General soliton solutions to a coupled Fokas-Lenells equation
- Pure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation
- \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves
- Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation
- Darboux transformation of the variable coefficient nonlocal equation
- Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions
- Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
- Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma
- Exact solutions of nonlocal Fokas-Lenells equation
- Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy
- Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries 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
- Nonlinear-Evolution Equations of Physical Significance
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
- Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
- Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation
- Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation