Bright and dark solitons and periodic wave solutions for the Gerdjikov-Ivanov equation in nonlinear fiber optics
DOI10.1016/j.jmaa.2022.126764zbMath1501.35343OpenAlexW4304892699MaRDI QIDQ2097568
Publication date: 14 November 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126764
Stability in context of PDEs (35B35) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)
Related Items (1)
Cites Work
- Unnamed Item
- Generalized Darboux transformation and rational soliton solutions for Chen-Lee-Liu equation
- Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model
- Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
- Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation
- Direct search for exact solutions to the nonlinear Schrödinger equation
- Exact solution to higher-order nonlinear equations through gauge transformation
- New factorization of the Kaup-Newell hierarchy
- Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
- Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
- Solitons and modulation instability of the perturbed Gerdjikov-Ivanov equation with spatio-temporal dispersion
- Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma
- Some localized wave solutions for the coupled Gerdjikov-Ivanov equation
- 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
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS (II): AN EXAMPLE OF GCKdV EQUATIONS
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
- Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality
- On the modulation of water waves in the neighbourhood of kh ≈ 1.363
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
- Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)
- Classification and Traveling Wave Solutions for the Gilson–Pickering Equation
- Reduced nonlocal integrable mKdV equations of type (−λ, λ) and their exact soliton solutions
- Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation
This page was built for publication: Bright and dark solitons and periodic wave solutions for the Gerdjikov-Ivanov equation in nonlinear fiber optics