Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
From MaRDI portal
Publication:4591809
DOI10.1063/1.4937925zbMath1374.37092OpenAlexW2208106046WikidataQ50744774 ScholiaQ50744774MaRDI QIDQ4591809
Publication date: 17 November 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4937925
Related Items (38)
Long-time asymptotic behavior of the coupled dispersive AB system in low regularity spaces ⋮ Modulational instability and higher-order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers ⋮ Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations ⋮ Quasi-periodic waves and irregular solitary waves of the AB system ⋮ Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation ⋮ Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system ⋮ On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves ⋮ Localized wave solutions and mixed interaction structures in the AB system ⋮ Bright-dark soliton solutions of the multi-component AB system ⋮ Rogue waves in the massive Thirring model ⋮ General high-order rogue waves in the Hirota equation ⋮ A special two-dimensional lattice by Blaszak and Szum: solitons, breathers, lump solutions, and their interactions and dynamics ⋮ Modulational instability and location controllable lump solutions with mixed interaction phenomena for the \((2+1)\)-dimensional Myrzakulov-Lakshmanan-IV equation ⋮ Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation ⋮ Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability ⋮ Dynamics of higher‐order rational and semi‐rational soliton solutions of the coupled modified KdV lattice equation ⋮ Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics ⋮ The two-dimensional Leznov lattice equation and its various solutions ⋮ The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation ⋮ Integrable discretizations of AB system and multi-soliton solutions ⋮ An integrable noncommutative generalization of the AB system and its multisoliton solutions ⋮ Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics ⋮ \(N\)th-order rogue waves for the \(AB\) system via the determinants ⋮ Multi-dark-dark solitons of the integrable repulsive AB system via the determinants ⋮ Rogue waves and W-shaped solitons in the multiple self-induced transparency system ⋮ The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures ⋮ Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours ⋮ Higher-order semirational solutions and W-shaped solitons for the multi-component AB system ⋮ Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov-Ivanov equation ⋮ Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems ⋮ Bright and dark soliton solutions to the AB system and its multi-component generalization ⋮ Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates ⋮ Mixed solutions for an AB system in geophysical fluids or nonlinear optics ⋮ Whitham modulation theory of the defocusing AB system and its application ⋮ Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations ⋮ Dynamical behaviour of rogue wave solutions in a multi-component AB system ⋮ Rational solutions of a (2+1)-dimensional sinh-Gordon equation
Cites Work
- Unnamed Item
- Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms
- Are rogue waves robust against perturbations?
- Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients
- Modulation instability and periodic solutions of the nonlinear Schrödinger equation
- Rogue waves in the ocean
- Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
- The real and complex Lorenz equations and their relevance to physical systems
- Physical mechanisms of the rogue wave phenomenon.
- Nonlinear-dispersive mechanism of the freak wave formation in shallow water
- The canonical AB system: conservation laws and soliton solutions
- Vector financial rogue waves
- Rogue wave solutions of AB system
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- Water waves, nonlinear Schrödinger equations and their solutions
- An example of soliton behaviour in a rotating baroclinic fluid
- Amplitude equations at the critical points of unstable dispersive physical systems
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- The Sine-Gordon Equation as a Model for a Rapidly Rotating Baroclinic Fluid
- Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation
- Periodic solutions and Whitham equations for the AB system
- Vector rogue waves in the Manakov system: diversity and compossibility
- Multi-rogue waves solutions: from the NLS to the KP-I equation
- Oceanic Rogue Waves
- The disintegration of wave trains on deep water Part 1. Theory
This page was built for publication: Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
