Mechanisms of stationary converted waves and their complexes in the multi-component AB system
From MaRDI portal
Publication:2077875
DOI10.1016/j.physd.2021.132849OpenAlexW3125101655MaRDI QIDQ2077875
Lei Wang, Tao Xu, Han-Song Zhang, Wen-Rong Sun, Xin Wang
Publication date: 22 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.132849
modulation instabilitystate conversionmulti-component AB systemnonlinear superposition mechanismmixed solutionnonlinear wave complex
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Periodic solutions to PDEs (35B10) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Perturbations in context of PDEs (35B20) Soliton solutions (35C08) Rossby waves (76U65)
Related Items
Non-holonomic and quasi-integrable deformations of the AB equations, Resonant solitons of the B-type Kadomtsev-Petviashvili equation, Nonlinear Wave Molecules for the Lakshmanan–Porsezian–Daniel Equation in Nonlinear Optics and Biology, Bi-Dbar-approach for a coupled shifted nonlocal dispersionless system, Mixed localized wave solutions of the Hirota equation, Periodic-wave and semi-rational solutions for the \((3+1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation, Degenerate soliton, breather and localized solutions for a nonlinear Schrödinger and Maxwell-Bloch system, Quantum breathers in a two-dimensional hexangular Heisenberg ferromagnet, Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system, Mixed solutions for an AB system in geophysical fluids or nonlinear optics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dark and composite rogue waves in the coupled Hirota equations
- Modulation instability and periodic solutions of the nonlinear Schrödinger equation
- Dynamical behaviour of rogue wave solutions in a multi-component AB system
- State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
- Bilinear transformation method
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
- Multi-dark soliton solutions for a coupled AB system in the geophysical flows
- The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
- Intensity limits for stationary and interacting multi-soliton complexes
- Nonlinear waves in the modulation instability regime for the fifth-order nonlinear Schrödinger equation
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- Rogue periodic waves of the sine-Gordon equation
- Bright-dark soliton solutions of the multi-component AB system
- Periodic and rational solutions of the reduced Maxwell-Bloch equations
- Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair
- Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation
- Rogue wave solutions of AB system
- Multi-soliton complexes
- Water waves, nonlinear Schrödinger equations and their solutions
- A generalization of the coupled integrable dispersionless equations
- An example of soliton behaviour in a rotating baroclinic fluid
- Evolution of baroclinic wave packets in a flow with continuous shear and stratification
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- Solitons in Molecular Systems
- On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations
- The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
- A coupled “AB” system: Rogue waves and modulation instabilities
- Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects
- Envelope Solitary Waves and Periodic Waves in the AB Equations
- Periodic solutions and Whitham equations for the AB system
- On a vector long wave‐short wave‐type model
- Finite-amplitude baroclinic instability of a mesoscale gravity current in a channel
- Dynamics of perturbations at the critical points between modulation instability and stability regimes
- Moving breathers and breather-to-soliton conversions for the Hirota equation
- Darboux transformation and dark rogue wave states arising from two-wave resonance interaction
