Bright and dark soliton solutions to the AB system and its multi-component generalization
From MaRDI portal
Publication:2005237
DOI10.1016/j.cnsns.2016.11.014OpenAlexW2557088952MaRDI QIDQ2005237
Guo-Fu Yu, Juan Hu, Zong-Wei Xu, Hai-Qiong Zhao
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.11.014
Related Items (15)
Non-holonomic and quasi-integrable deformations of the AB equations ⋮ Bright-dark soliton solutions of the multi-component AB system ⋮ Multi-bright-dark soliton solutions to the AB system in nonlinear optics ⋮ Breather solutions to the AB system with non-zero background ⋮ General rogue waves in the AB system ⋮ Bi-Dbar-approach for a coupled shifted nonlocal dispersionless system ⋮ Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber ⋮ Integrable discretizations of AB system and multi-soliton solutions ⋮ \(N\)th-order rogue waves for the \(AB\) system via the determinants ⋮ Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows ⋮ Higher-order semirational solutions and W-shaped solitons for the multi-component AB system ⋮ Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation ⋮ Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized \(AB\) system ⋮ Supersymmetric integrable AB system ⋮ \(N\)-fold binary Darboux transformation for the \(n\)th-order Ablowitz-Kaup-Newell-Segur system under a pseudo-symmetry hypothesis
Cites Work
- Unnamed Item
- Integrability aspects and soliton solutions for an inhomogeneous nonlinear system with symbolic computation
- Solitons and infinite dimensional Lie algebras
- Complex short pulse and coupled complex short pulse equations
- Complex and coupled complex negative order AKNS equation
- Soliton dynamics to the multi-component complex coupled integrable dispersionless equation
- Rogue wave solutions of AB system
- From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations
- General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations
- GeneralN-soliton solution to a vector nonlinear Schrödinger equation
- On the propagation of vector ultra-short pulses
- An example of soliton behaviour in a rotating baroclinic fluid
- Evolution of baroclinic wave packets in a flow with continuous shear and stratification
- A coupled “AB” system: Rogue waves and modulation instabilities
- Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
- Envelope Solitary Waves and Periodic Waves in the AB Equations
- Periodic solutions and Whitham equations for the AB system
This page was built for publication: Bright and dark soliton solutions to the AB system and its multi-component generalization
