Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
DOI10.1088/1572-9494/ac6799zbMath1514.35386OpenAlexW4224102273WikidataQ114096361 ScholiaQ114096361MaRDI QIDQ6157052
Zhenya Yan, Unnamed Author, Shu-Yan Chen, Weifang Weng, Zijian Zhou
Publication date: 19 June 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/ac6799
asymptotic analysismodified Darboux transformmixed backgroundsmulti-component Hirota equationssemi-rational solitons
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms
- Rogue waves in the ocean
- Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
- Vector financial rogue waves
- Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates
- PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
- Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds
- Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds
- Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions
- Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation
- Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics
- Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions
- The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
- Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions
- Non-degenerate multi-rogue waves and easy ways of their excitation
- High-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II
- Financial Rogue Waves
- Water waves, nonlinear Schrödinger equations and their solutions
- Bäcklund transformations and loop group actions
- Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation
- Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation
- The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
- Vector rogue waves in the Manakov system: diversity and compossibility
- Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
- Exact envelope-soliton solutions of a nonlinear wave equation
- Rogue Waves
- Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation
This page was built for publication: Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
