Vector breathers in the Manakov system
From MaRDI portal
Publication:6089557
DOI10.1111/sapm.12558zbMath1529.35130arXiv2211.07014MaRDI QIDQ6089557
Andrey Gelash, Anton Alexandrovich Raskovalov
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.07014
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-soliton interaction as an elementary act of soliton turbulence in integrable systems
- Rogue waves in the ocean
- Extreme waves that appear from nowhere: on the nature of rogue waves
- Drifting breathers and Fermi-Pasta-Ulam paradox for water waves
- What makes the Peregrine soliton so special as a prototype of freak waves?
- Nonlinear optical waves
- Long-time asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions in the presence of a discrete spectrum
- Inverse Scattering Method for the Nonlinear Evolution Equations under Nonvanishing Conditions
- Universal Nature of the Nonlinear Stage of Modulational Instability
- Water waves, nonlinear Schrödinger equations and their solutions
- The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. II
- Integrable turbulence and formation of rogue waves
- The focusing Manakov system with nonzero boundary conditions
- Turbulence in Integrable Systems
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- Soliton interactions in the vector NLS equation
- Vector rogue waves in the Manakov system: diversity and compossibility
- Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability
