Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions

DOI10.1016/j.physd.2021.133150zbMath1490.35459OpenAlexW4206198960MaRDI QIDQ2670230

Guoqiang Zhang, Zijian Zhou, Zhenya Yan, Minghe Zhang, Weifang Weng

Publication date: 10 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.133150

zbMATH Keywords

asymptotic analysissoliton-like solutions\(n\)-component NLS equationmixed non-zero and zero backgroundssemi-rational rogon-soliton solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

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• Modulation instability and periodic solutions of the nonlinear Schrödinger equation
• Waves that appear from nowhere and disappear without a trace
• Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
• The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
• Modulation instability: The beginning
• Vector financial rogue waves
• Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates
• 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
• 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
• The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons
• The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
• High-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II
• Financial Rogue Waves
• Water waves, nonlinear Schrödinger equations and their solutions
• Soliton Management in Periodic Systems
• Nonlinear Dynamics of Deep-Water Gravity Waves
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
• Bäcklund transformations and loop group actions
• The Vibrational Structure of Davydov Solitons
• 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
• Vector rogue waves in the Manakov system: diversity and compossibility
• Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation
• General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
• The disintegration of wave trains on deep water Part 1. Theory
• The Propagation of Nonlinear Wave Envelopes
• Rogue Waves

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