Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation
From MaRDI portal
Publication:1644146
DOI10.1016/J.AML.2018.03.018zbMath1489.34029OpenAlexW2794907048MaRDI QIDQ1644146
Juan-Juan Shui, Tao Xu, Min Li
Publication date: 21 June 2018
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.018
NLS equations (nonlinear Schrödinger equations) (35Q55) Ordinary lattice differential equations (34A33)
Related Items (20)
Continuous limit and position adjustable rogue wave solutions for the semi-discrete complex coupled system associated with \(4\times 4\) Lax pair ⋮ On the breathers and rogue waves to a (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients ⋮ Impact of dust kinematic viscosity on the breathers and rogue waves in a complex plasma having kappa distributed particles ⋮ Higher-order matter rogue waves and their deformations in two-component Bose–Einstein condensates ⋮ Exploring the Salerno model for rogue wave generation: a linear stability analysis beyond the DNLS and AL limits ⋮ Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain ⋮ Lump-type and interaction solutions to an extended (3 + 1)-dimensional Jimbo–Miwa equation ⋮ Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: exact traveling wave solutions and analysis ⋮ Soliton interactions and their dynamics in a higher-order nonlinear self-dual network equation ⋮ Semi-rational solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation in a plasma or fluid ⋮ New solitary wave solutions of \((2+1)\)-dimensional space-time fractional Burgers equation and Korteweg-de Vries equation ⋮ Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair ⋮ Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings ⋮ Nonautonomous soliton solutions for a nonintegrable Korteweg-de Vries equation with variable coefficients by the variational approach ⋮ Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system ⋮ Degenerate Solutions of the Nonlinear Self-Dual Network Equation ⋮ Bilinear Forms and Dark-Dark Solitons for the Coupled Cubic-Quintic Nonlinear Schrödinger Equations with Variable Coefficients in a Twin-Core Optical Fiber or Non-Kerr Medium* ⋮ Solitary-wave and new exact solutions for an extended (3+1)-dimensional Jimbo-Miwa-like equation ⋮ Dynamics of discrete soliton propagation and elastic interaction in a higher-order coupled Ablowitz-Ladik equation ⋮ Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice
Cites Work
- Unnamed Item
- Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
- Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers
- Extreme waves that appear from nowhere: on the nature of rogue waves
- Homoclinic chaos increases the likelihood of rogue wave formation
- Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrödinger equation
- \(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation
- Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation
- Water waves, nonlinear Schrödinger equations and their solutions
- New Double Wronskian Solutions of the Whitham-Broer-Kaup System: Asymptotic Analysis and Resonant Soliton Interactions
- The disintegration of wave trains on deep water Part 1. Theory
This page was built for publication: Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation
