Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models

DOI10.1016/j.wavemoti.2024.103324MaRDI QIDQ6573578

E. G. Charalampidis, N. I. Karachalios, Dirk Hennig, P. G. Kevrekidis, Jesús Cuevas-Maraver, Guillaume James

Publication date: 16 July 2024

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

solitonsdiscrete nonlinear Schrödinger equationbreathersdiscrete solitonsrogue wavesquasi-periodic solitons

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

• Modulation instability and periodic solutions of the nonlinear Schrödinger equation
• Rogue waves in the ocean
• Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems
• Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems
• Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators
• Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
• Water waves, nonlinear Schrödinger equations and their solutions
• Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• General rogue waves in the focusing and defocusing Ablowitz–Ladik equations
• Elements of Applied Bifurcation Theory

Related Items (1)

The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite-dimensional approximations

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