Extended nonlinear waves in multidimensional dynamical lattices

DOI10.1016/J.MATCOM.2009.08.035zbMath1187.37111OpenAlexW2155327798MaRDI QIDQ2655819

Yanyan Li

Publication date: 26 January 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.08.035

zbMATH Keywords

Schrödinger equationdiscrete solitonsnonlinear lattices

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

Transverse instability of line solitary waves in massive Dirac equations ⋮ On transverse stability of discrete line solitons

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation
• Stability of discrete solitons in nonlinear Schrödinger lattices
• Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
• Dipole and Quadrupole Solitons in Optically Induced Two‐Dimensional Photonic Lattices: Theory and Experiment
• Nonlinear dynamics and statistical physics of DNA

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