Solitary Waves and Their Linear Stability in Nonlinear Lattices

DOI10.1111/j.1467-9590.2011.00538.xzbMath1251.35149arXiv1107.0331OpenAlexW2963227547MaRDI QIDQ2896007

T. R. Akylas, Guenbo Hwang, Jianke Yang

Publication date: 13 July 2012

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0331

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items

Exponential Asymptotics for Line Solitons in Two-Dimensional Periodic Potentials ⋮ Exponential Asymptotics for Solitons in PT-Symmetric Periodic Potentials ⋮ Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schrödinger equations ⋮ Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schrödinger equations ⋮ Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice

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