Families of Surface Gap Solitons and Their Stability via the Numerical Evans Function Method

DOI10.1137/090775324zbMath1219.35277arXiv0910.4858OpenAlexW2964096660MaRDI QIDQ3088146

Elisabeth Blank, Tomáš Dohnal

Publication date: 18 August 2011

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4858

zbMATH Keywords

exterior algebraargument principleperiodic nonlinear Schrödinger equationMüller's methodarclength continuationnumerical Evans function methodsurface gap solitons

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Waves and radiation in optics and electromagnetic theory (78A40) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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